mponty/code_champs_meta · Datasets at Hugging Face

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1261A	1261	A	ru	A. Грязно	<div class="problem-statement"><div class="header"><div class="title">A. Грязно</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вы устали от своей грязной комнаты, поэтому вы решили в ней прибраться.</p><p>Ваша комната это скобочная последовательность $$$s=s_{1}s_{2}\dots s_{n}$$$ длины $$$n$$$. Каждый символ этой строки это либо открывающая круглая скобка '<span class="tex-font-style-tt">(</span>', либо закрывающая круглая скобка '<span class="tex-font-style-tt">)</span>'.</p><p>За одну операцию вы можете выбрать любую подстроку строки $$$s$$$ и перевернуть ее. Формально, за одну операцию вы можете выбрать подстроку $$$s[l \dots r]=s_l, s_{l+1}, \dots, s_r$$$ и поменять порядок элементов в ней на $$$s_r, s_{r-1}, \dots, s_{l}$$$.</p><p>Например, если вы захотите перевернуть подстроку $$$s[2 \dots 4]$$$ строки $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">(()</span>))</span>», она станет равна $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">)((</span>))</span>».</p><p><span class="tex-font-style-bf">Правильной</span> скобочной последовательностью называется скобочная последовательность, которую можно преобразовать в корректное арифметическое выражение путем вставок между ее символами символов '<span class="tex-font-style-tt">1</span>' и '<span class="tex-font-style-tt">+</span>'. Например, скобочные последовательности «<span class="tex-font-style-tt">()()</span>», «<span class="tex-font-style-tt">(())</span>» — правильные (полученные выражения: «<span class="tex-font-style-tt">(1)+(1)</span>», «<span class="tex-font-style-tt">((1+1)+1)</span>»), а «<span class="tex-font-style-tt">)(</span>» и «<span class="tex-font-style-tt">(</span>» — нет.</p><p>Префиксом строки $$$s$$$ называется её подстрока, которая начинается с индекса $$$1$$$. Например, для строки $$$s=$$$«<span class="tex-font-style-tt">(())()</span>» есть $$$6$$$ префиксов: «<span class="tex-font-style-tt">(</span>», «<span class="tex-font-style-tt">((</span>», «<span class="tex-font-style-tt">(()</span>», «<span class="tex-font-style-tt">(())</span>», «<span class="tex-font-style-tt">(())(</span>» и «<span class="tex-font-style-tt">(())()</span>».</p><p>По вашему мнению, красивая и чистая комната $$$s$$$ — это такая, что:</p><ul> <li> вся строка $$$s$$$ целиком является <span class="tex-font-style-it">правильной скобочной</span>; </li><li> <span class="tex-font-style-bf">и</span> ровно $$$k$$$ ее префиксов(включая всю строку $$$s$$$) являются правильными скобочными. </li></ul><p>Например, если $$$k = 2$$$, то «<span class="tex-font-style-tt">(())()</span>» это красивая и чистая комната.</p><p>Вы хотите использовать не более $$$n$$$ операций, чтобы сделать вашу комнату красивой и чистой. Операции применяются последовательно, одна за другой.</p><p>Гарантируется, что ответ существует. Обратите внимание, что вам <span class="tex-font-style-bf">не нужно</span> минимизировать количество операций — найдите любой способ достичь требуемой конфигурации за $$$n$$$ или менее операций.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке записаны два целых числа $$$n$$$ и $$$k$$$ ($$$1 \le k \le \frac{n}{2}, 2 \le n \le 2000$$$, $$$n$$$ четно) — длина $$$s$$$ и необходимое количество правильных префиксов.</p><p>Во второй строке записана $$$s$$$ длины $$$n$$$ — данная скобочная последовательность. Все символы строки равны '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'.</p><p>Гарантируется, что в данной строке ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">(</span>' и ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">)</span>'.</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого из наборов входных данных выведите ответ.</p><p>В первой строке выведите число $$$m$$$ ($$$0 \le m \le n$$$) — количество операций. Вам <span class="tex-font-style-bf">не требуется</span> минимизировать $$$m$$$, это число может быть любым.</p><p>В следующих $$$m$$$ строках выведите описания операций, каждая строка должна содержать два целых числа $$$l,r$$$ ($$$1 \le l \le r \le n$$$), описывающих операцию переворота подстроки $$$s[l \dots r]=s_{l}s_{l+1}\dots s_{r}$$$. Операции выполняются последовательно одна за другой.</p><p>Итоговая строка $$$s$$$ после применения всех операций должна быть правильной, ровно $$$k$$$ её префиксов (включая $$$s$$$) должны быть правильными.</p><p>Гарантируется, что ответ существует. Если есть несколько возможных ответов, вы можете вывести любой.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 8 2 ()(())() 10 3 ))()()()(( 2 1 () 2 1 )( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 4 1 1 5 8 2 2 3 4 10 1 4 6 7 0 1 1 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере итоговая последовательность — это «<span class="tex-font-style-tt">()(()())</span>», в которой два префикса корректные, «<span class="tex-font-style-tt">()</span>» и «<span class="tex-font-style-tt">()(()())</span>». Обратите внимание, что все операции кроме «<span class="tex-font-style-tt">5 8</span>» в примере вывода не меняют текущую строку $$$s$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="9d339a09a964ed3f58ec88ffc59f0e23"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - A - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="638693c2dea00adc4e749e973fa50ecc8d8b67ca"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - A - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_0fb597c4299eb3e173765114ff6e5bd47efe1ec4"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Грязно</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вы устали от своей грязной комнаты, поэтому вы решили в ней прибраться.</p><p>Ваша комната это скобочная последовательность $$$s=s_{1}s_{2}\dots s_{n}$$$ длины $$$n$$$. Каждый символ этой строки это либо открывающая круглая скобка '<span class="tex-font-style-tt">(</span>', либо закрывающая круглая скобка '<span class="tex-font-style-tt">)</span>'.</p><p>За одну операцию вы можете выбрать любую подстроку строки $$$s$$$ и перевернуть ее. Формально, за одну операцию вы можете выбрать подстроку $$$s[l \dots r]=s_l, s_{l+1}, \dots, s_r$$$ и поменять порядок элементов в ней на $$$s_r, s_{r-1}, \dots, s_{l}$$$.</p><p>Например, если вы захотите перевернуть подстроку $$$s[2 \dots 4]$$$ строки $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">(()</span>))</span>», она станет равна $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">)((</span>))</span>».</p><p><span class="tex-font-style-bf">Правильной</span> скобочной последовательностью называется скобочная последовательность, которую можно преобразовать в корректное арифметическое выражение путем вставок между ее символами символов '<span class="tex-font-style-tt">1</span>' и '<span class="tex-font-style-tt">+</span>'. Например, скобочные последовательности «<span class="tex-font-style-tt">()()</span>», «<span class="tex-font-style-tt">(())</span>» — правильные (полученные выражения: «<span class="tex-font-style-tt">(1)+(1)</span>», «<span class="tex-font-style-tt">((1+1)+1)</span>»), а «<span class="tex-font-style-tt">)(</span>» и «<span class="tex-font-style-tt">(</span>» — нет.</p><p>Префиксом строки $$$s$$$ называется её подстрока, которая начинается с индекса $$$1$$$. Например, для строки $$$s=$$$«<span class="tex-font-style-tt">(())()</span>» есть $$$6$$$ префиксов: «<span class="tex-font-style-tt">(</span>», «<span class="tex-font-style-tt">((</span>», «<span class="tex-font-style-tt">(()</span>», «<span class="tex-font-style-tt">(())</span>», «<span class="tex-font-style-tt">(())(</span>» и «<span class="tex-font-style-tt">(())()</span>».</p><p>По вашему мнению, красивая и чистая комната $$$s$$$ — это такая, что:</p><ul> <li> вся строка $$$s$$$ целиком является <span class="tex-font-style-it">правильной скобочной</span>; </li><li> <span class="tex-font-style-bf">и</span> ровно $$$k$$$ ее префиксов(включая всю строку $$$s$$$) являются правильными скобочными. </li></ul><p>Например, если $$$k = 2$$$, то «<span class="tex-font-style-tt">(())()</span>» это красивая и чистая комната.</p><p>Вы хотите использовать не более $$$n$$$ операций, чтобы сделать вашу комнату красивой и чистой. Операции применяются последовательно, одна за другой.</p><p>Гарантируется, что ответ существует. Обратите внимание, что вам <span class="tex-font-style-bf">не нужно</span> минимизировать количество операций — найдите любой способ достичь требуемой конфигурации за $$$n$$$ или менее операций.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке записаны два целых числа $$$n$$$ и $$$k$$$ ($$$1 \le k \le \frac{n}{2}, 2 \le n \le 2000$$$, $$$n$$$ четно) — длина $$$s$$$ и необходимое количество правильных префиксов.</p><p>Во второй строке записана $$$s$$$ длины $$$n$$$ — данная скобочная последовательность. Все символы строки равны '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'.</p><p>Гарантируется, что в данной строке ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">(</span>' и ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">)</span>'.</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого из наборов входных данных выведите ответ.</p><p>В первой строке выведите число $$$m$$$ ($$$0 \le m \le n$$$) — количество операций. Вам <span class="tex-font-style-bf">не требуется</span> минимизировать $$$m$$$, это число может быть любым.</p><p>В следующих $$$m$$$ строках выведите описания операций, каждая строка должна содержать два целых числа $$$l,r$$$ ($$$1 \le l \le r \le n$$$), описывающих операцию переворота подстроки $$$s[l \dots r]=s_{l}s_{l+1}\dots s_{r}$$$. Операции выполняются последовательно одна за другой.</p><p>Итоговая строка $$$s$$$ после применения всех операций должна быть правильной, ровно $$$k$$$ её префиксов (включая $$$s$$$) должны быть правильными.</p><p>Гарантируется, что ответ существует. Если есть несколько возможных ответов, вы можете вывести любой.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 8 2 ()(())() 10 3 ))()()()(( 2 1 () 2 1 )( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 4 1 1 5 8 2 2 3 4 10 1 4 6 7 0 1 1 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере итоговая последовательность — это «<span class="tex-font-style-tt">()(()())</span>», в которой два префикса корректные, «<span class="tex-font-style-tt">()</span>» и «<span class="tex-font-style-tt">()(()())</span>». 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adedalic">adedalic</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261C">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D1" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D1 - Wrong Answer on test 233 (Easy Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D2 - Wrong Answer on test 233 (Hard Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1261" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <script type="text/javascript"> $(document).ready(function () { $(".delete-resource-link-105400-72270").click(function() { var that = this; Codeforces.confirm("Are you sure you want to detach a contest?", function () { $.post("/data/blogAndContest", { action: "detachBlogFromContest", blogId: "105400", blogEntryId: "71740", contestId: $(that).attr("data-contestId"), resourceIds: $(that).attr("data-resourceIds") }, function(json) { Codeforces.reloadAndShowMessageOrShowError(json, "Contest detached"); }); }, function () {}, "Yes", "No"); }); }); </script> <div style="font-size: 1.1rem;line-height: 11px;"> <img style="vertical-align: middle;" src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" /></a> </li> </ul> </div> <span style="position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;"> </span> <div class="right-meta"> <ul> <li> <a href="/profile/mystery"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/user_16x16.png" alt="Author" title="Author" /></a> <a href="/profile/mystery"> mystery </a> </li> <li> <img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/date_16x16.png" alt="Publication date" title="Publication date" /> <span class="format-humantime" title="Nov/26/2019 08:26">4 years ago</span> </li> <li> <a href="/blog/entry/71740#comments"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/comments_16x16.png" alt="Comments" title="Comments" /></a> <a href="/blog/entry/71740#comments"> 60 </a> </li> </ul> </div> <br style="clear:both;"/> </div> <style type="text/css"> .comments .title { float: left; } .comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261B1	1261	B1	ru	B1. Оптимальные подпоследовательности (упрощённая версия)	<div class="problem-statement"><div class="header"><div class="title">B1. Оптимальные подпоследовательности (упрощённая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n, m \le 100$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 100$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 100$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="bd9c18d7ed382cdb4b419e63a5ab61a5"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B1 - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="638693c2dea00adc4e749e973fa50ecc8d8b67ca"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B1 - Codeforces</title> <meta name="description" content="Codeforces. 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Просто зарегистрируйтесь на дорешивание. </div> <div style="text-align:center;margin:1em;"> <form action="" method="post"><input type='hidden' name='csrf_token' value='bd9c18d7ed382cdb4b419e63a5ab61a5'/> <input type="hidden" name="action" value="registerForPractice"/> <input type="submit" name="submit" value="Зарегистрироваться" style="padding:0 0.5em;"> </form> </div> </div> </div> <div class="roundbox sidebox ContestVirtualFrame borderTopRound " style=""> <div class="caption titled">→ Виртуальное участие <i class="sidebar-caption-icon las la-angle-down"></i> <div class="top-links"> </div> </div> <div style=" " data-page-url="/data/sidebarFrames" > <div style="margin:1em;font-size:0.8em;"> Виртуальное соревнование – это способ прорешать прошедшее соревнование в режиме, максимально близком к участию во время его проведения. Поддерживается только ICPC режим для виртуальных соревнований. Если вы раньше видели эти задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1600 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='bd9c18d7ed382cdb4b419e63a5ab61a5'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="479746"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='bd9c18d7ed382cdb4b419e63a5ab61a5'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="479746"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B1" data-uuid="ps_e3be4f1f5398769df18a687ffb7eac14988eac03"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B1. Оптимальные подпоследовательности (упрощённая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n, m \le 100$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 100$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 100$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B1]"); 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adedalic">adedalic</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261C">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D1" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D1 - Wrong Answer on test 233 (Easy Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D2 - Wrong Answer on test 233 (Hard Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1261" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <script type="text/javascript"> $(document).ready(function () { $(".delete-resource-link-105400-72270").click(function() { var that = this; Codeforces.confirm("Are you sure you want to detach a contest?", function () { $.post("/data/blogAndContest", { action: "detachBlogFromContest", blogId: "105400", blogEntryId: "71740", contestId: $(that).attr("data-contestId"), resourceIds: $(that).attr("data-resourceIds") }, function(json) { Codeforces.reloadAndShowMessageOrShowError(json, "Contest detached"); }); }, function () {}, "Yes", "No"); }); }); </script> <div style="font-size: 1.1rem;line-height: 11px;"> <img style="vertical-align: middle;" src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" /></a> </li> </ul> </div> <span style="position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;"> </span> <div class="right-meta"> <ul> <li> <a href="/profile/mystery"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/user_16x16.png" alt="Author" title="Author" /></a> <a href="/profile/mystery"> mystery </a> </li> <li> <img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/date_16x16.png" alt="Publication date" title="Publication date" /> <span class="format-humantime" title="Nov/26/2019 08:26">4 years ago</span> </li> <li> <a href="/blog/entry/71740#comments"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/comments_16x16.png" alt="Comments" title="Comments" /></a> <a href="/blog/entry/71740#comments"> 60 </a> </li> </ul> </div> <br style="clear:both;"/> </div> <style type="text/css"> .comments .title { float: left; } .comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261B2	1261	B2	ru	B2. Оптимальные подпоследовательности (усложненная версия)	<div class="problem-statement"><div class="header"><div class="title">B2. Оптимальные подпоследовательности (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n, m \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 2\cdot10^5$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="48136219b9676fdacd4c85cd3b232579"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B2 - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="638693c2dea00adc4e749e973fa50ecc8d8b67ca"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B2 - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B2" data-uuid="ps_bbfbb3feb59111b50cf83d3ee441b16ae060acca"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B2. Оптимальные подпоследовательности (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n, m \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 2\cdot10^5$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B2]"); 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261C	1261	C	ru	C. Поджог в лесу Берляндии	<div class="problem-statement"><div class="header"><div class="title">C. Поджог в лесу Берляндии</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Представим лес Берляндии как бесконечное клеточное поле. В каждой клетке растет дерево. Или росло, до недавних событий.</p><p>Разрушительный огонь бушевал в лесу и уничтожил несколько деревьев. У вас есть прямоугольная карта $$$n \times m$$$, которая описывает поврежденную часть леса. Сожженные деревья отмечены на карте как «<span class="tex-font-style-tt">X</span>», в то время как остальные отмечены как «<span class="tex-font-style-tt">.</span>». <span class="tex-font-style-bf">Вы можете быть уверены, что все поврежденные деревья отмечены на карте. Все деревья за пределами карты — не повреждены.</span></p><p>Пожарные быстро потушили огонь, и теперь расследуют данный инцидент. Основная версия — это поджог: в какой-то момент времени (примем этот момент за $$$0$$$) несколько деревьев были подожжены. В начале минуты $$$0$$$ горели только подожженные деревья. В конце каждой минуты огонь распространяется от горящего дерева к $$$8$$$ соседним к нему деревьям. В начале минуты $$$T$$$ огонь был потушен.</p><p>Пожарные хотят найти поджигателей так быстро как это возможно. Но проблема в том, что они не знают ни значение $$$T$$$ (как долго бушевал пожар), ни местоположение деревьев, которые были подожжены. Они хотят, чтобы вы определили максимальное значение $$$T$$$ (чтобы узнать, сколько времени в запасе у поджигателей) и возможное множество деревьев, которые были подожжены.</p><p>Заметим, что вы хотите максимизировать значение $$$T$$$, но множество деревьев может быть произвольным.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке заданы два целых числа $$$n$$$ и $$$m$$$ ($$$1 \le n, m \le 10^6$$$, $$$1 \le n \cdot m \le 10^6$$$) — размеры карты.</p><p>В следующих $$$n$$$ строках задана карта. Строка $$$i$$$ соответствует $$$i$$$-й строке карты и содержит строку из $$$m$$$ символов. $$$j$$$-й символ $$$i$$$-й строки либо «<span class="tex-font-style-tt">X</span>», если соответствующее дерево сгорело, либо «<span class="tex-font-style-tt">.</span>» — если осталось в целости.</p><p>Гарантируется, что карта содержит хотя бы один «<span class="tex-font-style-tt">X</span>».</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите единственное число $$$T$$$ — максимальное время, которое мог гореть лес. В следующих $$$n$$$ строках выведите сертификат: карту (прямоугольник $$$n \times m$$$), на которой подожженные деревья отмечены как «<span class="tex-font-style-tt">X</span>», а оставшиеся как «<span class="tex-font-style-tt">.</span>».</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 XXXXXX XXXXXX XXXXXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 ...... .X.XX. ...... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 10 .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. .......... </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 .......... .......... ...XX..... .......... .......... .......... .....XX... .......... .......... .......... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 5 X.... ..XXX ..XXX ..XXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 X.... ..XXX ..XXX ..XXX </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="d6101be859233ae14c1f51ccf3c817f4"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - C - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="638693c2dea00adc4e749e973fa50ecc8d8b67ca"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - C - Codeforces</title> <meta name="description" content="Codeforces. 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Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1261/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Кратчайшие пути на графах"> кратчайшие пути </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Перебор"> перебор </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Поиск в глубину и подобные алгоритмы"> поиск в глубину и подобное </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Кучи, деревья отрезков, деревья поиска и др."> структуры данных </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_e6e8b9ace4d31a6e44e7f86777de27f39dbd3d1a"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Поджог в лесу Берляндии</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Представим лес Берляндии как бесконечное клеточное поле. В каждой клетке растет дерево. Или росло, до недавних событий.</p><p>Разрушительный огонь бушевал в лесу и уничтожил несколько деревьев. У вас есть прямоугольная карта $$$n \times m$$$, которая описывает поврежденную часть леса. Сожженные деревья отмечены на карте как «<span class="tex-font-style-tt">X</span>», в то время как остальные отмечены как «<span class="tex-font-style-tt">.</span>». <span class="tex-font-style-bf">Вы можете быть уверены, что все поврежденные деревья отмечены на карте. Все деревья за пределами карты — не повреждены.</span></p><p>Пожарные быстро потушили огонь, и теперь расследуют данный инцидент. Основная версия — это поджог: в какой-то момент времени (примем этот момент за $$$0$$$) несколько деревьев были подожжены. В начале минуты $$$0$$$ горели только подожженные деревья. В конце каждой минуты огонь распространяется от горящего дерева к $$$8$$$ соседним к нему деревьям. В начале минуты $$$T$$$ огонь был потушен.</p><p>Пожарные хотят найти поджигателей так быстро как это возможно. Но проблема в том, что они не знают ни значение $$$T$$$ (как долго бушевал пожар), ни местоположение деревьев, которые были подожжены. Они хотят, чтобы вы определили максимальное значение $$$T$$$ (чтобы узнать, сколько времени в запасе у поджигателей) и возможное множество деревьев, которые были подожжены.</p><p>Заметим, что вы хотите максимизировать значение $$$T$$$, но множество деревьев может быть произвольным.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке заданы два целых числа $$$n$$$ и $$$m$$$ ($$$1 \le n, m \le 10^6$$$, $$$1 \le n \cdot m \le 10^6$$$) — размеры карты.</p><p>В следующих $$$n$$$ строках задана карта. Строка $$$i$$$ соответствует $$$i$$$-й строке карты и содержит строку из $$$m$$$ символов. $$$j$$$-й символ $$$i$$$-й строки либо «<span class="tex-font-style-tt">X</span>», если соответствующее дерево сгорело, либо «<span class="tex-font-style-tt">.</span>» — если осталось в целости.</p><p>Гарантируется, что карта содержит хотя бы один «<span class="tex-font-style-tt">X</span>».</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите единственное число $$$T$$$ — максимальное время, которое мог гореть лес. В следующих $$$n$$$ строках выведите сертификат: карту (прямоугольник $$$n \times m$$$), на которой подожженные деревья отмечены как «<span class="tex-font-style-tt">X</span>», а оставшиеся как «<span class="tex-font-style-tt">.</span>».</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 XXXXXX XXXXXX XXXXXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 ...... .X.XX. ...... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 10 .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. .......... </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 .......... .......... ...XX..... .......... .......... .......... .....XX... .......... .......... .......... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 5 X.... ..XXX ..XXX ..XXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 X.... ..XXX ..XXX ..XXX </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); 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class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261D1	1261	D1	ru	D1. Неправильный ответ на тесте 233 (упрощенная версия)	<div class="problem-statement"><div class="header"><div class="title">D1. Неправильный ответ на тесте 233 (упрощенная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n \le 2000$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2000$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="dcbc7ecdd736b5a2efcc97c29d32b63b"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D1 - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="638693c2dea00adc4e749e973fa50ecc8d8b67ca"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D1 - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D1" data-uuid="ps_74d1971b6a2da6412d6074547db028826ce4a977"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D1. Неправильный ответ на тесте 233 (упрощенная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n \le 2000$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2000$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D1]"); 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class="legendary-user-first-letter">o</span>rzdevinwang</a></td> <td class=" dark">3697</td> </tr> <tr> <td class="left ">4</td> <td class=""><a href="/profile/Radewoosh" title="Legendary Grandmaster Radewoosh" class="rated-user user-legendary"><span class="legendary-user-first-letter">R</span>adewoosh</a></td> <td class="">3651</td> </tr> <tr> <td class="left dark">5</td> <td class=" dark"><a href="/profile/jiangly" title="Legendary Grandmaster jiangly" class="rated-user user-legendary"><span class="legendary-user-first-letter">j</span>iangly</a></td> <td class=" dark">3632</td> </tr> <tr> <td class="left ">6</td> <td class=""><a href="/profile/cnnfls_csy" title="Legendary Grandmaster cnnfls_csy" class="rated-user user-legendary"><span class="legendary-user-first-letter">c</span>nnfls_csy</a></td> <td class="">3620</td> </tr> <tr> <td class="left dark">7</td> <td class=" dark"><a href="/profile/-0.5" title="Legendary Grandmaster -0.5" class="rated-user user-legendary"><span 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<div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1261" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <script type="text/javascript"> $(document).ready(function () { $(".delete-resource-link-105400-72270").click(function() { var that = this; Codeforces.confirm("Are you sure you want to detach a contest?", function () { $.post("/data/blogAndContest", { action: "detachBlogFromContest", blogId: "105400", blogEntryId: "71740", contestId: $(that).attr("data-contestId"), resourceIds: $(that).attr("data-resourceIds") }, function(json) { Codeforces.reloadAndShowMessageOrShowError(json, "Contest detached"); }); }, function () {}, "Yes", "No"); }); }); </script> <div style="font-size: 1.1rem;line-height: 11px;"> <img style="vertical-align: middle;" src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" /></a> </li> </ul> </div> <span style="position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;"> </span> <div class="right-meta"> <ul> <li> <a href="/profile/mystery"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/user_16x16.png" alt="Author" title="Author" /></a> <a href="/profile/mystery"> mystery </a> </li> <li> <img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/date_16x16.png" alt="Publication date" title="Publication date" /> <span class="format-humantime" title="Nov/26/2019 08:26">4 years ago</span> </li> <li> <a href="/blog/entry/71740#comments"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/comments_16x16.png" alt="Comments" title="Comments" /></a> <a href="/blog/entry/71740#comments"> 60 </a> </li> </ul> </div> <br style="clear:both;"/> </div> <style type="text/css"> .comments .title { float: left; } .comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261D2	1261	D2	ru	D2. Неправильный ответ на тесте 233 (усложненная версия)	<div class="problem-statement"><div class="header"><div class="title">D2. Неправильный ответ на тесте 233 (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2\cdot10^5$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 2 1 1 2 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 16 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="1b8f1728c9a714720d6398e0d5b7fb91"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D2 - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="638693c2dea00adc4e749e973fa50ecc8d8b67ca"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D2 - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D2" data-uuid="ps_8d3aaa01be8e9fad6539f30be92e1d8164edf3f3"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D2. Неправильный ответ на тесте 233 (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2\cdot10^5$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 2 1 1 2 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 16 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D2]"); 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adedalic">adedalic</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261C">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D1" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D1 - Wrong Answer on test 233 (Easy Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D2 - Wrong Answer on test 233 (Hard Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1261" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <script type="text/javascript"> $(document).ready(function () { $(".delete-resource-link-105400-72270").click(function() { var that = this; Codeforces.confirm("Are you sure you want to detach a contest?", function () { $.post("/data/blogAndContest", { action: "detachBlogFromContest", blogId: "105400", blogEntryId: "71740", contestId: $(that).attr("data-contestId"), resourceIds: $(that).attr("data-resourceIds") }, function(json) { Codeforces.reloadAndShowMessageOrShowError(json, "Contest detached"); }); }, function () {}, "Yes", "No"); }); }); </script> <div style="font-size: 1.1rem;line-height: 11px;"> <img style="vertical-align: middle;" src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" /></a> </li> </ul> </div> <span style="position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;"> </span> <div class="right-meta"> <ul> <li> <a href="/profile/mystery"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/user_16x16.png" alt="Author" title="Author" /></a> <a href="/profile/mystery"> mystery </a> </li> <li> <img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/date_16x16.png" alt="Publication date" title="Publication date" /> <span class="format-humantime" title="Nov/26/2019 08:26">4 years ago</span> </li> <li> <a href="/blog/entry/71740#comments"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/comments_16x16.png" alt="Comments" title="Comments" /></a> <a href="/blog/entry/71740#comments"> 60 </a> </li> </ul> </div> <br style="clear:both;"/> </div> <style type="text/css"> .comments .title { float: left; } .comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261E	1261	E	ru	E. Не равны	<div class="problem-statement"><div class="header"><div class="title">E. Не равны</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задан массив целых чисел $$$a_1, a_2, \dots, a_n$$$, где $$$a_i$$$ означает количество блоков на $$$i$$$-й позиции. Гарантируется, что $$$1 \le a_i \le n$$$. </p><p>За одну операцию вы можете выбрать любое подмножество индексов и убрать один блок на каждой позиции в выбранном подмножестве. Вы не можете убрать блок с позиции, на которой уже нет блоков.</p><p>Все подмножества которые вы выбираете должны быть различными (уникальными).</p><p>Вам необходимо удалить все блоки за не более чем $$$n+1$$$ операцию. Можно доказать, что ответ всегда существует.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \le n \le 10^3$$$) — длина данного массива.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le n$$$) — количество блоков на позициях $$$1, 2, \dots, n$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите целое число $$$op$$$ ($$$0 \le op \le n+1$$$).</p><p>В каждой из следующих $$$op$$$ строк выведите бинарную строку $$$s$$$ длины $$$n$$$. Если $$$s_i=$$$'<span class="tex-font-style-tt">0</span>', это означает, что позиция $$$i$$$ не находится в выбранном подмножестве. Иначе, $$$s_i$$$ должно быть равно '<span class="tex-font-style-tt">1</span>', и позиция $$$i$$$ находится в выбранном подмножестве.</p><p>Все строки должны быть различными и $$$a_i$$$ должно быть равно сумме $$$s_i$$$ по всем выбранным бинарным строкам.</p><p>Если есть несколько возможных ответов, вы можете вывести любой.</p><p>Гарантируется, что ответ существует.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 5 5 5 5 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 11111 01111 10111 11011 11101 11110 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 11000 10000 10100 10010 10001 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 4 1 5 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 11111 10111 10101 00111 10100 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере количество блоков уменьшается следующим образом:</p><p>$$$\lbrace 5,5,5,5,5 \rbrace \to \lbrace 4,4,4,4,4 \rbrace \to \lbrace 4,3,3,3,3 \rbrace \to \lbrace 3,3,2,2,2 \rbrace \to \lbrace 2,2,2,1,1 \rbrace \to \lbrace 1,1,1,1,0 \rbrace \to \lbrace 0,0,0,0,0 \rbrace$$$. Можно заметить, что все эти операции отличаются друг от друга.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="6772c10fc956d0f5fec5428af6c94dc5"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="638693c2dea00adc4e749e973fa50ecc8d8b67ca"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_b6f37c1caf537520e927b278dbd4e24d8718a97f"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Не равны</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задан массив целых чисел $$$a_1, a_2, \dots, a_n$$$, где $$$a_i$$$ означает количество блоков на $$$i$$$-й позиции. Гарантируется, что $$$1 \le a_i \le n$$$. </p><p>За одну операцию вы можете выбрать любое подмножество индексов и убрать один блок на каждой позиции в выбранном подмножестве. Вы не можете убрать блок с позиции, на которой уже нет блоков.</p><p>Все подмножества которые вы выбираете должны быть различными (уникальными).</p><p>Вам необходимо удалить все блоки за не более чем $$$n+1$$$ операцию. Можно доказать, что ответ всегда существует.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \le n \le 10^3$$$) — длина данного массива.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le n$$$) — количество блоков на позициях $$$1, 2, \dots, n$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите целое число $$$op$$$ ($$$0 \le op \le n+1$$$).</p><p>В каждой из следующих $$$op$$$ строк выведите бинарную строку $$$s$$$ длины $$$n$$$. Если $$$s_i=$$$'<span class="tex-font-style-tt">0</span>', это означает, что позиция $$$i$$$ не находится в выбранном подмножестве. Иначе, $$$s_i$$$ должно быть равно '<span class="tex-font-style-tt">1</span>', и позиция $$$i$$$ находится в выбранном подмножестве.</p><p>Все строки должны быть различными и $$$a_i$$$ должно быть равно сумме $$$s_i$$$ по всем выбранным бинарным строкам.</p><p>Если есть несколько возможных ответов, вы можете вывести любой.</p><p>Гарантируется, что ответ существует.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 5 5 5 5 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 11111 01111 10111 11011 11101 11110 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 11000 10000 10100 10010 10001 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 4 1 5 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 11111 10111 10101 00111 10100 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере количество блоков уменьшается следующим образом:</p><p>$$$\lbrace 5,5,5,5,5 \rbrace \to \lbrace 4,4,4,4,4 \rbrace \to \lbrace 4,3,3,3,3 \rbrace \to \lbrace 3,3,2,2,2 \rbrace \to \lbrace 2,2,2,1,1 \rbrace \to \lbrace 1,1,1,1,0 \rbrace \to \lbrace 0,0,0,0,0 \rbrace$$$. Можно заметить, что все эти операции отличаются друг от друга.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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class="legendary-user-first-letter">o</span>rzdevinwang</a></td> <td class=" dark">3697</td> </tr> <tr> <td class="left ">4</td> <td class=""><a href="/profile/Radewoosh" title="Legendary Grandmaster Radewoosh" class="rated-user user-legendary"><span class="legendary-user-first-letter">R</span>adewoosh</a></td> <td class="">3651</td> </tr> <tr> <td class="left dark">5</td> <td class=" dark"><a href="/profile/jiangly" title="Legendary Grandmaster jiangly" class="rated-user user-legendary"><span class="legendary-user-first-letter">j</span>iangly</a></td> <td class=" dark">3632</td> </tr> <tr> <td class="left ">6</td> <td class=""><a href="/profile/cnnfls_csy" title="Legendary Grandmaster cnnfls_csy" class="rated-user user-legendary"><span class="legendary-user-first-letter">c</span>nnfls_csy</a></td> <td class="">3620</td> </tr> <tr> <td class="left dark">7</td> <td class=" dark"><a href="/profile/-0.5" title="Legendary Grandmaster -0.5" class="rated-user user-legendary"><span 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<div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1261" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <script type="text/javascript"> $(document).ready(function () { $(".delete-resource-link-105400-72270").click(function() { var that = this; Codeforces.confirm("Are you sure you want to detach a contest?", function () { $.post("/data/blogAndContest", { action: "detachBlogFromContest", blogId: "105400", blogEntryId: "71740", contestId: $(that).attr("data-contestId"), resourceIds: $(that).attr("data-resourceIds") }, function(json) { Codeforces.reloadAndShowMessageOrShowError(json, "Contest detached"); }); }, function () {}, "Yes", "No"); }); }); </script> <div style="font-size: 1.1rem;line-height: 11px;"> <img style="vertical-align: middle;" src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" /></a> </li> </ul> </div> <span style="position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;"> </span> <div class="right-meta"> <ul> <li> <a href="/profile/mystery"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/user_16x16.png" alt="Author" title="Author" /></a> <a href="/profile/mystery"> mystery </a> </li> <li> <img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/date_16x16.png" alt="Publication date" title="Publication date" /> <span class="format-humantime" title="Nov/26/2019 08:26">4 years ago</span> </li> <li> <a href="/blog/entry/71740#comments"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/comments_16x16.png" alt="Comments" title="Comments" /></a> <a href="/blog/entry/71740#comments"> 60 </a> </li> </ul> </div> <br style="clear:both;"/> </div> <style type="text/css"> .comments .title { float: left; } .comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261F	1261	F	ru	F. Xor-множество	<div class="problem-statement"><div class="header"><div class="title">F. Xor-множество</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам заданы два множества: $$$A$$$ и $$$B$$$. Найдите сумму элементов в множестве $$$C = \{x \| x = a \oplus b, a \in A, b \in B\}$$$, по модулю $$$998244353$$$, где $$$\oplus$$$ означает операцию <a href="https://en.wikipedia.org/wiki/Bitwise_operation#XOR">побитовое исключающее ИЛИ</a>. Каждое число должно быть посчитано ровно один раз.</p><p>Например, если $$$A = \{2, 3\}$$$ и $$$B = \{2, 3\}$$$ вы должны учесть число $$$1$$$ только один раз, несмотря на то, что вы можете получить его как $$$3 \oplus 2$$$ и как $$$2 \oplus 3$$$. Таким образом, ответ в этом случае будет равен $$$1 + 0 = 1$$$.</p><p>Будем называть отрезком $$$[l; r]$$$ множество целых чисел вида $$$\{l, l+1, \dots, r\}$$$.</p><p>Множество $$$A$$$ задано объединением $$$n_A$$$ отрезков, множество $$$B$$$ задано объединением $$$n_B$$$ отрезков.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n_A$$$ ($$$1 \le n_A \le 100$$$).</p><p>В $$$i$$$-й из следующих $$$n_A$$$ строк записаны два целых числа $$$l_i$$$ и $$$r_i$$$ ($$$1 \le l_i \le r_i \le 10^{18}$$$), описывающих отрезок значений из множества $$$A$$$.</p><p>Во второй строке записано целое число $$$n_B$$$ ($$$1 \le n_B \le 100$$$).</p><p>В $$$i$$$-й из следующих $$$n_B$$$ строк записаны два целых числа $$$l_j$$$ и $$$r_j$$$ ($$$1 \le l_j \le r_j \le 10^{18}$$$), описывающих отрезок значений из множества $$$B$$$.</p><p>Обратите внимание, что отрезки в описаниях обоих множеств могут пересекаться.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число, сумму элементов в множестве $$$C = \{x \| x = a \oplus b, a \in A, b \in B\}$$$ по модулю $$$998244353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 3 5 5 8 3 1 2 1 9 2 9 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 112 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 1 9 2 2 4 2 10 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 120 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере можно заметить, что множество $$$C = \{0,1,\dots,15\}$$$, что означает, что все числа от $$$0$$$ до $$$15$$$ могут быть представлены в виде $$$a \oplus b$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="e469dd6310be57967475d01154bff09a"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - F - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="638693c2dea00adc4e749e973fa50ecc8d8b67ca"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - F - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_6ddd1fde629168d612bfbbcd37e6d624bf18386d"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Xor-множество</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам заданы два множества: $$$A$$$ и $$$B$$$. Найдите сумму элементов в множестве $$$C = \{x \| x = a \oplus b, a \in A, b \in B\}$$$, по модулю $$$998244353$$$, где $$$\oplus$$$ означает операцию <a href="https://en.wikipedia.org/wiki/Bitwise_operation#XOR">побитовое исключающее ИЛИ</a>. Каждое число должно быть посчитано ровно один раз.</p><p>Например, если $$$A = \{2, 3\}$$$ и $$$B = \{2, 3\}$$$ вы должны учесть число $$$1$$$ только один раз, несмотря на то, что вы можете получить его как $$$3 \oplus 2$$$ и как $$$2 \oplus 3$$$. Таким образом, ответ в этом случае будет равен $$$1 + 0 = 1$$$.</p><p>Будем называть отрезком $$$[l; r]$$$ множество целых чисел вида $$$\{l, l+1, \dots, r\}$$$.</p><p>Множество $$$A$$$ задано объединением $$$n_A$$$ отрезков, множество $$$B$$$ задано объединением $$$n_B$$$ отрезков.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n_A$$$ ($$$1 \le n_A \le 100$$$).</p><p>В $$$i$$$-й из следующих $$$n_A$$$ строк записаны два целых числа $$$l_i$$$ и $$$r_i$$$ ($$$1 \le l_i \le r_i \le 10^{18}$$$), описывающих отрезок значений из множества $$$A$$$.</p><p>Во второй строке записано целое число $$$n_B$$$ ($$$1 \le n_B \le 100$$$).</p><p>В $$$i$$$-й из следующих $$$n_B$$$ строк записаны два целых числа $$$l_j$$$ и $$$r_j$$$ ($$$1 \le l_j \le r_j \le 10^{18}$$$), описывающих отрезок значений из множества $$$B$$$.</p><p>Обратите внимание, что отрезки в описаниях обоих множеств могут пересекаться.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число, сумму элементов в множестве $$$C = \{x \| x = a \oplus b, a \in A, b \in B\}$$$ по модулю $$$998244353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 3 5 5 8 3 1 2 1 9 2 9 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 112 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 1 9 2 2 4 2 10 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 120 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере можно заметить, что множество $$$C = \{0,1,\dots,15\}$$$, что означает, что все числа от $$$0$$$ до $$$15$$$ могут быть представлены в виде $$$a \oplus b$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); 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class="legendary-user-first-letter">o</span>rzdevinwang</a></td> <td class=" dark">3697</td> </tr> <tr> <td class="left ">4</td> <td class=""><a href="/profile/Radewoosh" title="Legendary Grandmaster Radewoosh" class="rated-user user-legendary"><span class="legendary-user-first-letter">R</span>adewoosh</a></td> <td class="">3651</td> </tr> <tr> <td class="left dark">5</td> <td class=" dark"><a href="/profile/jiangly" title="Legendary Grandmaster jiangly" class="rated-user user-legendary"><span class="legendary-user-first-letter">j</span>iangly</a></td> <td class=" dark">3632</td> </tr> <tr> <td class="left ">6</td> <td class=""><a href="/profile/cnnfls_csy" title="Legendary Grandmaster cnnfls_csy" class="rated-user user-legendary"><span class="legendary-user-first-letter">c</span>nnfls_csy</a></td> <td class="">3620</td> </tr> <tr> <td class="left dark">7</td> <td class=" dark"><a href="/profile/-0.5" title="Legendary Grandmaster -0.5" class="rated-user user-legendary"><span 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<div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1261" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <script type="text/javascript"> $(document).ready(function () { $(".delete-resource-link-105400-72270").click(function() { var that = this; Codeforces.confirm("Are you sure you want to detach a contest?", function () { $.post("/data/blogAndContest", { action: "detachBlogFromContest", blogId: "105400", blogEntryId: "71740", contestId: $(that).attr("data-contestId"), resourceIds: $(that).attr("data-resourceIds") }, function(json) { Codeforces.reloadAndShowMessageOrShowError(json, "Contest detached"); }); }, function () {}, "Yes", "No"); }); }); </script> <div style="font-size: 1.1rem;line-height: 11px;"> <img style="vertical-align: middle;" src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" /></a> </li> </ul> </div> <span style="position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;"> </span> <div class="right-meta"> <ul> <li> <a href="/profile/mystery"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/user_16x16.png" alt="Author" title="Author" /></a> <a href="/profile/mystery"> mystery </a> </li> <li> <img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/date_16x16.png" alt="Publication date" title="Publication date" /> <span class="format-humantime" title="Nov/26/2019 08:26">4 years ago</span> </li> <li> <a href="/blog/entry/71740#comments"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/comments_16x16.png" alt="Comments" title="Comments" /></a> <a href="/blog/entry/71740#comments"> 60 </a> </li> </ul> </div> <br style="clear:both;"/> </div> <style type="text/css"> .comments .title { float: left; } .comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262A	1262	A	ru	A. Математическая задача	<div class="problem-statement"><div class="header"><div class="title">A. Математическая задача</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Ваш учитель по математике задал вам следующую задачку:</p><p>Есть $$$n$$$ отрезков на оси (прямой) $$$x$$$, $$$[l_1; r_1], [l_2; r_2], \ldots, [l_n; r_n]$$$. Отрезок $$$[l; r]$$$ включает свои границы, то есть это множество таких $$$x$$$, что $$$l \le x \le r$$$. Длина отрезка $$$[l; r]$$$ равна $$$r - l$$$.</p><p>Два отрезка $$$[a; b]$$$ и $$$[c; d]$$$ имеют общую точку (пересекаются), если найдется такое $$$x$$$, что $$$a \leq x \leq b$$$ и $$$c \leq x \leq d$$$. Например, отрезки $$$[2; 5]$$$ и $$$[3; 10]$$$ имеют общую точку, но отрезки $$$[5; 6]$$$ и $$$[1; 4]$$$ — не имеют.</p><p>Вам требуется добавить один отрезок, который имеет хотя бы одну общую точку с каждым данным отрезком, и имеет как можно меньшую длину. Искомый отрезок может вырождаться в точку (то есть быть отрезком длины ноль). Искомый отрезок может как быть, так и не быть среди заданных $$$n$$$ отрезков.</p><p>Другими словами, вам нужно найти такой отрезок $$$[a; b]$$$, что $$$[a; b]$$$ и $$$[l_i; r_i]$$$ имеют общую точку для всех $$$i$$$, и при этом значение $$$b-a$$$ минимально.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке набора входных данных содержится одно целое число $$$n$$$ ($$$1 \le n \le 10^{5}$$$) — количество отрезков. Следующие $$$n$$$ строк содержат описания отрезков — $$$i$$$-я из них содержит два целых числа $$$l_i,r_i$$$ ($$$1 \le l_i \le r_i \le 10^{9}$$$).</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого из наборов входных данных выведите одно целое число — минимальную длину отрезка, который имеет хотя бы одну общую точку с каждым из данных отрезков.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 4 5 5 9 7 7 5 11 19 4 17 16 16 3 12 14 17 1 1 10 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 4 0 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, можно взять отрезок $$$[5;7]$$$ как ответ. Это самый короткий отрезок, который имеет хотя бы одну общую точку со всеми данными.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="dc15f1ee92605c793b779eee4b504176"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - A - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="817ce9d0e6a6602e349338700f1ca9ed0dac2146"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - A - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_07a68e522f70d179f78dc0558be400514c56c3ce"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Математическая задача</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Ваш учитель по математике задал вам следующую задачку:</p><p>Есть $$$n$$$ отрезков на оси (прямой) $$$x$$$, $$$[l_1; r_1], [l_2; r_2], \ldots, [l_n; r_n]$$$. Отрезок $$$[l; r]$$$ включает свои границы, то есть это множество таких $$$x$$$, что $$$l \le x \le r$$$. Длина отрезка $$$[l; r]$$$ равна $$$r - l$$$.</p><p>Два отрезка $$$[a; b]$$$ и $$$[c; d]$$$ имеют общую точку (пересекаются), если найдется такое $$$x$$$, что $$$a \leq x \leq b$$$ и $$$c \leq x \leq d$$$. Например, отрезки $$$[2; 5]$$$ и $$$[3; 10]$$$ имеют общую точку, но отрезки $$$[5; 6]$$$ и $$$[1; 4]$$$ — не имеют.</p><p>Вам требуется добавить один отрезок, который имеет хотя бы одну общую точку с каждым данным отрезком, и имеет как можно меньшую длину. Искомый отрезок может вырождаться в точку (то есть быть отрезком длины ноль). Искомый отрезок может как быть, так и не быть среди заданных $$$n$$$ отрезков.</p><p>Другими словами, вам нужно найти такой отрезок $$$[a; b]$$$, что $$$[a; b]$$$ и $$$[l_i; r_i]$$$ имеют общую точку для всех $$$i$$$, и при этом значение $$$b-a$$$ минимально.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке набора входных данных содержится одно целое число $$$n$$$ ($$$1 \le n \le 10^{5}$$$) — количество отрезков. Следующие $$$n$$$ строк содержат описания отрезков — $$$i$$$-я из них содержит два целых числа $$$l_i,r_i$$$ ($$$1 \le l_i \le r_i \le 10^{9}$$$).</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого из наборов входных данных выведите одно целое число — минимальную длину отрезка, который имеет хотя бы одну общую точку с каждым из данных отрезков.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 4 5 5 9 7 7 5 11 19 4 17 16 16 3 12 14 17 1 1 10 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 4 0 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, можно взять отрезок $$$[5;7]$$$ как ответ. Это самый короткий отрезок, который имеет хотя бы одну общую точку со всеми данными.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); 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none;"><div class="problemTutorial" problemcode="1261B1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></h5><p>Writer: <a class="rated-user user-admin" href="/profile/MikeMirzayanov" title="Headquarters, MikeMirzayanov">MikeMirzayanov</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261B2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/C" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261C - Arson In Berland Forest</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/BledDest" title="International Grandmaster BledDest">BledDest</a>, <a class="rated-user user-orange" href="/profile/adedalic" title="International Master 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class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1261" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <script type="text/javascript"> $(document).ready(function () { $(".delete-resource-link-105400-72270").click(function() { var that = this; Codeforces.confirm("Are you sure you want to detach a contest?", function () { $.post("/data/blogAndContest", { action: "detachBlogFromContest", blogId: "105400", blogEntryId: "71740", contestId: $(that).attr("data-contestId"), resourceIds: $(that).attr("data-resourceIds") }, function(json) { Codeforces.reloadAndShowMessageOrShowError(json, "Contest detached"); }); }, function () {}, "Yes", "No"); }); }); </script> <div style="font-size: 1.1rem;line-height: 11px;"> <img style="vertical-align: middle;" src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" /></a> </li> </ul> </div> <span style="position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;"> </span> <div class="right-meta"> <ul> <li> <a href="/profile/mystery"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/user_16x16.png" alt="Author" title="Author" /></a> <a href="/profile/mystery"> mystery </a> </li> <li> <img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/date_16x16.png" alt="Publication date" title="Publication date" /> <span class="format-humantime" title="Nov/26/2019 08:26">4 years ago</span> </li> <li> <a href="/blog/entry/71740#comments"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/comments_16x16.png" alt="Comments" title="Comments" /></a> <a href="/blog/entry/71740#comments"> 60 </a> </li> </ul> </div> <br style="clear:both;"/> </div> <style type="text/css"> .comments .title { float: left; } .comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262B	1262	B	ru	B. Коробка	<div class="problem-statement"><div class="header"><div class="title">B. Коробка</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Перестановка</span> $$$p$$$ — это последовательность целых чисел $$$p=[p_1, p_2, \dots, p_n]$$$, которая состоит из $$$n$$$ различных положительных целых чисел от $$$1$$$ до $$$n$$$. Например, следующие последовательности являются перестановками — $$$[3, 4, 1, 2]$$$, $$$[1]$$$, $$$[1, 2]$$$. Следующие последовательности не являются перестановками — $$$[0]$$$, $$$[1, 2, 1]$$$, $$$[2, 3]$$$, $$$[0, 1, 2]$$$.</p><p>Важный ключ спрятан в закрытой коробке, которую вам нужно открыть. Чтобы открыть коробку вам нужно ввести секретный ключ. Секретный ключ это перестановка $$$p$$$ длины $$$n$$$. </p><p>Эту перестановку вы не знаете, вы знаете только массив $$$q$$$ префиксных максимумов этой перестановки. Формально:</p><ul> <li> $$$q_1=p_1$$$, </li><li> $$$q_2=\max(p_1, p_2)$$$, </li><li> $$$q_3=\max(p_1, p_2,p_3)$$$, </li><li> ... </li><li> $$$q_n=\max(p_1, p_2,\dots,p_n)$$$. </li></ul><p>Вы хотите построить любую возможную исходную перестановку, которая согласуется с заданным массивом. Другими словами, найдите любую перестановку, что $$$q$$$ для этой перестановки равен данному массиву.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке описания набора входных данных записано одно целое число $$$n$$$ $$$(1 \le n \le 10^{5})$$$ — количество элементов в перестановке-секретном коде $$$p$$$.</p><p>Во второй строке описания набора входных данных записаны $$$n$$$ целых чисел, $$$q_1, q_2, \dots, q_n$$$ $$$(1 \le q_i \le n)$$$: элементы массива $$$q$$$ для данной перестановки. Гарантируется, что $$$q_i \le q_{i+1}$$$ для всех $$$i$$$ ($$$1 \le i < n$$$).</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого набора входных данных выведите:</p><ul> <li> Если невозможно найти подходящую перестановку $$$p$$$, выведите «<span class="tex-font-style-tt">-1</span>» (без кавычек). </li><li> Иначе, выведите $$$n$$$ различных целых чисел, $$$p_1, p_2, \dots, p_n$$$ ($$$1 \le p_i \le n$$$). Если для набора входных данных есть несколько возможных ответов, вы можете вывести любой. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 5 1 3 4 5 5 4 1 1 3 4 2 2 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 3 4 5 2 -1 2 1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных примера $$$[1,3,4,5,2]$$$ это единственный возможный ответ.</p><ul> <li> $$$q_{1} = p_{1} = 1$$$; </li><li> $$$q_{2} = \max(p_{1}, p_{2}) = 3$$$; </li><li> $$$q_{3} = \max(p_{1}, p_{2}, p_{3}) = 4$$$; </li><li> $$$q_{4} = \max(p_{1}, p_{2}, p_{3}, p_{4}) = 5$$$; </li><li> $$$q_{5} = \max(p_{1}, p_{2}, p_{3}, p_{4}, p_{5}) = 5$$$. </li></ul><p>Можно доказать, что для второго набора входных данных примера не существует ответа.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="3d57a0e6130d4b4ed00227ab742bf886"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="817ce9d0e6a6602e349338700f1ca9ed0dac2146"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_763d601a917644c0a0ebe6c71d2d58b3848394b6"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Коробка</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Перестановка</span> $$$p$$$ — это последовательность целых чисел $$$p=[p_1, p_2, \dots, p_n]$$$, которая состоит из $$$n$$$ различных положительных целых чисел от $$$1$$$ до $$$n$$$. Например, следующие последовательности являются перестановками — $$$[3, 4, 1, 2]$$$, $$$[1]$$$, $$$[1, 2]$$$. Следующие последовательности не являются перестановками — $$$[0]$$$, $$$[1, 2, 1]$$$, $$$[2, 3]$$$, $$$[0, 1, 2]$$$.</p><p>Важный ключ спрятан в закрытой коробке, которую вам нужно открыть. Чтобы открыть коробку вам нужно ввести секретный ключ. Секретный ключ это перестановка $$$p$$$ длины $$$n$$$. </p><p>Эту перестановку вы не знаете, вы знаете только массив $$$q$$$ префиксных максимумов этой перестановки. Формально:</p><ul> <li> $$$q_1=p_1$$$, </li><li> $$$q_2=\max(p_1, p_2)$$$, </li><li> $$$q_3=\max(p_1, p_2,p_3)$$$, </li><li> ... </li><li> $$$q_n=\max(p_1, p_2,\dots,p_n)$$$. </li></ul><p>Вы хотите построить любую возможную исходную перестановку, которая согласуется с заданным массивом. Другими словами, найдите любую перестановку, что $$$q$$$ для этой перестановки равен данному массиву.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке описания набора входных данных записано одно целое число $$$n$$$ $$$(1 \le n \le 10^{5})$$$ — количество элементов в перестановке-секретном коде $$$p$$$.</p><p>Во второй строке описания набора входных данных записаны $$$n$$$ целых чисел, $$$q_1, q_2, \dots, q_n$$$ $$$(1 \le q_i \le n)$$$: элементы массива $$$q$$$ для данной перестановки. Гарантируется, что $$$q_i \le q_{i+1}$$$ для всех $$$i$$$ ($$$1 \le i < n$$$).</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого набора входных данных выведите:</p><ul> <li> Если невозможно найти подходящую перестановку $$$p$$$, выведите «<span class="tex-font-style-tt">-1</span>» (без кавычек). </li><li> Иначе, выведите $$$n$$$ различных целых чисел, $$$p_1, p_2, \dots, p_n$$$ ($$$1 \le p_i \le n$$$). Если для набора входных данных есть несколько возможных ответов, вы можете вывести любой. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 5 1 3 4 5 5 4 1 1 3 4 2 2 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 3 4 5 2 -1 2 1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных примера $$$[1,3,4,5,2]$$$ это единственный возможный ответ.</p><ul> <li> $$$q_{1} = p_{1} = 1$$$; </li><li> $$$q_{2} = \max(p_{1}, p_{2}) = 3$$$; </li><li> $$$q_{3} = \max(p_{1}, p_{2}, p_{3}) = 4$$$; </li><li> $$$q_{4} = \max(p_{1}, p_{2}, p_{3}, p_{4}) = 5$$$; </li><li> $$$q_{5} = \max(p_{1}, p_{2}, p_{3}, p_{4}, p_{5}) = 5$$$. </li></ul><p>Можно доказать, что для второго набора входных данных примера не существует ответа.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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none;"><div class="problemTutorial" problemcode="1261B1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></h5><p>Writer: <a class="rated-user user-admin" href="/profile/MikeMirzayanov" title="Headquarters, MikeMirzayanov">MikeMirzayanov</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261B2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/C" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261C - Arson In Berland Forest</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/BledDest" title="International Grandmaster BledDest">BledDest</a>, <a class="rated-user user-orange" href="/profile/adedalic" title="International Master 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class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1261" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <script type="text/javascript"> $(document).ready(function () { $(".delete-resource-link-105400-72270").click(function() { var that = this; Codeforces.confirm("Are you sure you want to detach a contest?", function () { $.post("/data/blogAndContest", { action: "detachBlogFromContest", blogId: "105400", blogEntryId: "71740", contestId: $(that).attr("data-contestId"), resourceIds: $(that).attr("data-resourceIds") }, function(json) { Codeforces.reloadAndShowMessageOrShowError(json, "Contest detached"); }); }, function () {}, "Yes", "No"); }); }); </script> <div style="font-size: 1.1rem;line-height: 11px;"> <img style="vertical-align: middle;" src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" /></a> </li> </ul> </div> <span style="position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;"> </span> <div class="right-meta"> <ul> <li> <a href="/profile/mystery"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/user_16x16.png" alt="Author" title="Author" /></a> <a href="/profile/mystery"> mystery </a> </li> <li> <img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/date_16x16.png" alt="Publication date" title="Publication date" /> <span class="format-humantime" title="Nov/26/2019 08:26">4 years ago</span> </li> <li> <a href="/blog/entry/71740#comments"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/comments_16x16.png" alt="Comments" title="Comments" /></a> <a href="/blog/entry/71740#comments"> 60 </a> </li> </ul> </div> <br style="clear:both;"/> </div> <style type="text/css"> .comments .title { float: left; } .comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262C	1262	C	ru	C. Грязно	<div class="problem-statement"><div class="header"><div class="title">C. Грязно</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вы устали от своей грязной комнаты, поэтому вы решили в ней прибраться.</p><p>Ваша комната это скобочная последовательность $$$s=s_{1}s_{2}\dots s_{n}$$$ длины $$$n$$$. Каждый символ этой строки это либо открывающая круглая скобка '<span class="tex-font-style-tt">(</span>', либо закрывающая круглая скобка '<span class="tex-font-style-tt">)</span>'.</p><p>За одну операцию вы можете выбрать любую подстроку строки $$$s$$$ и перевернуть ее. Формально, за одну операцию вы можете выбрать подстроку $$$s[l \dots r]=s_l, s_{l+1}, \dots, s_r$$$ и поменять порядок элементов в ней на $$$s_r, s_{r-1}, \dots, s_{l}$$$.</p><p>Например, если вы захотите перевернуть подстроку $$$s[2 \dots 4]$$$ строки $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">(()</span>))</span>», она станет равна $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">)((</span>))</span>».</p><p><span class="tex-font-style-bf">Правильной</span> скобочной последовательностью называется скобочная последовательность, которую можно преобразовать в корректное арифметическое выражение путем вставок между ее символами символов '<span class="tex-font-style-tt">1</span>' и '<span class="tex-font-style-tt">+</span>'. Например, скобочные последовательности «<span class="tex-font-style-tt">()()</span>», «<span class="tex-font-style-tt">(())</span>» — правильные (полученные выражения: «<span class="tex-font-style-tt">(1)+(1)</span>», «<span class="tex-font-style-tt">((1+1)+1)</span>»), а «<span class="tex-font-style-tt">)(</span>» и «<span class="tex-font-style-tt">(</span>» — нет.</p><p>Префиксом строки $$$s$$$ называется её подстрока, которая начинается с индекса $$$1$$$. Например, для строки $$$s=$$$«<span class="tex-font-style-tt">(())()</span>» есть $$$6$$$ префиксов: «<span class="tex-font-style-tt">(</span>», «<span class="tex-font-style-tt">((</span>», «<span class="tex-font-style-tt">(()</span>», «<span class="tex-font-style-tt">(())</span>», «<span class="tex-font-style-tt">(())(</span>» и «<span class="tex-font-style-tt">(())()</span>».</p><p>По вашему мнению, красивая и чистая комната $$$s$$$ — это такая, что:</p><ul> <li> вся строка $$$s$$$ целиком является <span class="tex-font-style-it">правильной скобочной</span>; </li><li> <span class="tex-font-style-bf">и</span> ровно $$$k$$$ ее префиксов(включая всю строку $$$s$$$) являются правильными скобочными. </li></ul><p>Например, если $$$k = 2$$$, то «<span class="tex-font-style-tt">(())()</span>» это красивая и чистая комната.</p><p>Вы хотите использовать не более $$$n$$$ операций, чтобы сделать вашу комнату красивой и чистой. Операции применяются последовательно, одна за другой.</p><p>Гарантируется, что ответ существует. Обратите внимание, что вам <span class="tex-font-style-bf">не нужно</span> минимизировать количество операций — найдите любой способ достичь требуемой конфигурации за $$$n$$$ или менее операций.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке записаны два целых числа $$$n$$$ и $$$k$$$ ($$$1 \le k \le \frac{n}{2}, 2 \le n \le 2000$$$, $$$n$$$ четно) — длина $$$s$$$ и необходимое количество правильных префиксов.</p><p>Во второй строке записана $$$s$$$ длины $$$n$$$ — данная скобочная последовательность. Все символы строки равны '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'.</p><p>Гарантируется, что в данной строке ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">(</span>' и ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">)</span>'.</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого из наборов входных данных выведите ответ.</p><p>В первой строке выведите число $$$m$$$ ($$$0 \le m \le n$$$) — количество операций. Вам <span class="tex-font-style-bf">не требуется</span> минимизировать $$$m$$$, это число может быть любым.</p><p>В следующих $$$m$$$ строках выведите описания операций, каждая строка должна содержать два целых числа $$$l,r$$$ ($$$1 \le l \le r \le n$$$), описывающих операцию переворота подстроки $$$s[l \dots r]=s_{l}s_{l+1}\dots s_{r}$$$. Операции выполняются последовательно одна за другой.</p><p>Итоговая строка $$$s$$$ после применения всех операций должна быть правильной, ровно $$$k$$$ её префиксов (включая $$$s$$$) должны быть правильными.</p><p>Гарантируется, что ответ существует. Если есть несколько возможных ответов, вы можете вывести любой.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 8 2 ()(())() 10 3 ))()()()(( 2 1 () 2 1 )( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 4 1 1 5 8 2 2 3 4 10 1 4 6 7 0 1 1 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере итоговая последовательность — это «<span class="tex-font-style-tt">()(()())</span>», в которой два префикса корректные, «<span class="tex-font-style-tt">()</span>» и «<span class="tex-font-style-tt">()(()())</span>». Обратите внимание, что все операции кроме «<span class="tex-font-style-tt">5 8</span>» в примере вывода не меняют текущую строку $$$s$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="46fb820fd2dbf866feb830fbfbad72ac"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - C - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="817ce9d0e6a6602e349338700f1ca9ed0dac2146"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - C - Codeforces</title> <meta name="description" content="Codeforces. 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Просто зарегистрируйтесь на дорешивание. </div> <div style="text-align:center;margin:1em;"> <form action="" method="post"><input type='hidden' name='csrf_token' value='46fb820fd2dbf866feb830fbfbad72ac'/> <input type="hidden" name="action" value="registerForPractice"/> <input type="submit" name="submit" value="Зарегистрироваться" style="padding:0 0.5em;"> </form> </div> </div> </div> <div class="roundbox sidebox ContestVirtualFrame borderTopRound " style=""> <div class="caption titled">→ Виртуальное участие <i class="sidebar-caption-icon las la-angle-down"></i> <div class="top-links"> </div> </div> <div style=" " data-page-url="/data/sidebarFrames" > <div style="margin:1em;font-size:0.8em;"> Виртуальное соревнование – это способ прорешать прошедшее соревнование в режиме, максимально близком к участию во время его проведения. Поддерживается только ICPC режим для виртуальных соревнований. Если вы раньше видели эти задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1700 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='46fb820fd2dbf866feb830fbfbad72ac'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="479739"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='46fb820fd2dbf866feb830fbfbad72ac'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="479739"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_5fd30a1e1aa81727c42a187aca919ff61f32928e"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Грязно</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вы устали от своей грязной комнаты, поэтому вы решили в ней прибраться.</p><p>Ваша комната это скобочная последовательность $$$s=s_{1}s_{2}\dots s_{n}$$$ длины $$$n$$$. Каждый символ этой строки это либо открывающая круглая скобка '<span class="tex-font-style-tt">(</span>', либо закрывающая круглая скобка '<span class="tex-font-style-tt">)</span>'.</p><p>За одну операцию вы можете выбрать любую подстроку строки $$$s$$$ и перевернуть ее. Формально, за одну операцию вы можете выбрать подстроку $$$s[l \dots r]=s_l, s_{l+1}, \dots, s_r$$$ и поменять порядок элементов в ней на $$$s_r, s_{r-1}, \dots, s_{l}$$$.</p><p>Например, если вы захотите перевернуть подстроку $$$s[2 \dots 4]$$$ строки $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">(()</span>))</span>», она станет равна $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">)((</span>))</span>».</p><p><span class="tex-font-style-bf">Правильной</span> скобочной последовательностью называется скобочная последовательность, которую можно преобразовать в корректное арифметическое выражение путем вставок между ее символами символов '<span class="tex-font-style-tt">1</span>' и '<span class="tex-font-style-tt">+</span>'. Например, скобочные последовательности «<span class="tex-font-style-tt">()()</span>», «<span class="tex-font-style-tt">(())</span>» — правильные (полученные выражения: «<span class="tex-font-style-tt">(1)+(1)</span>», «<span class="tex-font-style-tt">((1+1)+1)</span>»), а «<span class="tex-font-style-tt">)(</span>» и «<span class="tex-font-style-tt">(</span>» — нет.</p><p>Префиксом строки $$$s$$$ называется её подстрока, которая начинается с индекса $$$1$$$. Например, для строки $$$s=$$$«<span class="tex-font-style-tt">(())()</span>» есть $$$6$$$ префиксов: «<span class="tex-font-style-tt">(</span>», «<span class="tex-font-style-tt">((</span>», «<span class="tex-font-style-tt">(()</span>», «<span class="tex-font-style-tt">(())</span>», «<span class="tex-font-style-tt">(())(</span>» и «<span class="tex-font-style-tt">(())()</span>».</p><p>По вашему мнению, красивая и чистая комната $$$s$$$ — это такая, что:</p><ul> <li> вся строка $$$s$$$ целиком является <span class="tex-font-style-it">правильной скобочной</span>; </li><li> <span class="tex-font-style-bf">и</span> ровно $$$k$$$ ее префиксов(включая всю строку $$$s$$$) являются правильными скобочными. </li></ul><p>Например, если $$$k = 2$$$, то «<span class="tex-font-style-tt">(())()</span>» это красивая и чистая комната.</p><p>Вы хотите использовать не более $$$n$$$ операций, чтобы сделать вашу комнату красивой и чистой. Операции применяются последовательно, одна за другой.</p><p>Гарантируется, что ответ существует. Обратите внимание, что вам <span class="tex-font-style-bf">не нужно</span> минимизировать количество операций — найдите любой способ достичь требуемой конфигурации за $$$n$$$ или менее операций.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке записаны два целых числа $$$n$$$ и $$$k$$$ ($$$1 \le k \le \frac{n}{2}, 2 \le n \le 2000$$$, $$$n$$$ четно) — длина $$$s$$$ и необходимое количество правильных префиксов.</p><p>Во второй строке записана $$$s$$$ длины $$$n$$$ — данная скобочная последовательность. Все символы строки равны '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'.</p><p>Гарантируется, что в данной строке ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">(</span>' и ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">)</span>'.</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого из наборов входных данных выведите ответ.</p><p>В первой строке выведите число $$$m$$$ ($$$0 \le m \le n$$$) — количество операций. Вам <span class="tex-font-style-bf">не требуется</span> минимизировать $$$m$$$, это число может быть любым.</p><p>В следующих $$$m$$$ строках выведите описания операций, каждая строка должна содержать два целых числа $$$l,r$$$ ($$$1 \le l \le r \le n$$$), описывающих операцию переворота подстроки $$$s[l \dots r]=s_{l}s_{l+1}\dots s_{r}$$$. Операции выполняются последовательно одна за другой.</p><p>Итоговая строка $$$s$$$ после применения всех операций должна быть правильной, ровно $$$k$$$ её префиксов (включая $$$s$$$) должны быть правильными.</p><p>Гарантируется, что ответ существует. Если есть несколько возможных ответов, вы можете вывести любой.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 8 2 ()(())() 10 3 ))()()()(( 2 1 () 2 1 )( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 4 1 1 5 8 2 2 3 4 10 1 4 6 7 0 1 1 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере итоговая последовательность — это «<span class="tex-font-style-tt">()(()())</span>», в которой два префикса корректные, «<span class="tex-font-style-tt">()</span>» и «<span class="tex-font-style-tt">()(()())</span>». Обратите внимание, что все операции кроме «<span class="tex-font-style-tt">5 8</span>» в примере вывода не меняют текущую строку $$$s$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262D1	1262	D1	ru	D1. Оптимальные подпоследовательности (упрощённая версия)	<div class="problem-statement"><div class="header"><div class="title">D1. Оптимальные подпоследовательности (упрощённая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n, m \le 100$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 100$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 100$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="7fc781d7d7fb414468153e958eda5866"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D1 - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="817ce9d0e6a6602e349338700f1ca9ed0dac2146"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D1 - Codeforces</title> <meta name="description" content="Codeforces. 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D1" data-uuid="ps_6df44bfabf4e188a0f4c10cf6379d8146a49fa11"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D1. Оптимальные подпоследовательности (упрощённая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n, m \le 100$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 100$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 100$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D1]"); 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none;"><div class="problemTutorial" problemcode="1261B1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></h5><p>Writer: <a class="rated-user user-admin" href="/profile/MikeMirzayanov" title="Headquarters, MikeMirzayanov">MikeMirzayanov</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261B2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/C" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261C - Arson In Berland Forest</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/BledDest" title="International Grandmaster BledDest">BledDest</a>, <a class="rated-user user-orange" href="/profile/adedalic" title="International Master 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class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1261" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <script type="text/javascript"> $(document).ready(function () { $(".delete-resource-link-105400-72270").click(function() { var that = this; Codeforces.confirm("Are you sure you want to detach a contest?", function () { $.post("/data/blogAndContest", { action: "detachBlogFromContest", blogId: "105400", blogEntryId: "71740", contestId: $(that).attr("data-contestId"), resourceIds: $(that).attr("data-resourceIds") }, function(json) { Codeforces.reloadAndShowMessageOrShowError(json, "Contest detached"); }); }, function () {}, "Yes", "No"); }); }); </script> <div style="font-size: 1.1rem;line-height: 11px;"> <img style="vertical-align: middle;" src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" /></a> </li> </ul> </div> <span style="position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;"> </span> <div class="right-meta"> <ul> <li> <a href="/profile/mystery"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/user_16x16.png" alt="Author" title="Author" /></a> <a href="/profile/mystery"> mystery </a> </li> <li> <img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/date_16x16.png" alt="Publication date" title="Publication date" /> <span class="format-humantime" title="Nov/26/2019 08:26">4 years ago</span> </li> <li> <a href="/blog/entry/71740#comments"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/comments_16x16.png" alt="Comments" title="Comments" /></a> <a href="/blog/entry/71740#comments"> 60 </a> </li> </ul> </div> <br style="clear:both;"/> </div> <style type="text/css"> .comments .title { float: left; } .comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262D2	1262	D2	ru	D2. Оптимальные подпоследовательности (усложненная версия)	<div class="problem-statement"><div class="header"><div class="title">D2. Оптимальные подпоследовательности (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n, m \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 2\cdot10^5$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="562e0fc4193805a1e33b81c17010b669"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D2 - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="817ce9d0e6a6602e349338700f1ca9ed0dac2146"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D2 - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D2" data-uuid="ps_16cd68beb696e72f5f654f2f80811fe07e63a86e"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D2. Оптимальные подпоследовательности (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n, m \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 2\cdot10^5$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D2]"); 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262E	1262	E	ru	E. Поджог в лесу Берляндии	<div class="problem-statement"><div class="header"><div class="title">E. Поджог в лесу Берляндии</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Представим лес Берляндии как бесконечное клеточное поле. В каждой клетке растет дерево. Или росло, до недавних событий.</p><p>Разрушительный огонь бушевал в лесу и уничтожил несколько деревьев. У вас есть прямоугольная карта $$$n \times m$$$, которая описывает поврежденную часть леса. Сожженные деревья отмечены на карте как «<span class="tex-font-style-tt">X</span>», в то время как остальные отмечены как «<span class="tex-font-style-tt">.</span>». <span class="tex-font-style-bf">Вы можете быть уверены, что все поврежденные деревья отмечены на карте. Все деревья за пределами карты — не повреждены.</span></p><p>Пожарные быстро потушили огонь, и теперь расследуют данный инцидент. Основная версия — это поджог: в какой-то момент времени (примем этот момент за $$$0$$$) несколько деревьев были подожжены. В начале минуты $$$0$$$ горели только подожженные деревья. В конце каждой минуты огонь распространяется от горящего дерева к $$$8$$$ соседним к нему деревьям. В начале минуты $$$T$$$ огонь был потушен.</p><p>Пожарные хотят найти поджигателей так быстро как это возможно. Но проблема в том, что они не знают ни значение $$$T$$$ (как долго бушевал пожар), ни местоположение деревьев, которые были подожжены. Они хотят, чтобы вы определили максимальное значение $$$T$$$ (чтобы узнать, сколько времени в запасе у поджигателей) и возможное множество деревьев, которые были подожжены.</p><p>Заметим, что вы хотите максимизировать значение $$$T$$$, но множество деревьев может быть произвольным.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке заданы два целых числа $$$n$$$ и $$$m$$$ ($$$1 \le n, m \le 10^6$$$, $$$1 \le n \cdot m \le 10^6$$$) — размеры карты.</p><p>В следующих $$$n$$$ строках задана карта. Строка $$$i$$$ соответствует $$$i$$$-й строке карты и содержит строку из $$$m$$$ символов. $$$j$$$-й символ $$$i$$$-й строки либо «<span class="tex-font-style-tt">X</span>», если соответствующее дерево сгорело, либо «<span class="tex-font-style-tt">.</span>» — если осталось в целости.</p><p>Гарантируется, что карта содержит хотя бы один «<span class="tex-font-style-tt">X</span>».</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите единственное число $$$T$$$ — максимальное время, которое мог гореть лес. В следующих $$$n$$$ строках выведите сертификат: карту (прямоугольник $$$n \times m$$$), на которой подожженные деревья отмечены как «<span class="tex-font-style-tt">X</span>», а оставшиеся как «<span class="tex-font-style-tt">.</span>».</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 XXXXXX XXXXXX XXXXXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 ...... .X.XX. ...... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 10 .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. .......... </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 .......... .......... ...XX..... .......... .......... .......... .....XX... .......... .......... .......... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 5 X.... ..XXX ..XXX ..XXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 X.... ..XXX ..XXX ..XXX </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="bb2734632af383464ea22a4bb842413d"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="817ce9d0e6a6602e349338700f1ca9ed0dac2146"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1262/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); params[key] = value; } }); $.post(dataPageUrl, params, function (result) { if (result["success"] !== "true") { Codeforces.showMessage("Не удалось сохранить состояние блока."); } }, "json"); return false; }); }) </script> </div> <div class="roundbox sidebox borderTopRound " style=""> <div class="caption titled">→ Теги задачи <div class="top-links"> </div> </div> <div style="padding: 0.5em;"> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Бинарный поиск"> бинарный поиск </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Графы"> графы </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Кратчайшие пути на графах"> кратчайшие пути </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Кучи, деревья отрезков, деревья поиска и др."> структуры данных </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 2200 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='bb2734632af383464ea22a4bb842413d'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="479742"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='bb2734632af383464ea22a4bb842413d'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="479742"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_00bbf2e77af0cf2971bb31446556a34c67b02f53"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Поджог в лесу Берляндии</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Представим лес Берляндии как бесконечное клеточное поле. В каждой клетке растет дерево. Или росло, до недавних событий.</p><p>Разрушительный огонь бушевал в лесу и уничтожил несколько деревьев. У вас есть прямоугольная карта $$$n \times m$$$, которая описывает поврежденную часть леса. Сожженные деревья отмечены на карте как «<span class="tex-font-style-tt">X</span>», в то время как остальные отмечены как «<span class="tex-font-style-tt">.</span>». <span class="tex-font-style-bf">Вы можете быть уверены, что все поврежденные деревья отмечены на карте. Все деревья за пределами карты — не повреждены.</span></p><p>Пожарные быстро потушили огонь, и теперь расследуют данный инцидент. Основная версия — это поджог: в какой-то момент времени (примем этот момент за $$$0$$$) несколько деревьев были подожжены. В начале минуты $$$0$$$ горели только подожженные деревья. В конце каждой минуты огонь распространяется от горящего дерева к $$$8$$$ соседним к нему деревьям. В начале минуты $$$T$$$ огонь был потушен.</p><p>Пожарные хотят найти поджигателей так быстро как это возможно. Но проблема в том, что они не знают ни значение $$$T$$$ (как долго бушевал пожар), ни местоположение деревьев, которые были подожжены. Они хотят, чтобы вы определили максимальное значение $$$T$$$ (чтобы узнать, сколько времени в запасе у поджигателей) и возможное множество деревьев, которые были подожжены.</p><p>Заметим, что вы хотите максимизировать значение $$$T$$$, но множество деревьев может быть произвольным.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке заданы два целых числа $$$n$$$ и $$$m$$$ ($$$1 \le n, m \le 10^6$$$, $$$1 \le n \cdot m \le 10^6$$$) — размеры карты.</p><p>В следующих $$$n$$$ строках задана карта. Строка $$$i$$$ соответствует $$$i$$$-й строке карты и содержит строку из $$$m$$$ символов. $$$j$$$-й символ $$$i$$$-й строки либо «<span class="tex-font-style-tt">X</span>», если соответствующее дерево сгорело, либо «<span class="tex-font-style-tt">.</span>» — если осталось в целости.</p><p>Гарантируется, что карта содержит хотя бы один «<span class="tex-font-style-tt">X</span>».</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите единственное число $$$T$$$ — максимальное время, которое мог гореть лес. В следующих $$$n$$$ строках выведите сертификат: карту (прямоугольник $$$n \times m$$$), на которой подожженные деревья отмечены как «<span class="tex-font-style-tt">X</span>», а оставшиеся как «<span class="tex-font-style-tt">.</span>».</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 XXXXXX XXXXXX XXXXXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 ...... .X.XX. ...... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 10 .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. .......... </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 .......... .......... ...XX..... .......... .......... .......... .....XX... .......... .......... .......... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 5 X.... ..XXX ..XXX ..XXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 X.... ..XXX ..XXX ..XXX </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262F1	1262	F1	ru	F1. Неправильный ответ на тесте 233 (упрощенная версия)	<div class="problem-statement"><div class="header"><div class="title">F1. Неправильный ответ на тесте 233 (упрощенная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n \le 2000$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2000$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="856cf3f513c3bfb314ad557196a831da"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - F1 - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="817ce9d0e6a6602e349338700f1ca9ed0dac2146"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - F1 - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F1" data-uuid="ps_ccbb9d2dd694ffcf1277a36e20c063ad5ecca4da"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F1. Неправильный ответ на тесте 233 (упрощенная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n \le 2000$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2000$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F1]"); 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class="legendary-user-first-letter">o</span>rzdevinwang</a></td> <td class=" dark">3697</td> </tr> <tr> <td class="left ">4</td> <td class=""><a href="/profile/Radewoosh" title="Legendary Grandmaster Radewoosh" class="rated-user user-legendary"><span class="legendary-user-first-letter">R</span>adewoosh</a></td> <td class="">3651</td> </tr> <tr> <td class="left dark">5</td> <td class=" dark"><a href="/profile/jiangly" title="Legendary Grandmaster jiangly" class="rated-user user-legendary"><span class="legendary-user-first-letter">j</span>iangly</a></td> <td class=" dark">3632</td> </tr> <tr> <td class="left ">6</td> <td class=""><a href="/profile/cnnfls_csy" title="Legendary Grandmaster cnnfls_csy" class="rated-user user-legendary"><span class="legendary-user-first-letter">c</span>nnfls_csy</a></td> <td class="">3620</td> </tr> <tr> <td class="left dark">7</td> <td class=" dark"><a href="/profile/-0.5" title="Legendary Grandmaster -0.5" class="rated-user user-legendary"><span class="legendary-user-first-letter">-</span>0.5</a></td> <td class=" dark">3545</td> </tr> <tr> <td class="left ">8</td> <td class=""><a href="/profile/inaFSTream" title="Legendary Grandmaster inaFSTream" class="rated-user user-legendary"><span class="legendary-user-first-letter">i</span>naFSTream</a></td> <td class="">3478</td> </tr> <tr> <td class="left dark">9</td> <td class=" dark"><a href="/profile/fantasy" title="Legendary Grandmaster fantasy" class="rated-user user-legendary"><span class="legendary-user-first-letter">f</span>antasy</a></td> <td class=" dark">3468</td> </tr> <tr> <td class="left bottom">10</td> <td class="bottom"><a href="/profile/Rebelz" title="Legendary Grandmaster Rebelz" class="rated-user user-legendary"><span class="legendary-user-first-letter">R</span>ebelz</a></td> <td class="bottom">3415</td> </tr> </tbody> </table> <div class="bottom-links"> <table style="width:100%;"> <tbody> <tr> <td style="text-align:left;"> <a href="/ratings/countries">Countries</a> \| <a href="/ratings/cities">Cities</a> \| <a href="/ratings/organizations">Organizations</a> </td> <td style="text-align:right;"> <a href="/ratings">View all →</a> </td> </tr> </tbody> </table> </div> </div><div class="roundbox sidebox top-contributed borderTopRound " style=""> <div class="caption titled">→ Top contributors <div class="top-links"> </div> </div> <table class="rtable "> <tbody> <tr> <th class="left" style="width:2.25em;">#</th> <th class="">User</th> <th class="" style="width:5em;">Contrib.</th> </tr> <tr> <td class="left dark">1</td> <td class=" dark"><a href="/profile/adamant" title="Grandmaster adamant" class="rated-user user-red">adamant</a></td> <td class=" dark">178</td> </tr> <tr> <td class="left ">2</td> <td class=""><a href="/profile/awoo" title="Master awoo" class="rated-user user-orange">awoo</a></td> <td class="">167</td> </tr> <tr> <td class="left dark">3</td> <td class=" dark"><a href="/profile/BledDest" title="International Grandmaster BledDest" class="rated-user user-red">BledDest</a></td> <td class=" dark">165</td> </tr> <tr> <td class="left ">4</td> <td class=""><a href="/profile/Um_nik" title="Legendary Grandmaster Um_nik" class="rated-user user-legendary"><span class="legendary-user-first-letter">U</span>m_nik</a></td> <td class="">163</td> </tr> <tr> <td class="left dark">5</td> <td class=" dark"><a href="/profile/maroonrk" title="Legendary Grandmaster maroonrk" class="rated-user user-legendary"><span class="legendary-user-first-letter">m</span>aroonrk</a></td> <td class=" dark">162</td> </tr> <tr> <td class="left ">6</td> <td class=""><a href="/profile/SecondThread" title="Master SecondThread" class="rated-user user-orange">SecondThread</a></td> <td class="">160</td> </tr> <tr> <td class="left dark">7</td> <td class=" dark"><a href="/profile/nor" title="Master nor" class="rated-user user-orange">nor</a></td> <td class=" dark">158</td> </tr> <tr> <td class="left ">8</td> <td class=""><a href="/profile/-is-this-fft-" 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class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262F2	1262	F2	ru	F2. Неправильный ответ на тесте 233 (усложненная версия)	<div class="problem-statement"><div class="header"><div class="title">F2. Неправильный ответ на тесте 233 (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2\cdot10^5$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 2 1 1 2 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 16 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="f6d2ca9f2aac12dfe45ea4cbc45d1bd4"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - F2 - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="817ce9d0e6a6602e349338700f1ca9ed0dac2146"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - F2 - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F2" data-uuid="ps_c134bc4c351acc34eac4e0048723a911d0d419dc"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F2. Неправильный ответ на тесте 233 (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2\cdot10^5$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 2 1 1 2 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 16 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F2]"); 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none;"><div class="problemTutorial" problemcode="1261B1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></h5><p>Writer: <a class="rated-user user-admin" href="/profile/MikeMirzayanov" title="Headquarters, MikeMirzayanov">MikeMirzayanov</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261B2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/C" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261C - Arson In Berland Forest</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/BledDest" title="International Grandmaster BledDest">BledDest</a>, <a class="rated-user user-orange" href="/profile/adedalic" title="International Master 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class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1261" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <script type="text/javascript"> $(document).ready(function () { $(".delete-resource-link-105400-72270").click(function() { var that = this; Codeforces.confirm("Are you sure you want to detach a contest?", function () { $.post("/data/blogAndContest", { action: "detachBlogFromContest", blogId: "105400", blogEntryId: "71740", contestId: $(that).attr("data-contestId"), resourceIds: $(that).attr("data-resourceIds") }, function(json) { Codeforces.reloadAndShowMessageOrShowError(json, "Contest detached"); }); }, function () {}, "Yes", "No"); }); }); </script> <div style="font-size: 1.1rem;line-height: 11px;"> <img style="vertical-align: middle;" src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" /></a> </li> </ul> </div> <span style="position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;"> </span> <div class="right-meta"> <ul> <li> <a href="/profile/mystery"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/user_16x16.png" alt="Author" title="Author" /></a> <a href="/profile/mystery"> mystery </a> </li> <li> <img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/date_16x16.png" alt="Publication date" title="Publication date" /> <span class="format-humantime" title="Nov/26/2019 08:26">4 years ago</span> </li> <li> <a href="/blog/entry/71740#comments"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/comments_16x16.png" alt="Comments" title="Comments" /></a> <a href="/blog/entry/71740#comments"> 60 </a> </li> </ul> </div> <br style="clear:both;"/> </div> <style type="text/css"> .comments .title { float: left; } .comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /position: relative !important;/ /bottom: 0.4rem !important;/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">\|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$\|T_s\|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k\|i\in T_k}\neq{k\|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[\|C_q\|/(n+1)]\log[\|C_q\|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">\|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1263A	1263	A	ru	A. Сладкая задача	<div class="problem-statement"><div class="header"><div class="title">A. Сладкая задача</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У вас есть три кучи сладостей, состоящие из красных, зеленых и синих конфет:</p><ul> <li> первая куча состоит только из $$$r$$$ красных конфет, </li><li> вторая куча состоит только из $$$g$$$ зеленых конфет, </li><li> третья куча состоит только из $$$b$$$ синих конфет. </li></ul><p>Каждый день Таня съедает ровно две конфеты различных цветов. Она выбирает любые цвета конфет, единственное ограничение - она не может съесть две конфеты одного цвета за один день.</p><p>Найдите максимальное количество дней, в течение которых Таня может есть сладости. Каждый день Таня должна съедать ровно две конфеты.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит одно целое число $$$t$$$ ($$$1 \le t \le 1000$$$) — количество наборов входных данных. Далее следуют $$$t$$$ независимых наборов входных данных.</p><p>Каждый набор состоит из одной строки, в которой находятся три целых числа $$$r$$$, $$$g$$$ и $$$b$$$ ($$$1 \le r, g, b \le 10^8$$$) — количество красных, зеленых и синих конфет соответственно.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел: $$$i$$$-е число соответствует ответу на $$$i$$$-й набор данных.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 1 1 1 1 2 1 4 1 1 7 4 10 8 1 4 8 2 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 2 10 5 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере Таня может есть конфеты только в течение одного дня. Она может съесть любую пару конфет, потому что все они различного цвета.</p><p>Во втором примере Таня может есть конфеты в течение двух дней. Например, она может съесть красную и зеленую конфету в первый день и зеленую и синюю конфету во второй день.</p><p>В третьем примере Таня может есть конфеты в течение двух дней. Например, она может съесть красную и зеленую конфету в первый день и красную и синюю во второй день. Заметьте, что две красные конфеты остались не съедены.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="2b58a0a12ae30f1545990e92bbae693e"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - A - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="149ccf198fba3594b1169bf5c7091cb7be5853d5"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - A - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71803" title="Codeforces Round #603 (Div. 2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9964:9965" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=en" title="Codeforces Round #603 (Div. 2) Editorial" target="_blank">Разбор задач №1 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9975" resourceName="Codeforces Round #603 (Div. 2) Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=ru" title="Разбор Codeforces Round #603 (Div. 2)" target="_blank">Разбор задач №2 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9976" resourceName="Разбор Codeforces Round #603 (Div. 2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1263">Задачи</a></li> <li><a href="/contest/1263/submit">Отослать</a></li> <li><a href="/contest/1263/my">Мои посылки</a></li> <li><a href="/contest/1263/status">Статус</a></li> <li><a href="/contest/1263/hacks">Взломы</a></li> <li><a href="/contest/1263/room/1">Комната</a></li> <li><a href="/contest/1263/standings">Положение</a></li> <li><a href="/contest/1263/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_4e65bb40c3491ef9c3d38746d0336a06ef2ebf3e"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Сладкая задача</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У вас есть три кучи сладостей, состоящие из красных, зеленых и синих конфет:</p><ul> <li> первая куча состоит только из $$$r$$$ красных конфет, </li><li> вторая куча состоит только из $$$g$$$ зеленых конфет, </li><li> третья куча состоит только из $$$b$$$ синих конфет. </li></ul><p>Каждый день Таня съедает ровно две конфеты различных цветов. Она выбирает любые цвета конфет, единственное ограничение - она не может съесть две конфеты одного цвета за один день.</p><p>Найдите максимальное количество дней, в течение которых Таня может есть сладости. Каждый день Таня должна съедать ровно две конфеты.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит одно целое число $$$t$$$ ($$$1 \le t \le 1000$$$) — количество наборов входных данных. Далее следуют $$$t$$$ независимых наборов входных данных.</p><p>Каждый набор состоит из одной строки, в которой находятся три целых числа $$$r$$$, $$$g$$$ и $$$b$$$ ($$$1 \le r, g, b \le 10^8$$$) — количество красных, зеленых и синих конфет соответственно.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел: $$$i$$$-е число соответствует ответу на $$$i$$$-й набор данных.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 1 1 1 1 2 1 4 1 1 7 4 10 8 1 4 8 2 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 2 10 5 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере Таня может есть конфеты только в течение одного дня. Она может съесть любую пару конфет, потому что все они различного цвета.</p><p>Во втором примере Таня может есть конфеты в течение двух дней. Например, она может съесть красную и зеленую конфету в первый день и зеленую и синюю конфету во второй день.</p><p>В третьем примере Таня может есть конфеты в течение двух дней. Например, она может съесть красную и зеленую конфету в первый день и красную и синюю во второй день. Заметьте, что две красные конфеты остались не съедены.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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1263B	1263	B	ru	B. ПИН-коды	<div class="problem-statement"><div class="header"><div class="title">B. ПИН-коды</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>ПИН-код — это строка, которая состоит ровно из $$$4$$$ цифр. Примеры возможных ПИН-кодов: «<span class="tex-font-style-tt">7013</span>», «<span class="tex-font-style-tt">0000</span>» и «<span class="tex-font-style-tt">0990</span>». Обратите внимание, что ПИН-код может начинаться с любой цифры, даже с <span class="tex-font-style-tt">0</span>.</p><p>У Поликарпа есть $$$n$$$ ($$$2 \le n \le 10$$$) банковских карт, ПИН-код $$$i$$$-й карты равен $$$p_i$$$.</p><p>Недавно Поликарп прочёл рекомендацию, что на разные карты лучше устанавливать различные ПИН-коды. Поэтому он хочет поменять наименьшее количество цифр в ПИН-кодах своих карт так, чтобы все $$$n$$$ кодов оказались различными.</p><p>Формально говоря, за один шаг Поликарп берёт одну банковскую карту с номером $$$i$$$ ($$$1 \le i \le n$$$), затем в её ПИН-коде $$$p_i$$$ выбирает одну позицию (от $$$1$$$ до $$$4$$$), и изменяет цифру в этой позиции на любую другую. Ему необходимо за наименьшее количество шагов сделать так, чтобы не существовало пары одинаковых ПИН-кодов.</p><p>Поликарп быстро справился с этой задачей. А сможете ли вы её решить?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. </p><p>В следующих строках следуют описания $$$t$$$ наборов входных данных. Первая строка каждого набора содержит целое число $$$n$$$ ($$$2 \le n \le 10$$$) — количество ПИН-кодов у Поликарпа. В следующих $$$n$$$ строках содержатся ПИН-коды $$$p_1, p_2, \dots, p_n$$$ — по одному в строке. Длина каждого из них равна $$$4$$$. Все ПИН-коды состоят только из цифр.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответы на $$$t$$$ заданных наборов входных данных. Ответ на каждый набор должен состоять из $$$n + 1$$$ строки. </p><p>В первую строку выведите $$$k$$$ — наименьшее количество изменений, чтобы сделать все ПИН-коды различными. Далее в $$$n$$$ строках выведите изменённые ПИН-коды в порядке, соответствующем их порядку во входных данных. Если существует несколько оптимальных ответов, выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 2 1234 0600 2 1337 1337 4 3139 3139 3139 3139 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1234 0600 1 1337 1237 3 3139 3138 3939 6139 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="d645338206dc609817f5f3309cfdb9a3"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="149ccf198fba3594b1169bf5c7091cb7be5853d5"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1400 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='d645338206dc609817f5f3309cfdb9a3'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="483578"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='d645338206dc609817f5f3309cfdb9a3'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="483578"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71803" title="Codeforces Round #603 (Div. 2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9964:9965" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=en" title="Codeforces Round #603 (Div. 2) Editorial" target="_blank">Разбор задач №1 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9975" resourceName="Codeforces Round #603 (Div. 2) Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=ru" title="Разбор Codeforces Round #603 (Div. 2)" target="_blank">Разбор задач №2 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9976" resourceName="Разбор Codeforces Round #603 (Div. 2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1263">Задачи</a></li> <li><a href="/contest/1263/submit">Отослать</a></li> <li><a href="/contest/1263/my">Мои посылки</a></li> <li><a href="/contest/1263/status">Статус</a></li> <li><a href="/contest/1263/hacks">Взломы</a></li> <li><a href="/contest/1263/room/1">Комната</a></li> <li><a href="/contest/1263/standings">Положение</a></li> <li><a href="/contest/1263/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_22ce233222c8121bf46034c2071d7ce208f938c0"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. ПИН-коды</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>ПИН-код — это строка, которая состоит ровно из $$$4$$$ цифр. Примеры возможных ПИН-кодов: «<span class="tex-font-style-tt">7013</span>», «<span class="tex-font-style-tt">0000</span>» и «<span class="tex-font-style-tt">0990</span>». Обратите внимание, что ПИН-код может начинаться с любой цифры, даже с <span class="tex-font-style-tt">0</span>.</p><p>У Поликарпа есть $$$n$$$ ($$$2 \le n \le 10$$$) банковских карт, ПИН-код $$$i$$$-й карты равен $$$p_i$$$.</p><p>Недавно Поликарп прочёл рекомендацию, что на разные карты лучше устанавливать различные ПИН-коды. Поэтому он хочет поменять наименьшее количество цифр в ПИН-кодах своих карт так, чтобы все $$$n$$$ кодов оказались различными.</p><p>Формально говоря, за один шаг Поликарп берёт одну банковскую карту с номером $$$i$$$ ($$$1 \le i \le n$$$), затем в её ПИН-коде $$$p_i$$$ выбирает одну позицию (от $$$1$$$ до $$$4$$$), и изменяет цифру в этой позиции на любую другую. Ему необходимо за наименьшее количество шагов сделать так, чтобы не существовало пары одинаковых ПИН-кодов.</p><p>Поликарп быстро справился с этой задачей. А сможете ли вы её решить?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. </p><p>В следующих строках следуют описания $$$t$$$ наборов входных данных. Первая строка каждого набора содержит целое число $$$n$$$ ($$$2 \le n \le 10$$$) — количество ПИН-кодов у Поликарпа. В следующих $$$n$$$ строках содержатся ПИН-коды $$$p_1, p_2, \dots, p_n$$$ — по одному в строке. Длина каждого из них равна $$$4$$$. Все ПИН-коды состоят только из цифр.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответы на $$$t$$$ заданных наборов входных данных. Ответ на каждый набор должен состоять из $$$n + 1$$$ строки. </p><p>В первую строку выведите $$$k$$$ — наименьшее количество изменений, чтобы сделать все ПИН-коды различными. Далее в $$$n$$$ строках выведите изменённые ПИН-коды в порядке, соответствующем их порядку во входных данных. Если существует несколько оптимальных ответов, выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 2 1234 0600 2 1337 1337 4 3139 3139 3139 3139 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1234 0600 1 1337 1237 3 3139 3138 3939 6139 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); 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1263C	1263	C	ru	C. Вы все уже победители!	<div class="problem-statement"><div class="header"><div class="title">C. Вы все уже победители!</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>На всеми известной тестирующей системе MathForces устраивается розыгрыш $$$n$$$ единиц рейтинга. Раздача рейтинга будет происходить по следующему алгоритму: если в мероприятии принимает участие $$$k$$$ участников, то $$$n$$$ рейтинга поровну распределяется между ними и округляется в сторону ближайшего меньшего целого числа. По окончании распределения может остаться неиспользованный рейтинг — он не достаётся никому из участников.</p><p>К примеру, если $$$n = 5$$$ и $$$k = 3$$$, то каждый участник получит $$$1$$$ единицу рейтинга, а также $$$2$$$ единицы рейтинга останутся неиспользованными. Если же $$$n = 5$$$, а $$$k = 6$$$, то ни у кого из участников не увеличится рейтинг.</p><p>Вася участвует в этом розыгрыше рейтинга, но не владеет информацией об общем количестве участников этого мероприятия. Поэтому он хочет узнать, какие различные значения приращения рейтинга он может получить в результате этого розыгрыша, и просит Вас о помощи. </p><p>Например, если $$$n=5$$$, то искомый ответ равен последовательности $$$0, 1, 2, 5$$$. Каждое из значений последовательности (и только они) может быть получено как $$$\lfloor n/k \rfloor$$$ для некоторое подходящего целого положительного $$$k$$$ (где $$$\lfloor x \rfloor$$$ — округлённое вниз значение $$$x$$$): $$$0 = \lfloor 5/7 \rfloor$$$, $$$1 = \lfloor 5/5 \rfloor$$$, $$$2 = \lfloor 5/2 \rfloor$$$, $$$5 = \lfloor 5/1 \rfloor$$$.</p><p>Напишите программу, которая по заданному $$$n$$$ находит последовательность всех возможных приращений рейтинга.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10$$$) — количество наборов входных данных в тесте.</p><p>Далее следуют описания $$$t$$$ наборов входных данных, по одному описанию в строке. Каждая строка содержит целое число $$$n$$$ ($$$1 \le n \le 10^9$$$) — суммарное количество разыгрываемого рейтинга.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответы на $$$t$$$ заданных наборов входных данных. Каждый ответ должен состоять из двух строк.</p><p>В первой строке выведите число $$$m$$$ — количество различных значений приращения рейтинга, которые может получить Вася.</p><p>В следующей строке выведите $$$m$$$ различных чисел — сами значения приращения рейтинга <span class="tex-font-style-bf">в порядке возрастания</span>. </p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 5 11 1 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 0 1 2 5 6 0 1 2 3 5 11 2 0 1 3 0 1 3 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="5f8ca782a573fe975915d2be2523fb77"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - C - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="149ccf198fba3594b1169bf5c7091cb7be5853d5"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - C - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71803" title="Codeforces Round #603 (Div. 2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9964:9965" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=en" title="Codeforces Round #603 (Div. 2) Editorial" target="_blank">Разбор задач №1 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9975" resourceName="Codeforces Round #603 (Div. 2) Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=ru" title="Разбор Codeforces Round #603 (Div. 2)" target="_blank">Разбор задач №2 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9976" resourceName="Разбор Codeforces Round #603 (Div. 2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1263">Задачи</a></li> <li><a href="/contest/1263/submit">Отослать</a></li> <li><a href="/contest/1263/my">Мои посылки</a></li> <li><a href="/contest/1263/status">Статус</a></li> <li><a href="/contest/1263/hacks">Взломы</a></li> <li><a href="/contest/1263/room/1">Комната</a></li> <li><a href="/contest/1263/standings">Положение</a></li> <li><a href="/contest/1263/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_c0efd323b840aee114fa9c3043e933330eab9df9"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Вы все уже победители!</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>На всеми известной тестирующей системе MathForces устраивается розыгрыш $$$n$$$ единиц рейтинга. Раздача рейтинга будет происходить по следующему алгоритму: если в мероприятии принимает участие $$$k$$$ участников, то $$$n$$$ рейтинга поровну распределяется между ними и округляется в сторону ближайшего меньшего целого числа. По окончании распределения может остаться неиспользованный рейтинг — он не достаётся никому из участников.</p><p>К примеру, если $$$n = 5$$$ и $$$k = 3$$$, то каждый участник получит $$$1$$$ единицу рейтинга, а также $$$2$$$ единицы рейтинга останутся неиспользованными. Если же $$$n = 5$$$, а $$$k = 6$$$, то ни у кого из участников не увеличится рейтинг.</p><p>Вася участвует в этом розыгрыше рейтинга, но не владеет информацией об общем количестве участников этого мероприятия. Поэтому он хочет узнать, какие различные значения приращения рейтинга он может получить в результате этого розыгрыша, и просит Вас о помощи. </p><p>Например, если $$$n=5$$$, то искомый ответ равен последовательности $$$0, 1, 2, 5$$$. Каждое из значений последовательности (и только они) может быть получено как $$$\lfloor n/k \rfloor$$$ для некоторое подходящего целого положительного $$$k$$$ (где $$$\lfloor x \rfloor$$$ — округлённое вниз значение $$$x$$$): $$$0 = \lfloor 5/7 \rfloor$$$, $$$1 = \lfloor 5/5 \rfloor$$$, $$$2 = \lfloor 5/2 \rfloor$$$, $$$5 = \lfloor 5/1 \rfloor$$$.</p><p>Напишите программу, которая по заданному $$$n$$$ находит последовательность всех возможных приращений рейтинга.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10$$$) — количество наборов входных данных в тесте.</p><p>Далее следуют описания $$$t$$$ наборов входных данных, по одному описанию в строке. Каждая строка содержит целое число $$$n$$$ ($$$1 \le n \le 10^9$$$) — суммарное количество разыгрываемого рейтинга.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответы на $$$t$$$ заданных наборов входных данных. Каждый ответ должен состоять из двух строк.</p><p>В первой строке выведите число $$$m$$$ — количество различных значений приращения рейтинга, которые может получить Вася.</p><p>В следующей строке выведите $$$m$$$ различных чисел — сами значения приращения рейтинга <span class="tex-font-style-bf">в порядке возрастания</span>. </p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 5 11 1 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 0 1 2 5 6 0 1 2 3 5 11 2 0 1 3 0 1 3 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); 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1263D	1263	D	ru	D. Секретные пароли	<div class="problem-statement"><div class="header"><div class="title">D. Секретные пароли</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Один малоизвестный хакер захотел заполучить пароль администратора от тестирующей системы AtForces, чтобы узнать задачи с предстоящего контеста. Чтобы достичь этого, он пробрался в кабинет администратора и украл листочек, на котором записан список из $$$n$$$ паролей — строк, состоящих из строчных букв латинского алфавита.</p><p>Хакер вернулся домой и начал готовиться ко взлому. Он обнаружил, что в системе содержатся только пароли с украденного листочка, и что система определяет эквивалентность паролей $$$a$$$ и $$$b$$$ следующим образом: </p><ul> <li> два пароля $$$a$$$ и $$$b$$$ эквивалентны, если существует символ, который есть и в $$$a$$$, и в $$$b$$$; </li><li> два пароля $$$a$$$ и $$$b$$$ эквивалентны, если существует другой пароль $$$c$$$ из списка, которому эквивалентны одновременно и $$$a$$$, и $$$b$$$. </li></ul><p>Если в системе установлен некоторый пароль, а применяется ему эквивалентный, то пользователь получает доступ к системе.</p><p>К примеру, если в списке содержатся пароли «<span class="tex-font-style-tt">a</span>», «<span class="tex-font-style-tt">b</span>», «<span class="tex-font-style-tt">ab</span>», «<span class="tex-font-style-tt">d</span>», то с точки зрения системы пароли «<span class="tex-font-style-tt">a</span>», «<span class="tex-font-style-tt">b</span>», «<span class="tex-font-style-tt">ab</span>» эквивалентны друг другу, а пароль «<span class="tex-font-style-tt">d</span>» никакому другому не эквивалентен. Иначе говоря, если:</p><ul> <li> установленный пароль равен, например, «<span class="tex-font-style-tt">b</span>», то можно зайти в систему под любым из трёх паролей: «<span class="tex-font-style-tt">a</span>», «<span class="tex-font-style-tt">b</span>», «<span class="tex-font-style-tt">ab</span>»; </li><li> установленный пароль равен «<span class="tex-font-style-tt">d</span>», то можно зайти в систему только под паролем «<span class="tex-font-style-tt">d</span>». </li></ul><p>Известно, что <span class="tex-font-style-bf">ровно один</span> пароль из списка является паролем администратора от тестирующей системы. Помогите хакеру понять, какое минимальное количество паролей понадобится использовать при взломе, чтобы <span class="tex-font-style-bf">гарантированно</span> получить доступ к системе. Имейте в виду, что хакер не знает, какой именно пароль установлен в системе.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано число $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — количество паролей. В следующих $$$n$$$ строках заданы пароли администратора из списка — непустые строки $$$s_i$$$, длины которых не превышают $$$50$$$ символов. Некоторые строки могут совпадать.</p><p>Гарантируется, что суммарная длина всех паролей не превышает $$$10^6$$$ символов. Все они состоят только из строчных букв латинского алфавита.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В единственной строке выведите минимальное количество паролей, использование которых позволит <span class="tex-font-style-bf">гарантированно</span> получить доступ к системе.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 a b ab d </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2</pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 ab bc abc </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1</pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 codeforces </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1</pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Во втором примере необходимо использовать любой из паролей, чтобы получить доступ к системе.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="56afad08b1c3f092c26bf2749fbbbf4f"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="149ccf198fba3594b1169bf5c7091cb7be5853d5"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71803" title="Codeforces Round #603 (Div. 2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9964:9965" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=en" title="Codeforces Round #603 (Div. 2) Editorial" target="_blank">Разбор задач №1 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9975" resourceName="Codeforces Round #603 (Div. 2) Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=ru" title="Разбор Codeforces Round #603 (Div. 2)" target="_blank">Разбор задач №2 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9976" resourceName="Разбор Codeforces Round #603 (Div. 2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1263">Задачи</a></li> <li><a href="/contest/1263/submit">Отослать</a></li> <li><a href="/contest/1263/my">Мои посылки</a></li> <li><a href="/contest/1263/status">Статус</a></li> <li><a href="/contest/1263/hacks">Взломы</a></li> <li><a href="/contest/1263/room/1">Комната</a></li> <li><a href="/contest/1263/standings">Положение</a></li> <li><a href="/contest/1263/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_5177ab0d19c6131bb698c9d52827619745385722"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Секретные пароли</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Один малоизвестный хакер захотел заполучить пароль администратора от тестирующей системы AtForces, чтобы узнать задачи с предстоящего контеста. Чтобы достичь этого, он пробрался в кабинет администратора и украл листочек, на котором записан список из $$$n$$$ паролей — строк, состоящих из строчных букв латинского алфавита.</p><p>Хакер вернулся домой и начал готовиться ко взлому. Он обнаружил, что в системе содержатся только пароли с украденного листочка, и что система определяет эквивалентность паролей $$$a$$$ и $$$b$$$ следующим образом: </p><ul> <li> два пароля $$$a$$$ и $$$b$$$ эквивалентны, если существует символ, который есть и в $$$a$$$, и в $$$b$$$; </li><li> два пароля $$$a$$$ и $$$b$$$ эквивалентны, если существует другой пароль $$$c$$$ из списка, которому эквивалентны одновременно и $$$a$$$, и $$$b$$$. </li></ul><p>Если в системе установлен некоторый пароль, а применяется ему эквивалентный, то пользователь получает доступ к системе.</p><p>К примеру, если в списке содержатся пароли «<span class="tex-font-style-tt">a</span>», «<span class="tex-font-style-tt">b</span>», «<span class="tex-font-style-tt">ab</span>», «<span class="tex-font-style-tt">d</span>», то с точки зрения системы пароли «<span class="tex-font-style-tt">a</span>», «<span class="tex-font-style-tt">b</span>», «<span class="tex-font-style-tt">ab</span>» эквивалентны друг другу, а пароль «<span class="tex-font-style-tt">d</span>» никакому другому не эквивалентен. Иначе говоря, если:</p><ul> <li> установленный пароль равен, например, «<span class="tex-font-style-tt">b</span>», то можно зайти в систему под любым из трёх паролей: «<span class="tex-font-style-tt">a</span>», «<span class="tex-font-style-tt">b</span>», «<span class="tex-font-style-tt">ab</span>»; </li><li> установленный пароль равен «<span class="tex-font-style-tt">d</span>», то можно зайти в систему только под паролем «<span class="tex-font-style-tt">d</span>». </li></ul><p>Известно, что <span class="tex-font-style-bf">ровно один</span> пароль из списка является паролем администратора от тестирующей системы. Помогите хакеру понять, какое минимальное количество паролей понадобится использовать при взломе, чтобы <span class="tex-font-style-bf">гарантированно</span> получить доступ к системе. Имейте в виду, что хакер не знает, какой именно пароль установлен в системе.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано число $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — количество паролей. В следующих $$$n$$$ строках заданы пароли администратора из списка — непустые строки $$$s_i$$$, длины которых не превышают $$$50$$$ символов. Некоторые строки могут совпадать.</p><p>Гарантируется, что суммарная длина всех паролей не превышает $$$10^6$$$ символов. Все они состоят только из строчных букв латинского алфавита.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В единственной строке выведите минимальное количество паролей, использование которых позволит <span class="tex-font-style-bf">гарантированно</span> получить доступ к системе.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 a b ab d </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2</pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 ab bc abc </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1</pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 codeforces </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1</pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Во втором примере необходимо использовать любой из паролей, чтобы получить доступ к системе.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); 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1263E	1263	E	ru	E. Редактор	<div class="problem-statement"><div class="header"><div class="title">E. Редактор</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Разработка текстового редактора — непростая задача. Ваша задача реализовать вспомогательный модуль для подсистемы подсветки скобок в тексте.</p><p>Ваш редактор состоит из строки бесконечной длины и курсора, который указывает на текущий символ. Обратите внимание, что он указывает точно на один из символов (а не между парой символов). Таким образом, положение курсора характеризуется индексом символа, на который он указывает. Пользователь может двигать курсор влево или вправо на одну позицию. Если курсор уже находится на первом (самом левом) символе, то сдвиг влево не производится.</p><p>Изначально все символы строки равны пробелу, курсор находится в первой (самой левой) позиции.</p><p>Кроме этого пользователь может записать букву или круглую скобку (либо '(', либо ')') в позицию, на которой в настоящий момент указывает курсор. Новый символ всегда перезаписывает старое значение в этой позиции.</p><p>Ваш редактор должен уметь проверять, является ли текущая строка, набранная пользователем, «корректным текстом». Текст является корректным, если скобки в нём образуют <span class="tex-font-style-it">правильную скобочную последовательность</span>.</p><p>Формально, корректный текст (КТ) должен удовлетворять следующим правилам: </p><ul> <li> любая строка без скобок является КТ (строка может содержать пробелы); </li><li> если первый символ строки — это '(', последний — это ')', а все остальные (промежуточные) образуют КТ, то вся строка является КТ; </li><li> два подряд написанных КТ также являются КТ. </li></ul><p>Примеры корректных текстов: «<span class="tex-font-style-tt">hello(codeforces)</span>», «<span class="tex-font-style-tt">round</span>», «<span class="tex-font-style-tt">((i)(write))edi(tor)s</span>», «<span class="tex-font-style-tt">( me)</span>». Примеры текстов, которые не являются корректными: «<span class="tex-font-style-tt">hello)oops(</span>», «<span class="tex-font-style-tt">round)</span>», «<span class="tex-font-style-tt">((me)</span>». </p><p>Пользователь использует специальные команды для работы с вашим редактором. Каждой команде соответствует свой символ, который нужно нажать, чтобы выполнить эту команду.</p><p>Соответствие команд и символов следующее: </p><ul> <li> 'L' — сдвинуть курсор на один символ влево (остаётся на месте, если уже указывает на первый символ); </li><li> 'R' — сдвинуть курсор на один символ вправо; </li><li> любая строчная английская буква или круглая скобка '(' или ')' — записать введённый символ в позицию, на которой сейчас стоит курсор. </li></ul><p>Для полного понимания изучите первый пример и его иллюстрации в примечании ниже.</p><p>Вам дана строка, содержащая символы, которые вводил пользователь. Для работы подсистемы подсветки скобок Вам требуется после каждой команды:</p><ul> <li> проверить, является ли текущий текст в редакторе корректным; </li><li> если является, то вывести наименьшее количество цветов, в которые можно раскрасить все пары скобок. </li></ul><p>Если две пары скобок являются вложенными (первая во вторую или наоборот), то эти пары скобок должны быть раскрашены в <span class="tex-font-style-it">разные</span> цвета. Если две пары скобок не вложены, то они могут быть покрашены как в разные, так и в одинаковые цвета. Например, для скобочной последовательности «<span class="tex-font-style-tt">()(())()()</span>» наименьшее количество цветов равно $$$2$$$, а для для скобочной последовательности «<span class="tex-font-style-tt">(()(()())())(())</span>» — равно $$$3$$$.</p><p>Напишите программу, которая выводит требуемую информацию после обработки каждой команды.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит целое число $$$n$$$ ($$$1 \le n \le 10^6$$$) — количество команд. Вторая строка содержит $$$s$$$ — последовательность команд. Строка $$$s$$$ состоит из $$$n$$$ символов. Гарантируется, что все символы в строке являются корректными командами.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В единственной строке выведите $$$n$$$ целых чисел, где $$$i$$$-е число равно:</p><ul> <li> $$$-1$$$, если строка, полученная после обработки первых $$$i$$$ команд, не является корректным текстом, </li><li> минимальному количеству цветов в случае корректного текста. </li></ul></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 11 (RaRbR)L)L( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 -1 -1 -1 -1 -1 1 1 -1 -1 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 11 (R)R(R)Ra)c </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 -1 1 1 -1 -1 1 1 1 -1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере текст в редакторе будет принимать следующий вид:</p><ol> <li> <pre class="verbatim">(<br/>^</pre> </li><li> <pre class="verbatim">(<br/> ^</pre> </li><li> <pre class="verbatim">(a<br/> ^</pre> </li><li> <pre class="verbatim">(a<br/> ^</pre> </li><li> <pre class="verbatim">(ab<br/> ^</pre> </li><li> <pre class="verbatim">(ab<br/> ^</pre> </li><li> <pre class="verbatim">(ab)<br/> ^</pre> </li><li> <pre class="verbatim">(ab)<br/> ^</pre> </li><li> <pre class="verbatim">(a))<br/> ^</pre> </li><li> <pre class="verbatim">(a))<br/> ^</pre> </li><li> <pre class="verbatim">(())<br/> ^</pre> </li></ol></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="b10435d4850ee2a8b45b80f229bb7c2d"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="149ccf198fba3594b1169bf5c7091cb7be5853d5"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71803" title="Codeforces Round #603 (Div. 2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9964:9965" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=en" title="Codeforces Round #603 (Div. 2) Editorial" target="_blank">Разбор задач №1 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9975" resourceName="Codeforces Round #603 (Div. 2) Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=ru" title="Разбор Codeforces Round #603 (Div. 2)" target="_blank">Разбор задач №2 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9976" resourceName="Разбор Codeforces Round #603 (Div. 2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1263">Задачи</a></li> <li><a href="/contest/1263/submit">Отослать</a></li> <li><a href="/contest/1263/my">Мои посылки</a></li> <li><a href="/contest/1263/status">Статус</a></li> <li><a href="/contest/1263/hacks">Взломы</a></li> <li><a href="/contest/1263/room/1">Комната</a></li> <li><a href="/contest/1263/standings">Положение</a></li> <li><a href="/contest/1263/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_2ecbcbf514e5594aff6fe3e44a135f93b2f9389b"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Редактор</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Разработка текстового редактора — непростая задача. Ваша задача реализовать вспомогательный модуль для подсистемы подсветки скобок в тексте.</p><p>Ваш редактор состоит из строки бесконечной длины и курсора, который указывает на текущий символ. Обратите внимание, что он указывает точно на один из символов (а не между парой символов). Таким образом, положение курсора характеризуется индексом символа, на который он указывает. Пользователь может двигать курсор влево или вправо на одну позицию. Если курсор уже находится на первом (самом левом) символе, то сдвиг влево не производится.</p><p>Изначально все символы строки равны пробелу, курсор находится в первой (самой левой) позиции.</p><p>Кроме этого пользователь может записать букву или круглую скобку (либо '(', либо ')') в позицию, на которой в настоящий момент указывает курсор. Новый символ всегда перезаписывает старое значение в этой позиции.</p><p>Ваш редактор должен уметь проверять, является ли текущая строка, набранная пользователем, «корректным текстом». Текст является корректным, если скобки в нём образуют <span class="tex-font-style-it">правильную скобочную последовательность</span>.</p><p>Формально, корректный текст (КТ) должен удовлетворять следующим правилам: </p><ul> <li> любая строка без скобок является КТ (строка может содержать пробелы); </li><li> если первый символ строки — это '(', последний — это ')', а все остальные (промежуточные) образуют КТ, то вся строка является КТ; </li><li> два подряд написанных КТ также являются КТ. </li></ul><p>Примеры корректных текстов: «<span class="tex-font-style-tt">hello(codeforces)</span>», «<span class="tex-font-style-tt">round</span>», «<span class="tex-font-style-tt">((i)(write))edi(tor)s</span>», «<span class="tex-font-style-tt">( me)</span>». Примеры текстов, которые не являются корректными: «<span class="tex-font-style-tt">hello)oops(</span>», «<span class="tex-font-style-tt">round)</span>», «<span class="tex-font-style-tt">((me)</span>». </p><p>Пользователь использует специальные команды для работы с вашим редактором. Каждой команде соответствует свой символ, который нужно нажать, чтобы выполнить эту команду.</p><p>Соответствие команд и символов следующее: </p><ul> <li> 'L' — сдвинуть курсор на один символ влево (остаётся на месте, если уже указывает на первый символ); </li><li> 'R' — сдвинуть курсор на один символ вправо; </li><li> любая строчная английская буква или круглая скобка '(' или ')' — записать введённый символ в позицию, на которой сейчас стоит курсор. </li></ul><p>Для полного понимания изучите первый пример и его иллюстрации в примечании ниже.</p><p>Вам дана строка, содержащая символы, которые вводил пользователь. Для работы подсистемы подсветки скобок Вам требуется после каждой команды:</p><ul> <li> проверить, является ли текущий текст в редакторе корректным; </li><li> если является, то вывести наименьшее количество цветов, в которые можно раскрасить все пары скобок. </li></ul><p>Если две пары скобок являются вложенными (первая во вторую или наоборот), то эти пары скобок должны быть раскрашены в <span class="tex-font-style-it">разные</span> цвета. Если две пары скобок не вложены, то они могут быть покрашены как в разные, так и в одинаковые цвета. Например, для скобочной последовательности «<span class="tex-font-style-tt">()(())()()</span>» наименьшее количество цветов равно $$$2$$$, а для для скобочной последовательности «<span class="tex-font-style-tt">(()(()())())(())</span>» — равно $$$3$$$.</p><p>Напишите программу, которая выводит требуемую информацию после обработки каждой команды.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит целое число $$$n$$$ ($$$1 \le n \le 10^6$$$) — количество команд. Вторая строка содержит $$$s$$$ — последовательность команд. Строка $$$s$$$ состоит из $$$n$$$ символов. Гарантируется, что все символы в строке являются корректными командами.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В единственной строке выведите $$$n$$$ целых чисел, где $$$i$$$-е число равно:</p><ul> <li> $$$-1$$$, если строка, полученная после обработки первых $$$i$$$ команд, не является корректным текстом, </li><li> минимальному количеству цветов в случае корректного текста. </li></ul></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 11 (RaRbR)L)L( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 -1 -1 -1 -1 -1 1 1 -1 -1 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 11 (R)R(R)Ra)c </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 -1 1 1 -1 -1 1 1 1 -1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере текст в редакторе будет принимать следующий вид:</p><ol> <li> <pre class="verbatim">(<br />^</pre> </li><li> <pre class="verbatim">(<br /> ^</pre> </li><li> <pre class="verbatim">(a<br /> ^</pre> </li><li> <pre class="verbatim">(a<br /> ^</pre> </li><li> <pre class="verbatim">(ab<br /> ^</pre> </li><li> <pre class="verbatim">(ab<br /> ^</pre> </li><li> <pre class="verbatim">(ab)<br /> ^</pre> </li><li> <pre class="verbatim">(ab)<br /> ^</pre> </li><li> <pre class="verbatim">(a))<br /> ^</pre> </li><li> <pre class="verbatim">(a))<br /> ^</pre> </li><li> <pre class="verbatim">(())<br /> ^</pre> </li></ol></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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1263F	1263	F	ru	F. Экономические проблемы	<div class="problem-statement"><div class="header"><div class="title">F. Экономические проблемы</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Электросеть дворцов в Берляндии состоит из 2-х сетей: основной и запасной. Провода во дворцах сделаны из дорогого материала, поэтому их продажа будет отличной идеей!</p><p>Каждая из сетей (основная и запасная) имеет главный узел (он имеет номер $$$1$$$), из которого ток поступает на другие узлы сети. Все узлы доступны от главного по единственному пути. В обеих сетях количество узлов, из которых ток не распространяется дальше, равно $$$n$$$.</p><p>Иными словами, каждая из сетей является отдельным корневым ориентированным деревом с $$$n$$$ листьями и с корнем в вершине $$$1$$$. В каждом дереве свои вершины и своя независимая нумерация вершин.</p><p>Кроме электросетей во дворце есть $$$n$$$ приборов, каждый из которых соединён с одним из узлов основной и с одним из узлов запасной сети. Приборы соединяются только с такими узлами, из которых ток не распространяется далее (то есть, которые являются листьями). Каждый такой узел (лист дерева) соединён ровно с одним прибором.</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/3d806bfc58bf61a9b2b9b3146d345d4eb69f2569.png" style="max-width: 100.0%;max-height: 100.0%;"/> <span class="tex-font-size-small">В этом примере основная сеть содержит $$$6$$$ узлов (изображена сверху), а запасная — $$$4$$$ узла (изображена снизу). Количество приборов равно $$$3$$$, они пронумерованы синим цветом.</span> </center><p>Гарантируется, что вся электросеть (две сети и $$$n$$$ приборов) может быть изображена на схеме способом, аналогичным картинке выше:</p><ul> <li> основная сеть будет составлять дерево сверху, в котором все провода ведут в направлении «сверху вниз», </li><li> запасная сеть будет составлять дерево снизу, в котором все провода ведут в направлении «снизу вверх», </li><li> приборы — горизонтальный ряд между ними, пронумерованный от $$$1$$$ до $$$n$$$ слева направо, </li><li> провода между узлами сетей изображены непересекающимися отрезками. </li></ul><p>Формально, для каждого дерева существует такой обход в глубину из вершины $$$1$$$, что его листья посещаются в порядке их присоединения к приборам $$$1, 2, \dots, n$$$ (то есть сначала узел, присоединенный к прибору $$$1$$$, затем узел, присоединенный к прибору $$$2$$$, и так далее).</p><p>Предприниматель хочет продать (удалить) <span class="tex-font-style-bf">максимальное</span> количество проводов так, чтобы на каждый прибор поступал ток из хотя бы одной сети. Иначе говоря, для каждого прибора должен существовать путь до главного узла сети (основной или запасной), проходящий по проводам сети от этого главного узла.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 1000$$$) — количество приборов во дворце.</p><p>В следующей строке записано целое число $$$a$$$ ($$$1 + n \le a \le 1000 + n$$$) — количество узлов в основной электросети.</p><p>В следующей строке содержатся $$$a - 1$$$ целых чисел $$$p_i$$$ ($$$1 \le p_i \le a$$$). Каждое число $$$p_i$$$ задает провод от $$$p_i$$$-го узла к $$$(i + 1)$$$-му.</p><p>В следующей строке записаны $$$n$$$ чисел $$$x_i$$$ ($$$1 \le x_i \le a$$$) — номер узла в основной электросети, с которым соединен $$$i$$$-й электроприбор.</p><p>В следующей строке записано целое число $$$b$$$ ($$$1 + n \le b \le 1000 + n$$$) — количество узлов в запасной электросети.</p><p>В следующей строке содержатся $$$b - 1$$$ целых чисел $$$q_i$$$ ($$$1 \le q_i \le b$$$). Каждое число $$$q_i$$$ задает провод от $$$q_i$$$-го узла к $$$(i + 1)$$$-му.</p><p>В следующей строке записаны $$$n$$$ чисел $$$y_i$$$ ($$$1 \le y_i \le b$$$) — номер узла в запасной электросети, с которым соединен $$$i$$$-й электроприбор.</p><p>Гарантируется, что каждая сеть представляет собой дерево, у каждого из которых ровно $$$n$$$ листьев, причем каждый лист соединен с одним прибором. Также гарантируется, что для каждой сети существует такой порядок обхода в глубину из вершины $$$1$$$, что листы появляются в данном обходе в порядке нумерации соответствующих приборов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите единственное целое число — максимальное количество проводов, которые можно удалить из сети так, чтобы каждый прибор продолжил получать электрический ток.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 4 1 1 4 2 6 5 3 4 1 1 1 3 4 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 6 4 4 1 1 1 3 2 6 5 6 6 6 1 1 1 5 4 3 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 14 1 1 11 2 14 14 13 7 12 2 5 6 1 9 8 3 10 4 16 1 1 9 9 2 5 10 1 14 3 7 11 6 12 2 8 16 13 4 15 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 17 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Для первого примера ниже на картинке изображен один из возможных вариантов решения (красным цветом отмечены провода, которые можно удалить):</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/f3b803f73ef65d34477de27b9819c958964ebed8.png" style="max-width: 100.0%;max-height: 100.0%;"/> </center><p>Второй и третий примеры изображены ниже:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/ab7a6e1d86c6db05c04b0f8158628382edd86b7f.png" style="max-width: 100.0%;max-height: 100.0%;"/> </center></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="762782c1c8746f4c2aa0c0c196676491"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - F - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="149ccf198fba3594b1169bf5c7091cb7be5853d5"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - F - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71803" title="Codeforces Round #603 (Div. 2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9964:9965" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=en" title="Codeforces Round #603 (Div. 2) Editorial" target="_blank">Разбор задач №1 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9975" resourceName="Codeforces Round #603 (Div. 2) Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=ru" title="Разбор Codeforces Round #603 (Div. 2)" target="_blank">Разбор задач №2 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9976" resourceName="Разбор Codeforces Round #603 (Div. 2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1263">Задачи</a></li> <li><a href="/contest/1263/submit">Отослать</a></li> <li><a href="/contest/1263/my">Мои посылки</a></li> <li><a href="/contest/1263/status">Статус</a></li> <li><a href="/contest/1263/hacks">Взломы</a></li> <li><a href="/contest/1263/room/1">Комната</a></li> <li><a href="/contest/1263/standings">Положение</a></li> <li><a href="/contest/1263/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_6441a841f108a42e7baae5951add5615851d4e34"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Экономические проблемы</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Электросеть дворцов в Берляндии состоит из 2-х сетей: основной и запасной. Провода во дворцах сделаны из дорогого материала, поэтому их продажа будет отличной идеей!</p><p>Каждая из сетей (основная и запасная) имеет главный узел (он имеет номер $$$1$$$), из которого ток поступает на другие узлы сети. Все узлы доступны от главного по единственному пути. В обеих сетях количество узлов, из которых ток не распространяется дальше, равно $$$n$$$.</p><p>Иными словами, каждая из сетей является отдельным корневым ориентированным деревом с $$$n$$$ листьями и с корнем в вершине $$$1$$$. В каждом дереве свои вершины и своя независимая нумерация вершин.</p><p>Кроме электросетей во дворце есть $$$n$$$ приборов, каждый из которых соединён с одним из узлов основной и с одним из узлов запасной сети. Приборы соединяются только с такими узлами, из которых ток не распространяется далее (то есть, которые являются листьями). Каждый такой узел (лист дерева) соединён ровно с одним прибором.</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/3d806bfc58bf61a9b2b9b3146d345d4eb69f2569.png" style="max-width: 100.0%;max-height: 100.0%;" /> <span class="tex-font-size-small">В этом примере основная сеть содержит $$$6$$$ узлов (изображена сверху), а запасная — $$$4$$$ узла (изображена снизу). Количество приборов равно $$$3$$$, они пронумерованы синим цветом.</span> </center><p>Гарантируется, что вся электросеть (две сети и $$$n$$$ приборов) может быть изображена на схеме способом, аналогичным картинке выше:</p><ul> <li> основная сеть будет составлять дерево сверху, в котором все провода ведут в направлении «сверху вниз», </li><li> запасная сеть будет составлять дерево снизу, в котором все провода ведут в направлении «снизу вверх», </li><li> приборы — горизонтальный ряд между ними, пронумерованный от $$$1$$$ до $$$n$$$ слева направо, </li><li> провода между узлами сетей изображены непересекающимися отрезками. </li></ul><p>Формально, для каждого дерева существует такой обход в глубину из вершины $$$1$$$, что его листья посещаются в порядке их присоединения к приборам $$$1, 2, \dots, n$$$ (то есть сначала узел, присоединенный к прибору $$$1$$$, затем узел, присоединенный к прибору $$$2$$$, и так далее).</p><p>Предприниматель хочет продать (удалить) <span class="tex-font-style-bf">максимальное</span> количество проводов так, чтобы на каждый прибор поступал ток из хотя бы одной сети. Иначе говоря, для каждого прибора должен существовать путь до главного узла сети (основной или запасной), проходящий по проводам сети от этого главного узла.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 1000$$$) — количество приборов во дворце.</p><p>В следующей строке записано целое число $$$a$$$ ($$$1 + n \le a \le 1000 + n$$$) — количество узлов в основной электросети.</p><p>В следующей строке содержатся $$$a - 1$$$ целых чисел $$$p_i$$$ ($$$1 \le p_i \le a$$$). Каждое число $$$p_i$$$ задает провод от $$$p_i$$$-го узла к $$$(i + 1)$$$-му.</p><p>В следующей строке записаны $$$n$$$ чисел $$$x_i$$$ ($$$1 \le x_i \le a$$$) — номер узла в основной электросети, с которым соединен $$$i$$$-й электроприбор.</p><p>В следующей строке записано целое число $$$b$$$ ($$$1 + n \le b \le 1000 + n$$$) — количество узлов в запасной электросети.</p><p>В следующей строке содержатся $$$b - 1$$$ целых чисел $$$q_i$$$ ($$$1 \le q_i \le b$$$). Каждое число $$$q_i$$$ задает провод от $$$q_i$$$-го узла к $$$(i + 1)$$$-му.</p><p>В следующей строке записаны $$$n$$$ чисел $$$y_i$$$ ($$$1 \le y_i \le b$$$) — номер узла в запасной электросети, с которым соединен $$$i$$$-й электроприбор.</p><p>Гарантируется, что каждая сеть представляет собой дерево, у каждого из которых ровно $$$n$$$ листьев, причем каждый лист соединен с одним прибором. Также гарантируется, что для каждой сети существует такой порядок обхода в глубину из вершины $$$1$$$, что листы появляются в данном обходе в порядке нумерации соответствующих приборов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите единственное целое число — максимальное количество проводов, которые можно удалить из сети так, чтобы каждый прибор продолжил получать электрический ток.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 4 1 1 4 2 6 5 3 4 1 1 1 3 4 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 6 4 4 1 1 1 3 2 6 5 6 6 6 1 1 1 5 4 3 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 14 1 1 11 2 14 14 13 7 12 2 5 6 1 9 8 3 10 4 16 1 1 9 9 2 5 10 1 14 3 7 11 6 12 2 8 16 13 4 15 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 17 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Для первого примера ниже на картинке изображен один из возможных вариантов решения (красным цветом отмечены провода, которые можно удалить):</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/f3b803f73ef65d34477de27b9819c958964ebed8.png" style="max-width: 100.0%;max-height: 100.0%;" /> </center><p>Второй и третий примеры изображены ниже:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/ab7a6e1d86c6db05c04b0f8158628382edd86b7f.png" style="max-width: 100.0%;max-height: 100.0%;" /> </center></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); 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1264A	1264	A	ru	A. Beautiful Regional Contest	<div class="problem-statement"><div class="header"><div class="title">A. Beautiful Regional Contest</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вот и подошел к концу Beautiful Regional Contest (BeRC)! В соревновании приняли участие $$$n$$$ студентов. Уже известна таблица финальных результатов — участник на $$$i$$$-м месте решил $$$p_i$$$ задач. Так как в первую очередь участники упорядочиваются по количеству решенных задач, то $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Помогите жюри распределить золотые, серебряные и бронзовые медали. Пусть их количества равны $$$g$$$, $$$s$$$ и $$$b$$$, соответственно. Вот перечень требований из регламента, которые все должны быть удовлетворены:</p><ul> <li> для каждого из трёх достоинств медалей хотя бы одна медаль должна быть вручена (то есть $$$g>0$$$, $$$s>0$$$ и $$$b>0$$$); </li><li> количество золотых медалей должно быть строго меньше и количества серебряных и количества бронзовых (то есть $$$g<s$$$ и $$$g<b$$$, но требований между $$$s$$$ и $$$b$$$ нет); </li><li> каждый золотой медалист должен решить строго больше задач, чем любой награждённый серебряной медалью; </li><li> каждый серебряный медалист должен решить строго больше задач, чем любой награждённый бронзовой медалью; </li><li> каждый бронзовый медалист должен решить строго больше задач, чем любой не награждённый медалью участник; </li><li> суммарное количество медалистов $$$g+s+b$$$ не должно превышать половину всех участников (например, если $$$n=21$$$, то можно наградить максимум $$$10$$$ участников, а если $$$n=26$$$, то можно наградить максимум $$$13$$$ участников). </li></ul><p>Жюри хочет наградить медалями суммарно <span class="tex-font-style-bf">наибольшее</span> количество $$$g+s+b$$$ участников так, чтобы все перечисленные пункты выполнялись. Помогите жюри найти такой способ награждения медалями.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10000$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка набора входных данных содержит целое число $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$) — количество участников BeRC. Вторая строка набора содержит последовательность целых чисел $$$p_1, p_2, \dots, p_n$$$ ($$$0 \le p_i \le 10^6$$$), где $$$p_i$$$ равно количеству задач, решенных $$$i$$$-м участником из таблицы финальных результатов. Значения $$$p_i$$$ отсортированы по невозрастанию, то есть $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$4\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк, $$$j$$$-я строка должна содержать ответ на $$$j$$$-й набор входных данных. </p><p>Ответ состоит из трёх неотрицательных целых чисел $$$g, s, b$$$.</p><ul> <li> Выведите $$$g=s=b=0$$$, если не существует способа наградить участников медалями, чтобы одновременно выполнялись все требования из условия. </li><li> В противном случае выведите три положительных числа $$$g, s, b$$$ — возможное количество золотых, серебряных и бронзовых медалей, соответственно. Сумма $$$g+s+b$$$ должна быть максимально возможной. Если ответов несколько, то выведите любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 12 5 4 4 3 2 2 1 1 1 1 1 1 4 4 3 2 1 1 1000000 20 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 32 64 64 63 58 58 58 58 58 37 37 37 37 34 34 28 28 28 28 28 28 24 24 19 17 17 17 17 16 16 16 16 11 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 3 0 0 0 0 0 0 2 5 3 2 6 6 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае можно наградить $$$1$$$ золотой, $$$2$$$ серебряными и $$$3$$$ бронзовыми медалями участников. Тогда золотую медаль получит участник, решившая $$$5$$$ задач, серебрянные медали получат участники, решившие $$$4$$$ задачи, бронзовые медали получат участники решившие $$$2$$$ или $$$3$$$ задачи. Участники, решившие $$$1$$$ задачу медаль не получат. Заметим, что все условия выполнены и раздать медали таким способом можно. Больше, чем $$$6$$$ медалей выдать невозможно, потому что нельзя выдать больше чем половину от количества участников медалей. Ответ $$$1$$$, $$$3$$$, $$$2$$$ также является верным в этом тестовом случае.</p><p>Во втором и третьем тестовых случаев нельзя так раздать медали, потому что медаль каждого достоинства должна получить хотя бы один участник, но количество выданных медалей не должно превышать половину от количества участников.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="bf2f907a80cf06ed3c3a19c267d25d1b"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - A - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="337a0e015c33f3897d8e4c6fe97db662db404257"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - A - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9998" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71995" title="71995" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10016" resourceName="71995" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1264">Задачи</a></li> <li><a href="/contest/1264/submit">Отослать</a></li> <li><a href="/contest/1264/my">Мои посылки</a></li> <li><a href="/contest/1264/status">Статус</a></li> <li><a href="/contest/1264/hacks">Взломы</a></li> <li><a href="/contest/1264/room/1">Комната</a></li> <li><a href="/contest/1264/standings">Положение</a></li> <li><a href="/contest/1264/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_1305bd655677eebafaafe8f9ce2d89ddf7760126"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Beautiful Regional Contest</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вот и подошел к концу Beautiful Regional Contest (BeRC)! В соревновании приняли участие $$$n$$$ студентов. Уже известна таблица финальных результатов — участник на $$$i$$$-м месте решил $$$p_i$$$ задач. Так как в первую очередь участники упорядочиваются по количеству решенных задач, то $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Помогите жюри распределить золотые, серебряные и бронзовые медали. Пусть их количества равны $$$g$$$, $$$s$$$ и $$$b$$$, соответственно. Вот перечень требований из регламента, которые все должны быть удовлетворены:</p><ul> <li> для каждого из трёх достоинств медалей хотя бы одна медаль должна быть вручена (то есть $$$g>0$$$, $$$s>0$$$ и $$$b>0$$$); </li><li> количество золотых медалей должно быть строго меньше и количества серебряных и количества бронзовых (то есть $$$g<s$$$ и $$$g<b$$$, но требований между $$$s$$$ и $$$b$$$ нет); </li><li> каждый золотой медалист должен решить строго больше задач, чем любой награждённый серебряной медалью; </li><li> каждый серебряный медалист должен решить строго больше задач, чем любой награждённый бронзовой медалью; </li><li> каждый бронзовый медалист должен решить строго больше задач, чем любой не награждённый медалью участник; </li><li> суммарное количество медалистов $$$g+s+b$$$ не должно превышать половину всех участников (например, если $$$n=21$$$, то можно наградить максимум $$$10$$$ участников, а если $$$n=26$$$, то можно наградить максимум $$$13$$$ участников). </li></ul><p>Жюри хочет наградить медалями суммарно <span class="tex-font-style-bf">наибольшее</span> количество $$$g+s+b$$$ участников так, чтобы все перечисленные пункты выполнялись. Помогите жюри найти такой способ награждения медалями.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10000$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка набора входных данных содержит целое число $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$) — количество участников BeRC. Вторая строка набора содержит последовательность целых чисел $$$p_1, p_2, \dots, p_n$$$ ($$$0 \le p_i \le 10^6$$$), где $$$p_i$$$ равно количеству задач, решенных $$$i$$$-м участником из таблицы финальных результатов. Значения $$$p_i$$$ отсортированы по невозрастанию, то есть $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$4\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк, $$$j$$$-я строка должна содержать ответ на $$$j$$$-й набор входных данных. </p><p>Ответ состоит из трёх неотрицательных целых чисел $$$g, s, b$$$.</p><ul> <li> Выведите $$$g=s=b=0$$$, если не существует способа наградить участников медалями, чтобы одновременно выполнялись все требования из условия. </li><li> В противном случае выведите три положительных числа $$$g, s, b$$$ — возможное количество золотых, серебряных и бронзовых медалей, соответственно. Сумма $$$g+s+b$$$ должна быть максимально возможной. Если ответов несколько, то выведите любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 12 5 4 4 3 2 2 1 1 1 1 1 1 4 4 3 2 1 1 1000000 20 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 32 64 64 63 58 58 58 58 58 37 37 37 37 34 34 28 28 28 28 28 28 24 24 19 17 17 17 17 16 16 16 16 11 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 3 0 0 0 0 0 0 2 5 3 2 6 6 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае можно наградить $$$1$$$ золотой, $$$2$$$ серебряными и $$$3$$$ бронзовыми медалями участников. Тогда золотую медаль получит участник, решившая $$$5$$$ задач, серебрянные медали получат участники, решившие $$$4$$$ задачи, бронзовые медали получат участники решившие $$$2$$$ или $$$3$$$ задачи. Участники, решившие $$$1$$$ задачу медаль не получат. Заметим, что все условия выполнены и раздать медали таким способом можно. Больше, чем $$$6$$$ медалей выдать невозможно, потому что нельзя выдать больше чем половину от количества участников медалей. Ответ $$$1$$$, $$$3$$$, $$$2$$$ также является верным в этом тестовом случае.</p><p>Во втором и третьем тестовых случаев нельзя так раздать медали, потому что медаль каждого достоинства должна получить хотя бы один участник, но количество выданных медалей не должно превышать половину от количества участников.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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1264B	1264	B	ru	B. Красивая последовательность	<div class="problem-statement"><div class="header"><div class="title">B. Красивая последовательность</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Последовательность целых чисел называется <span class="tex-font-style-it">красивой</span> если абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Более формально, последовательность $$$s_1, s_2, \ldots, s_{n}$$$ красивая, если $$$\|s_i - s_{i+1}\| = 1$$$ для всех $$$1 \leq i \leq n - 1$$$.</p><p>У Вани есть $$$a$$$ чисел равных $$$0$$$, $$$b$$$ чисел равных $$$1$$$, $$$c$$$ чисел равных $$$2$$$ и $$$d$$$ чисел равных $$$3$$$. Он хочет построить красивую последовательность используя все эти $$$a + b + c + d$$$ чисел.</p><p>Оказалось, что это непростая задача и Ваня не справился решить ее. Помогите Ване!</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке находятся четыре неотрицательных целых числа $$$a$$$, $$$b$$$, $$$c$$$ и $$$d$$$ ($$$0 < a+b+c+d \leq 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно построить красивую последовательность, удовлетворяющую ограничениям, выведите «<span class="tex-font-style-tt">NO</span>» (без кавычек) в единственной строке.</p><p>Иначе, выведите «<span class="tex-font-style-tt">YES</span>» (без кавычек) в первой строке. Затем, во второй строке выведите $$$a + b + c + d$$$ целых чисел, разделенных пробелом — найденная красивая последовательность. Среди выведенных чисел должно быть ровно $$$a$$$ чисел, равных $$$0$$$, ровно $$$b$$$ чисел, равных $$$1$$$, ровно $$$c$$$ чисел, равных $$$2$$$ и ровно $$$d$$$ чисел, равных $$$3$$$.</p><p>Если существует несколько возможных ответов, вы можете вывести любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES 0 1 0 1 2 3 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 2 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, легко заметить, что последовательность красивая, потому что абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Также, в последовательности ровно два числа, равных $$$0$$$, $$$1$$$, $$$2$$$ и ровно одно число, равное $$$3$$$.</p><p>Можно доказать, что невозможно построить красивые последовательности во втором и третьем тесте.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="08d6f4e5ede01d3e0fe63cfdfd48093e"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="337a0e015c33f3897d8e4c6fe97db662db404257"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1264/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); params[key] = value; } }); $.post(dataPageUrl, params, function (result) { if (result["success"] !== "true") { Codeforces.showMessage("Не удалось сохранить состояние блока."); } }, "json"); return false; }); }) </script> </div> <div class="roundbox sidebox borderTopRound " style=""> <div class="caption titled">→ Теги задачи <div class="top-links"> </div> </div> <div style="padding: 0.5em;"> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Жадные алгоритмы"> жадные алгоритмы </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Конструктивные алгоритмы"> конструктив </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Перебор"> перебор </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1900 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='08d6f4e5ede01d3e0fe63cfdfd48093e'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="486701"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='08d6f4e5ede01d3e0fe63cfdfd48093e'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="486701"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9998" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71995" title="71995" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10016" resourceName="71995" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1264">Задачи</a></li> <li><a href="/contest/1264/submit">Отослать</a></li> <li><a href="/contest/1264/my">Мои посылки</a></li> <li><a href="/contest/1264/status">Статус</a></li> <li><a href="/contest/1264/hacks">Взломы</a></li> <li><a href="/contest/1264/room/1">Комната</a></li> <li><a href="/contest/1264/standings">Положение</a></li> <li><a href="/contest/1264/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_c64d42b63f6c5c590e90901e10a404f203ee6a52"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Красивая последовательность</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Последовательность целых чисел называется <span class="tex-font-style-it">красивой</span> если абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Более формально, последовательность $$$s_1, s_2, \ldots, s_{n}$$$ красивая, если $$$\|s_i - s_{i+1}\| = 1$$$ для всех $$$1 \leq i \leq n - 1$$$.</p><p>У Вани есть $$$a$$$ чисел равных $$$0$$$, $$$b$$$ чисел равных $$$1$$$, $$$c$$$ чисел равных $$$2$$$ и $$$d$$$ чисел равных $$$3$$$. Он хочет построить красивую последовательность используя все эти $$$a + b + c + d$$$ чисел.</p><p>Оказалось, что это непростая задача и Ваня не справился решить ее. Помогите Ване!</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке находятся четыре неотрицательных целых числа $$$a$$$, $$$b$$$, $$$c$$$ и $$$d$$$ ($$$0 < a+b+c+d \leq 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно построить красивую последовательность, удовлетворяющую ограничениям, выведите «<span class="tex-font-style-tt">NO</span>» (без кавычек) в единственной строке.</p><p>Иначе, выведите «<span class="tex-font-style-tt">YES</span>» (без кавычек) в первой строке. Затем, во второй строке выведите $$$a + b + c + d$$$ целых чисел, разделенных пробелом — найденная красивая последовательность. Среди выведенных чисел должно быть ровно $$$a$$$ чисел, равных $$$0$$$, ровно $$$b$$$ чисел, равных $$$1$$$, ровно $$$c$$$ чисел, равных $$$2$$$ и ровно $$$d$$$ чисел, равных $$$3$$$.</p><p>Если существует несколько возможных ответов, вы можете вывести любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES 0 1 0 1 2 3 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 2 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, легко заметить, что последовательность красивая, потому что абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Также, в последовательности ровно два числа, равных $$$0$$$, $$$1$$$, $$$2$$$ и ровно одно число, равное $$$3$$$.</p><p>Можно доказать, что невозможно построить красивые последовательности во втором и третьем тесте.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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1264C	1264	C	ru	C. Красивые зеркала с запросами	<div class="problem-statement"><div class="header"><div class="title">C. Красивые зеркала с запросами</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Creatnx есть $$$n$$$ зеркал, пронумерованных от $$$1$$$ до $$$n$$$. Каждый день Creatnx спрашивает ровно одно зеркало «Красивый ли я?». $$$i$$$-е зеркало скажет Creatnx, что он красивый с вероятностью $$$\frac{p_i}{100}$$$ для всех $$$1 \le i \le n$$$.</p><p><span class="tex-font-style-bf">Некоторые зеркала называются чекпойнтами</span>. Изначально, только $$$1$$$-е зеркало является чекпойнтом. Это зеркало будет оставаться чекпойнтом все время.</p><p>Creatnx спрашивает зеркала одно за другим, начиная с $$$1$$$-о зеркала. Каждый день, если он спрашивает $$$i$$$-е зеркало, есть две возможности:</p><ul> <li> $$$i$$$-е зеркало скажет Creatnx, что он красивый. В этом случае, если $$$i = n$$$ Creatnx остановится и станет счастливым, иначе он продолжит спрашивать $$$i+1$$$-е зеркало на следующий день; </li><li> В другом случае Creatnx очень расстроится. На следующий день, Creatnx начнет спрашивать <span class="tex-font-style-bf">зеркало с максимальным номером, являющееся чекпойнтом, с номером не больше чем $$$i$$$</span>. </li></ul><p><span class="tex-font-style-bf">Иногда происходят следующие изменения: некоторые зеркала становятся чекпойнтами и некоторые зеркала перестают быть чекпойнтами</span>. Вам дано $$$q$$$ запросов, каждый запрос задается номером зеркала $$$u$$$: если $$$u$$$-е зеркало не было чекпойнтом, тогда мы делаем его чекпойнтом. Иначе, $$$u$$$-е зеркало перестает быть чекпойнтом.</p><p>После каждого запроса, вам нужно посчитать <a href="https://ru.wikipedia.org/wiki/Математическое_ожидание">математическое ожидание</a> количества дней, до того как Creatnx станет счастливым.</p><p>Эти числа нужно найти по модулю $$$998244353$$$. Формально, пусть $$$M = 998244353$$$. Можно показать, что ответ может быть представлен в виде несократимой дроби $$$\frac{p}{q}$$$, где $$$p$$$ и $$$q$$$ целые числа и $$$q \not \equiv 0 \pmod{M}$$$. Выведите целое число, равное $$$p \cdot q^{-1} \bmod M$$$. Другими словами, выведите такое целое число $$$x$$$, что $$$0 \le x < M$$$ и $$$x \cdot q \equiv p \pmod{M}$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находятся два целых числа $$$n$$$, $$$q$$$ ($$$2 \leq n, q \le 2 \cdot 10^5$$$) — количество зеркал и запросов.</p><p>Во второй строке находится $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \leq p_i \leq 100$$$).</p><p>Каждая из следующих $$$q$$$ строк содержит единственное целое число $$$u$$$ ($$$2 \leq u \leq n$$$) — очередной запрос.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$q$$$ целых чисел — ответ на задачу после каждого запроса, взятый по модулю $$$998244353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 50 50 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 10 20 30 40 50 2 3 4 5 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 117 665496274 332748143 831870317 499122211 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте после первого запроса, первое и второе зеркала являются чекпойнтами. Creatnx будет спрашивать первое зеркало, пока оно не скажет, что он красивый, после этого он будет спрашивать второе зеркало, пока оно не скажет, что он красивый, потому что оно является чекпойнтом. После этого он станет счастливым. Вероятности, что зеркала скажут, что он красивый равны $$$\frac{1}{2}$$$. Поэтому математическое ожидание количества дней, пока одно зеркало скажет, что он красивый равно $$$2$$$ и ответ равен $$$4 = 2 + 2$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="f1f8dedbebeb5a623adf410fd5c560f8"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - C - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="337a0e015c33f3897d8e4c6fe97db662db404257"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - C - Codeforces</title> <meta name="description" content="Codeforces. 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 2400 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='f1f8dedbebeb5a623adf410fd5c560f8'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="486703"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='f1f8dedbebeb5a623adf410fd5c560f8'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="486703"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9998" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71995" title="71995" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10016" resourceName="71995" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1264">Задачи</a></li> <li><a href="/contest/1264/submit">Отослать</a></li> <li><a href="/contest/1264/my">Мои посылки</a></li> <li><a href="/contest/1264/status">Статус</a></li> <li><a href="/contest/1264/hacks">Взломы</a></li> <li><a href="/contest/1264/room/1">Комната</a></li> <li><a href="/contest/1264/standings">Положение</a></li> <li><a href="/contest/1264/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_f0f2ff21c5637bbd3b4c8fe86766168f781edd28"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Красивые зеркала с запросами</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Creatnx есть $$$n$$$ зеркал, пронумерованных от $$$1$$$ до $$$n$$$. Каждый день Creatnx спрашивает ровно одно зеркало «Красивый ли я?». $$$i$$$-е зеркало скажет Creatnx, что он красивый с вероятностью $$$\frac{p_i}{100}$$$ для всех $$$1 \le i \le n$$$.</p><p><span class="tex-font-style-bf">Некоторые зеркала называются чекпойнтами</span>. Изначально, только $$$1$$$-е зеркало является чекпойнтом. Это зеркало будет оставаться чекпойнтом все время.</p><p>Creatnx спрашивает зеркала одно за другим, начиная с $$$1$$$-о зеркала. Каждый день, если он спрашивает $$$i$$$-е зеркало, есть две возможности:</p><ul> <li> $$$i$$$-е зеркало скажет Creatnx, что он красивый. В этом случае, если $$$i = n$$$ Creatnx остановится и станет счастливым, иначе он продолжит спрашивать $$$i+1$$$-е зеркало на следующий день; </li><li> В другом случае Creatnx очень расстроится. На следующий день, Creatnx начнет спрашивать <span class="tex-font-style-bf">зеркало с максимальным номером, являющееся чекпойнтом, с номером не больше чем $$$i$$$</span>. </li></ul><p><span class="tex-font-style-bf">Иногда происходят следующие изменения: некоторые зеркала становятся чекпойнтами и некоторые зеркала перестают быть чекпойнтами</span>. Вам дано $$$q$$$ запросов, каждый запрос задается номером зеркала $$$u$$$: если $$$u$$$-е зеркало не было чекпойнтом, тогда мы делаем его чекпойнтом. Иначе, $$$u$$$-е зеркало перестает быть чекпойнтом.</p><p>После каждого запроса, вам нужно посчитать <a href="https://ru.wikipedia.org/wiki/Математическое_ожидание">математическое ожидание</a> количества дней, до того как Creatnx станет счастливым.</p><p>Эти числа нужно найти по модулю $$$998244353$$$. Формально, пусть $$$M = 998244353$$$. Можно показать, что ответ может быть представлен в виде несократимой дроби $$$\frac{p}{q}$$$, где $$$p$$$ и $$$q$$$ целые числа и $$$q \not \equiv 0 \pmod{M}$$$. Выведите целое число, равное $$$p \cdot q^{-1} \bmod M$$$. Другими словами, выведите такое целое число $$$x$$$, что $$$0 \le x < M$$$ и $$$x \cdot q \equiv p \pmod{M}$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находятся два целых числа $$$n$$$, $$$q$$$ ($$$2 \leq n, q \le 2 \cdot 10^5$$$) — количество зеркал и запросов.</p><p>Во второй строке находится $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \leq p_i \leq 100$$$).</p><p>Каждая из следующих $$$q$$$ строк содержит единственное целое число $$$u$$$ ($$$2 \leq u \leq n$$$) — очередной запрос.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$q$$$ целых чисел — ответ на задачу после каждого запроса, взятый по модулю $$$998244353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 50 50 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 10 20 30 40 50 2 3 4 5 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 117 665496274 332748143 831870317 499122211 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте после первого запроса, первое и второе зеркала являются чекпойнтами. Creatnx будет спрашивать первое зеркало, пока оно не скажет, что он красивый, после этого он будет спрашивать второе зеркало, пока оно не скажет, что он красивый, потому что оно является чекпойнтом. После этого он станет счастливым. Вероятности, что зеркала скажут, что он красивый равны $$$\frac{1}{2}$$$. Поэтому математическое ожидание количества дней, пока одно зеркало скажет, что он красивый равно $$$2$$$ и ответ равен $$$4 = 2 + 2$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); 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1264D1	1264	D1	ru	D1. Красивая скобочная последовательность (простая версия)	<div class="problem-statement"><div class="header"><div class="title">D1. Красивая скобочная последовательность (простая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это простая версия этой задачи. Единственное отличие в ограничении на $$$n$$$ — длине входной строки. В этой версии, $$$1 \leq n \leq 2000$$$. Сложная версия этой задачи не предлагается в раунде для второго дивизиона.</span></p><p>Определим правильную скобочную последовательность и ее глубину следующим образом:</p><ul> <li> Пустая строка это правильная скобочная последовательность глубины $$$0$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» это правильная скобочная последовательность глубины $$$d$$$ тогда «<span class="tex-font-style-tt">(s)</span>» это правильная скобочная последовательность глубины $$$d + 1$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» и «<span class="tex-font-style-tt">t</span>» это две правильные скобочные последовательности тогда их конкатенация «<span class="tex-font-style-tt">st</span>» это правильная скобочная последовательность с глубиной равной максимальной из глубин $$$s$$$ и $$$t$$$. </li></ul><p>Для (не обязательно правильной) скобочной последовательности $$$s$$$ мы определяем ее глубину как максимальную глубину любой <span class="tex-font-style-bf">правильной</span> скобочной последовательности, которая может быть получена с помощью удаления некоторых символов из $$$s$$$ (возможно нуля). Например, скобочная последовательность $$$s = $$$«<span class="tex-font-style-tt">())(())</span>» имеет глубину $$$2$$$, потому что при удалении третьего символа мы получим правильную скобочную последовательность «<span class="tex-font-style-tt">()(())</span>» глубины $$$2$$$.</p><p>Дана строка $$$a$$$, состоящая из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Рассмотрим все (не обязательно правильные) скобочные последовательности, получающиеся заменой всех символов '<span class="tex-font-style-tt">?</span>' в строке $$$a$$$ на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'. Посчитайте сумму глубин всех таких скобочных последовательностей. Так как это число может быть очень большим, найдите его по модулю $$$998244353$$$.</p><p><span class="tex-font-style-bf">Взломы</span> в первом дивизионе по этой задачи могут быть сделаны, только если простая и сложная версия этой задачи сданы.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Единственная строка содержит непустую строку, состоящую только из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Длина строки не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> ?? </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> (?(?)) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">((</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">))</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">)(</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">()</span>». Ее глубина $$$1$$$. </li></ul><p>Поэтому, ответ равен $$$1 = 0 + 0 + 0 + 1$$$.</p><p>Во втором тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">(((())</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">()()))</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">((()))</span>». Ее глубина $$$3$$$; </li><li> «<span class="tex-font-style-tt">()(())</span>». Ее глубина $$$2$$$. </li></ul><p>Поэтому, ответ равен $$$9 = 2 + 2 + 3 + 2$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="e6d66b3966aaa1f613f66b4fb990afb4"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D1 - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="337a0e015c33f3897d8e4c6fe97db662db404257"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D1 - Codeforces</title> <meta name="description" content="Codeforces. 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 2600 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='e6d66b3966aaa1f613f66b4fb990afb4'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="486704"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='e6d66b3966aaa1f613f66b4fb990afb4'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="486704"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9998" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71995" title="71995" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10016" resourceName="71995" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1264">Задачи</a></li> <li><a href="/contest/1264/submit">Отослать</a></li> <li><a href="/contest/1264/my">Мои посылки</a></li> <li><a href="/contest/1264/status">Статус</a></li> <li><a href="/contest/1264/hacks">Взломы</a></li> <li><a href="/contest/1264/room/1">Комната</a></li> <li><a href="/contest/1264/standings">Положение</a></li> <li><a href="/contest/1264/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D1" data-uuid="ps_56b0aa8989b5bb84454ab37de8331a8df2ff7c84"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D1. Красивая скобочная последовательность (простая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это простая версия этой задачи. Единственное отличие в ограничении на $$$n$$$ — длине входной строки. В этой версии, $$$1 \leq n \leq 2000$$$. Сложная версия этой задачи не предлагается в раунде для второго дивизиона.</span></p><p>Определим правильную скобочную последовательность и ее глубину следующим образом:</p><ul> <li> Пустая строка это правильная скобочная последовательность глубины $$$0$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» это правильная скобочная последовательность глубины $$$d$$$ тогда «<span class="tex-font-style-tt">(s)</span>» это правильная скобочная последовательность глубины $$$d + 1$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» и «<span class="tex-font-style-tt">t</span>» это две правильные скобочные последовательности тогда их конкатенация «<span class="tex-font-style-tt">st</span>» это правильная скобочная последовательность с глубиной равной максимальной из глубин $$$s$$$ и $$$t$$$. </li></ul><p>Для (не обязательно правильной) скобочной последовательности $$$s$$$ мы определяем ее глубину как максимальную глубину любой <span class="tex-font-style-bf">правильной</span> скобочной последовательности, которая может быть получена с помощью удаления некоторых символов из $$$s$$$ (возможно нуля). Например, скобочная последовательность $$$s = $$$«<span class="tex-font-style-tt">())(())</span>» имеет глубину $$$2$$$, потому что при удалении третьего символа мы получим правильную скобочную последовательность «<span class="tex-font-style-tt">()(())</span>» глубины $$$2$$$.</p><p>Дана строка $$$a$$$, состоящая из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Рассмотрим все (не обязательно правильные) скобочные последовательности, получающиеся заменой всех символов '<span class="tex-font-style-tt">?</span>' в строке $$$a$$$ на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'. Посчитайте сумму глубин всех таких скобочных последовательностей. Так как это число может быть очень большим, найдите его по модулю $$$998244353$$$.</p><p><span class="tex-font-style-bf">Взломы</span> в первом дивизионе по этой задачи могут быть сделаны, только если простая и сложная версия этой задачи сданы.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Единственная строка содержит непустую строку, состоящую только из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Длина строки не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> ?? </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> (?(?)) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">((</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">))</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">)(</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">()</span>». Ее глубина $$$1$$$. </li></ul><p>Поэтому, ответ равен $$$1 = 0 + 0 + 0 + 1$$$.</p><p>Во втором тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">(((())</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">()()))</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">((()))</span>». Ее глубина $$$3$$$; </li><li> «<span class="tex-font-style-tt">()(())</span>». Ее глубина $$$2$$$. </li></ul><p>Поэтому, ответ равен $$$9 = 2 + 2 + 3 + 2$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D1]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); 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1264D2	1264	D2	ru	D2. Красивая скобочная последовательность (сложная версия)	<div class="problem-statement"><div class="header"><div class="title">D2. Красивая скобочная последовательность (сложная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это сложная версия этой задачи. Единственное отличие в ограничении на $$$n$$$ — длине входной строки. В этой версии, $$$1 \leq n \leq 10^6$$$.</span></p><p>Определим правильную скобочную последовательность и ее глубину следующим образом:</p><ul> <li> Пустая строка это правильная скобочная последовательность глубины $$$0$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» это правильная скобочная последовательность глубины $$$d$$$ тогда «<span class="tex-font-style-tt">(s)</span>» это правильная скобочная последовательность глубины $$$d + 1$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» и «<span class="tex-font-style-tt">t</span>» это две правильные скобочные последовательности тогда их конкатенация «<span class="tex-font-style-tt">st</span>» это правильная скобочная последовательность с глубиной равной максимальной из глубин $$$s$$$ и $$$t$$$. </li></ul><p>Для (не обязательно правильной) скобочной последовательности $$$s$$$ мы определяем ее глубину как максимальную глубину любой <span class="tex-font-style-bf">правильной</span> скобочной последовательности, которая может быть получена с помощью удаления некоторых символов из $$$s$$$ (возможно нуля). Например, скобочная последовательность $$$s = $$$«<span class="tex-font-style-tt">())(())</span>» имеет глубину $$$2$$$, потому что при удалении третьего символа мы получим правильную скобочную последовательность «<span class="tex-font-style-tt">()(())</span>» глубины $$$2$$$.</p><p>Дана строка $$$a$$$, состоящая из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Рассмотрим все (не обязательно правильные) скобочные последовательности, получающиеся заменой всех символов '<span class="tex-font-style-tt">?</span>' в строке $$$a$$$ на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'. Посчитайте сумму глубин всех таких скобочных последовательностей. Так как это число может быть очень большим, найдите его по модулю $$$998244353$$$.</p><p><span class="tex-font-style-bf">Взломы</span> по этой задачи могут быть сделаны, только если простая и сложная версия этой задачи сданы.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Единственная строка содержит непустую строку, состоящую только из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Длина строки не превосходит $$$10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> ?? </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> (?(?)) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">((</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">))</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">)(</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">()</span>». Ее глубина $$$1$$$. </li></ul><p>Поэтому, ответ равен $$$1 = 0 + 0 + 0 + 1$$$.</p><p>Во втором тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">(((())</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">()()))</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">((()))</span>». Ее глубина $$$3$$$; </li><li> «<span class="tex-font-style-tt">()(())</span>». Ее глубина $$$2$$$. </li></ul><p>Поэтому, ответ равен $$$9 = 2 + 2 + 3 + 2$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="d5df71bc847c2d01548879e1183165e0"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D2 - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="337a0e015c33f3897d8e4c6fe97db662db404257"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D2 - Codeforces</title> <meta name="description" content="Codeforces. 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background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 2900 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='d5df71bc847c2d01548879e1183165e0'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="486705"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='d5df71bc847c2d01548879e1183165e0'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="486705"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9998" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71995" title="71995" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10016" resourceName="71995" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1264">Задачи</a></li> <li><a href="/contest/1264/submit">Отослать</a></li> <li><a href="/contest/1264/my">Мои посылки</a></li> <li><a href="/contest/1264/status">Статус</a></li> <li><a href="/contest/1264/hacks">Взломы</a></li> <li><a href="/contest/1264/room/1">Комната</a></li> <li><a href="/contest/1264/standings">Положение</a></li> <li><a href="/contest/1264/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D2" data-uuid="ps_d2ad5b0b4055f21bed600722b146ed755bd82a2b"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D2. Красивая скобочная последовательность (сложная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это сложная версия этой задачи. Единственное отличие в ограничении на $$$n$$$ — длине входной строки. В этой версии, $$$1 \leq n \leq 10^6$$$.</span></p><p>Определим правильную скобочную последовательность и ее глубину следующим образом:</p><ul> <li> Пустая строка это правильная скобочная последовательность глубины $$$0$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» это правильная скобочная последовательность глубины $$$d$$$ тогда «<span class="tex-font-style-tt">(s)</span>» это правильная скобочная последовательность глубины $$$d + 1$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» и «<span class="tex-font-style-tt">t</span>» это две правильные скобочные последовательности тогда их конкатенация «<span class="tex-font-style-tt">st</span>» это правильная скобочная последовательность с глубиной равной максимальной из глубин $$$s$$$ и $$$t$$$. </li></ul><p>Для (не обязательно правильной) скобочной последовательности $$$s$$$ мы определяем ее глубину как максимальную глубину любой <span class="tex-font-style-bf">правильной</span> скобочной последовательности, которая может быть получена с помощью удаления некоторых символов из $$$s$$$ (возможно нуля). Например, скобочная последовательность $$$s = $$$«<span class="tex-font-style-tt">())(())</span>» имеет глубину $$$2$$$, потому что при удалении третьего символа мы получим правильную скобочную последовательность «<span class="tex-font-style-tt">()(())</span>» глубины $$$2$$$.</p><p>Дана строка $$$a$$$, состоящая из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Рассмотрим все (не обязательно правильные) скобочные последовательности, получающиеся заменой всех символов '<span class="tex-font-style-tt">?</span>' в строке $$$a$$$ на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'. Посчитайте сумму глубин всех таких скобочных последовательностей. Так как это число может быть очень большим, найдите его по модулю $$$998244353$$$.</p><p><span class="tex-font-style-bf">Взломы</span> по этой задачи могут быть сделаны, только если простая и сложная версия этой задачи сданы.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Единственная строка содержит непустую строку, состоящую только из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Длина строки не превосходит $$$10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> ?? </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> (?(?)) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">((</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">))</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">)(</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">()</span>». Ее глубина $$$1$$$. </li></ul><p>Поэтому, ответ равен $$$1 = 0 + 0 + 0 + 1$$$.</p><p>Во втором тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">(((())</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">()()))</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">((()))</span>». Ее глубина $$$3$$$; </li><li> «<span class="tex-font-style-tt">()(())</span>». Ее глубина $$$2$$$. </li></ul><p>Поэтому, ответ равен $$$9 = 2 + 2 + 3 + 2$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D2]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); 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1264E	1264	E	ru	E. Красивая лига	<div class="problem-statement"><div class="header"><div class="title">E. Красивая лига</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Футбольная лига недавно стартовала в Красивой долине. Всего $$$n$$$ команд участвует в этой лиге. Пронумеруем их для удобства целыми числами от $$$1$$$ до $$$n$$$.</p><p>Всего будет проведено ровно $$$\frac{n(n-1)}{2}$$$ матчей: каждая команда будет играть со всеми оставшимися командами ровно по одному разу. В каждом матче всегда есть победившая и проигравшая команда, ничьих не бывает.</p><p>После того, как все матчи будут сыграны, организаторы посчитают количество <span class="tex-font-style-it">красивых троек</span>. Тройка команд $$$(A, B, C)$$$ называется красивой, если команда $$$A$$$ победила команду $$$B$$$, команда $$$B$$$ победила команду $$$C$$$ и команда $$$C$$$ победила команду $$$A$$$. Мы рассматриваем только тройки различных команд, порядок команд внутри тройки имеет значение.</p><p>Красотой лиги назовем количество красивых троек.</p><p>В данный момент, $$$m$$$ матчей уже было проведено и их результаты уже известны.</p><p>Какая максимальная красота лиги может быть в итоге, после проведения оставшихся матчей? Также найдите возможные результаты оставшихся $$$\frac{n(n-1)}{2} - m$$$ матчей, при которых красота лиги максимально возможная.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится два целых числа $$$n, m$$$ ($$$3 \leq n \leq 50, 0 \leq m \leq \frac{n(n-1)}{2}$$$) — количество команд в футбольной лиге и количество матчей, которое уже проведено.</p><p>Следующие $$$m$$$ строк содержат два целых числа $$$u$$$ и $$$v$$$ ($$$1 \leq u, v \leq n$$$, $$$u \neq v$$$), означающих, что команда с номером $$$u$$$ победила команду с номером $$$v$$$. Гарантируется, что каждая неупорядоченная пара команд встретится не более одного раза.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ строк, в каждой из них строку, содержащую ровно $$$n$$$ символов. Каждый символ должен быть равен $$$0$$$ или $$$1$$$.</p><p>Обозначим за $$$a_{ij}$$$ $$$j$$$-е число в $$$i$$$-й строке. Для всех $$$1 \leq i \leq n$$$ должно быть выполнено $$$a_{ii} = 0$$$. Для всех пар команд $$$i \neq j$$$ число $$$a_{ij}$$$ обозначает результат матча между командой с номером $$$i$$$ и командой с номером $$$j$$$:</p><ul> <li> Если $$$a_{ij}$$$ это $$$1$$$, то $$$i$$$-я команда победила $$$j$$$-ю команду; </li><li> Иначе $$$j$$$-я команда победила $$$i$$$-ю команду; </li><li> Также, должно быть выполнено, что $$$a_{ij} + a_{ji} = 1$$$. </li></ul><p>Также заметьте, что результаты $$$m$$$ матчей, которые уже были сыграны, не могут быть изменены в вашей лиге.</p><p>Красота лиги, представленной в качестве ответа должна быть максимально возможной. Если существует несколько лиг, подходящих под условия и красота которых максимальна, вы можете найти любую из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 1 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 010 001 100 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 2 1 2 1 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0110 0001 0100 1010 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Красота лиги в первом тесте равна $$$3$$$, потому что есть ровно три красивые тройки команд: $$$(1, 2, 3)$$$, $$$(2, 3, 1)$$$, $$$(3, 1, 2)$$$.</p><p>Красота лиги во втором тесте равна $$$6$$$ потому что существует шесть красивых троек команд: $$$(1, 2, 4)$$$, $$$(2, 4, 1)$$$, $$$(4, 1, 2)$$$, $$$(2, 4, 3)$$$, $$$(4, 3, 2)$$$, $$$(3, 2, 4)$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="ef738e46f5928c62b0cf204cc5103106"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="337a0e015c33f3897d8e4c6fe97db662db404257"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9998" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71995" title="71995" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10016" resourceName="71995" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1264">Задачи</a></li> <li><a href="/contest/1264/submit">Отослать</a></li> <li><a href="/contest/1264/my">Мои посылки</a></li> <li><a href="/contest/1264/status">Статус</a></li> <li><a href="/contest/1264/hacks">Взломы</a></li> <li><a href="/contest/1264/room/1">Комната</a></li> <li><a href="/contest/1264/standings">Положение</a></li> <li><a href="/contest/1264/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_6a8ed35113d75a49ae7cb560c86c6a9d224874da"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Красивая лига</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Футбольная лига недавно стартовала в Красивой долине. Всего $$$n$$$ команд участвует в этой лиге. Пронумеруем их для удобства целыми числами от $$$1$$$ до $$$n$$$.</p><p>Всего будет проведено ровно $$$\frac{n(n-1)}{2}$$$ матчей: каждая команда будет играть со всеми оставшимися командами ровно по одному разу. В каждом матче всегда есть победившая и проигравшая команда, ничьих не бывает.</p><p>После того, как все матчи будут сыграны, организаторы посчитают количество <span class="tex-font-style-it">красивых троек</span>. Тройка команд $$$(A, B, C)$$$ называется красивой, если команда $$$A$$$ победила команду $$$B$$$, команда $$$B$$$ победила команду $$$C$$$ и команда $$$C$$$ победила команду $$$A$$$. Мы рассматриваем только тройки различных команд, порядок команд внутри тройки имеет значение.</p><p>Красотой лиги назовем количество красивых троек.</p><p>В данный момент, $$$m$$$ матчей уже было проведено и их результаты уже известны.</p><p>Какая максимальная красота лиги может быть в итоге, после проведения оставшихся матчей? Также найдите возможные результаты оставшихся $$$\frac{n(n-1)}{2} - m$$$ матчей, при которых красота лиги максимально возможная.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится два целых числа $$$n, m$$$ ($$$3 \leq n \leq 50, 0 \leq m \leq \frac{n(n-1)}{2}$$$) — количество команд в футбольной лиге и количество матчей, которое уже проведено.</p><p>Следующие $$$m$$$ строк содержат два целых числа $$$u$$$ и $$$v$$$ ($$$1 \leq u, v \leq n$$$, $$$u \neq v$$$), означающих, что команда с номером $$$u$$$ победила команду с номером $$$v$$$. Гарантируется, что каждая неупорядоченная пара команд встретится не более одного раза.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ строк, в каждой из них строку, содержащую ровно $$$n$$$ символов. Каждый символ должен быть равен $$$0$$$ или $$$1$$$.</p><p>Обозначим за $$$a_{ij}$$$ $$$j$$$-е число в $$$i$$$-й строке. Для всех $$$1 \leq i \leq n$$$ должно быть выполнено $$$a_{ii} = 0$$$. Для всех пар команд $$$i \neq j$$$ число $$$a_{ij}$$$ обозначает результат матча между командой с номером $$$i$$$ и командой с номером $$$j$$$:</p><ul> <li> Если $$$a_{ij}$$$ это $$$1$$$, то $$$i$$$-я команда победила $$$j$$$-ю команду; </li><li> Иначе $$$j$$$-я команда победила $$$i$$$-ю команду; </li><li> Также, должно быть выполнено, что $$$a_{ij} + a_{ji} = 1$$$. </li></ul><p>Также заметьте, что результаты $$$m$$$ матчей, которые уже были сыграны, не могут быть изменены в вашей лиге.</p><p>Красота лиги, представленной в качестве ответа должна быть максимально возможной. Если существует несколько лиг, подходящих под условия и красота которых максимальна, вы можете найти любую из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 1 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 010 001 100 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 2 1 2 1 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0110 0001 0100 1010 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Красота лиги в первом тесте равна $$$3$$$, потому что есть ровно три красивые тройки команд: $$$(1, 2, 3)$$$, $$$(2, 3, 1)$$$, $$$(3, 1, 2)$$$.</p><p>Красота лиги во втором тесте равна $$$6$$$ потому что существует шесть красивых троек команд: $$$(1, 2, 4)$$$, $$$(2, 4, 1)$$$, $$$(4, 1, 2)$$$, $$$(2, 4, 3)$$$, $$$(4, 3, 2)$$$, $$$(3, 2, 4)$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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1264F	1264	F	ru	F. Красивая задача с числами Фиббоначи	<div class="problem-statement"><div class="header"><div class="title">F. Красивая задача с числами Фиббоначи</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Известные числа Фиббоначи $$$F_0, F_1, F_2,\ldots $$$ определяются следующим образом: </p><ul> <li> $$$F_0 = 0, F_1 = 1$$$. </li><li> Для всех $$$i \geq 2$$$: $$$F_i = F_{i - 1} + F_{i - 2}$$$. </li></ul><p>Дана возрастающая арифметическая прогрессия положительных целых чисел с $$$n$$$ числами $$$(a, a + d, a + 2\cdot d,\ldots, a + (n - 1)\cdot d)$$$.</p><p>Вы должны найди другую возрастающую арифметическую прогрессию положительных целых чисел с $$$n$$$ числами $$$(b, b + e, b + 2\cdot e,\ldots, b + (n - 1)\cdot e)$$$, такую что:</p><ul> <li> $$$0 < b, e < 2^{64}$$$, </li><li> для всех $$$0\leq i < n$$$, запись числа $$$a + i \cdot d$$$ в десятичной системе счисления встречается как подстрока в строке, образованной последними $$$18$$$-ю цифрами десятичной записи числа $$$F_{b + i \cdot e}$$$ (если это число содержит меньше чем $$$18$$$ цифр, тогда рассмотрим все его цифры). </li></ul></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит три положительных целых числа $$$n$$$, $$$a$$$, $$$d$$$ ($$$1 \leq n, a, d, a + (n - 1) \cdot d < 10^6$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если не существует подходящей арифметической прогрессии, выведите единственное число $$$-1$$$.</p><p>Иначе, выведите два целых числа $$$b$$$ и $$$e$$$, разделенных пробелом в единственной строке ($$$0 < b, e < 2^{64}$$$).</p><p>Если существует несколько возможных ответов, вы можете найти любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 1</pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 19 5 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем выбрать $$$(b, e) = (2, 1)$$$, потому что $$$F_2 = 1, F_3 = 2, F_4 = 3$$$.</p><p>Во втором тесте, мы можем выбрать $$$(b, e) = (19, 5)$$$, потому что:</p><ul> <li> $$$F_{19} = 4181$$$ содержит $$$1$$$; </li><li> $$$F_{24} = 46368$$$ содержит $$$3$$$; </li><li> $$$F_{29} = 514229$$$ содержит $$$5$$$; </li><li> $$$F_{34} = 5702887$$$ содержит $$$7$$$; </li><li> $$$F_{39} = 63245986$$$ содержит $$$9$$$. </li></ul></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="da709707ddc4ff23fd013bea748735e6"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); 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Просто зарегистрируйтесь на дорешивание. </div> <div style="text-align:center;margin:1em;"> <form action="" method="post"><input type='hidden' name='csrf_token' value='da709707ddc4ff23fd013bea748735e6'/> <input type="hidden" name="action" value="registerForPractice"/> <input type="submit" name="submit" value="Зарегистрироваться" style="padding:0 0.5em;"> </form> </div> </div> </div> <div class="roundbox sidebox ContestVirtualFrame borderTopRound " style=""> <div class="caption titled">→ Виртуальное участие <i class="sidebar-caption-icon las la-angle-down"></i> <div class="top-links"> </div> </div> <div style=" " data-page-url="/data/sidebarFrames" > <div style="margin:1em;font-size:0.8em;"> Виртуальное соревнование – это способ прорешать прошедшее соревнование в режиме, максимально близком к участию во время его проведения. Поддерживается только ICPC режим для виртуальных соревнований. Если вы раньше видели эти задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1264/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9998" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71995" title="71995" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10016" resourceName="71995" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1264">Задачи</a></li> <li><a href="/contest/1264/submit">Отослать</a></li> <li><a href="/contest/1264/my">Мои посылки</a></li> <li><a href="/contest/1264/status">Статус</a></li> <li><a href="/contest/1264/hacks">Взломы</a></li> <li><a href="/contest/1264/room/1">Комната</a></li> <li><a href="/contest/1264/standings">Положение</a></li> <li><a href="/contest/1264/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_264f5f346bf2e6359132747b9de74955bf9ddbd3"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Красивая задача с числами Фиббоначи</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Известные числа Фиббоначи $$$F_0, F_1, F_2,\ldots $$$ определяются следующим образом: </p><ul> <li> $$$F_0 = 0, F_1 = 1$$$. </li><li> Для всех $$$i \geq 2$$$: $$$F_i = F_{i - 1} + F_{i - 2}$$$. </li></ul><p>Дана возрастающая арифметическая прогрессия положительных целых чисел с $$$n$$$ числами $$$(a, a + d, a + 2\cdot d,\ldots, a + (n - 1)\cdot d)$$$.</p><p>Вы должны найди другую возрастающую арифметическую прогрессию положительных целых чисел с $$$n$$$ числами $$$(b, b + e, b + 2\cdot e,\ldots, b + (n - 1)\cdot e)$$$, такую что:</p><ul> <li> $$$0 < b, e < 2^{64}$$$, </li><li> для всех $$$0\leq i < n$$$, запись числа $$$a + i \cdot d$$$ в десятичной системе счисления встречается как подстрока в строке, образованной последними $$$18$$$-ю цифрами десятичной записи числа $$$F_{b + i \cdot e}$$$ (если это число содержит меньше чем $$$18$$$ цифр, тогда рассмотрим все его цифры). </li></ul></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит три положительных целых числа $$$n$$$, $$$a$$$, $$$d$$$ ($$$1 \leq n, a, d, a + (n - 1) \cdot d < 10^6$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если не существует подходящей арифметической прогрессии, выведите единственное число $$$-1$$$.</p><p>Иначе, выведите два целых числа $$$b$$$ и $$$e$$$, разделенных пробелом в единственной строке ($$$0 < b, e < 2^{64}$$$).</p><p>Если существует несколько возможных ответов, вы можете найти любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 1</pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 19 5 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем выбрать $$$(b, e) = (2, 1)$$$, потому что $$$F_2 = 1, F_3 = 2, F_4 = 3$$$.</p><p>Во втором тесте, мы можем выбрать $$$(b, e) = (19, 5)$$$, потому что:</p><ul> <li> $$$F_{19} = 4181$$$ содержит $$$1$$$; </li><li> $$$F_{24} = 46368$$$ содержит $$$3$$$; </li><li> $$$F_{29} = 514229$$$ содержит $$$5$$$; </li><li> $$$F_{34} = 5702887$$$ содержит $$$7$$$; </li><li> $$$F_{39} = 63245986$$$ содержит $$$9$$$. </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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1265A	1265	A	ru	A. Красивая строка	<div class="problem-statement"><div class="header"><div class="title">A. Красивая строка</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Строка называется красивой, если никакие два последовательных символа строки не равны. Например, строки «<span class="tex-font-style-tt">ababcb</span>», «<span class="tex-font-style-tt">a</span>» и «<span class="tex-font-style-tt">abab</span>» красивые, тогда как «<span class="tex-font-style-tt">aaaaaa</span>», «<span class="tex-font-style-tt">abaa</span>» и «<span class="tex-font-style-tt">bb</span>» нет.</p><p>Ahcl хочет построить красивую строку. У него есть строка $$$s$$$, состоящая только из символов '<span class="tex-font-style-tt">a</span>', '<span class="tex-font-style-tt">b</span>', '<span class="tex-font-style-tt">c</span>' и '<span class="tex-font-style-tt">?</span>'. Ahcl должен поменять каждый символ '<span class="tex-font-style-tt">?</span>' на один из трех символов '<span class="tex-font-style-tt">a</span>', '<span class="tex-font-style-tt">b</span>' или '<span class="tex-font-style-tt">c</span>', так что получившаяся строка будет красивой. Помогите ему!</p><p>Более формально, после замены всех символов '<span class="tex-font-style-tt">?</span>', условие $$$s_i \neq s_{i+1}$$$ должно быть выполнено для всех $$$1 \leq i \leq \|s\| - 1$$$, где $$$\|s\|$$$ это длина строки $$$s$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится положительное целое число $$$t$$$ ($$$1 \leq t \leq 1000$$$) — количество тестовых случаев. Следующие $$$t$$$ строк содержат описания тестовых случаев.</p><p>Каждая строка содержит непустую строку $$$s$$$, состоящую только из символов '<span class="tex-font-style-tt">a</span>', '<span class="tex-font-style-tt">b</span>', '<span class="tex-font-style-tt">c</span>' и '<span class="tex-font-style-tt">?</span>'.</p><p>Гарантируется, что в каждом тестовом случае строка $$$s$$$ содержит хотя бы один символ '<span class="tex-font-style-tt">?</span>'. Сумма длин строк $$$s$$$ по всем тестовым случаям не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая во входных данных выведите ответ в следующем формате:</p><ul> <li> Если невозможно получить красивую строку, выведите «<span class="tex-font-style-tt">-1</span>» (без кавычек); </li><li> Иначе, выведите получившуюся красивую строку после замены всех символов '<span class="tex-font-style-tt">?</span>'. Если существует несколько возможных ответов, вы можете найти любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 a???cb a??bbc a?b?c </pre></div><div class="output"><div class="title">Выходные данные</div><pre> ababcb -1 acbac </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае, все возможные правильные ответы это «<span class="tex-font-style-tt">ababcb</span>», «<span class="tex-font-style-tt">abcacb</span>», «<span class="tex-font-style-tt">abcbcb</span>», «<span class="tex-font-style-tt">acabcb</span>» и «<span class="tex-font-style-tt">acbacb</span>». Два ответа «<span class="tex-font-style-tt">abcbab</span>» and «<span class="tex-font-style-tt">abaabc</span>» являются неправильными, потому что можно заменять только символы '<span class="tex-font-style-tt">?</span>' и получившаяся строка должна быть красивой.</p><p>Во втором тестовом случае, невозможно получить красивую строку, потому что $$$4$$$-й и $$$5$$$-й символы будут всегда совпадать.</p><p>В третьем тестовом случае, единственный возможный ответ это «<span class="tex-font-style-tt">acbac</span>».</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="586490de7c2e5ea40317d85f1ff222a7"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - A - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8b89ce15c5ae6df04df0e794aa5225c1d810ee6f"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - A - Codeforces</title> <meta name="description" content="Codeforces. 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_81266e03f95ea123fd3558f5eabe57cecbf1839f"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Красивая строка</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Строка называется красивой, если никакие два последовательных символа строки не равны. Например, строки «<span class="tex-font-style-tt">ababcb</span>», «<span class="tex-font-style-tt">a</span>» и «<span class="tex-font-style-tt">abab</span>» красивые, тогда как «<span class="tex-font-style-tt">aaaaaa</span>», «<span class="tex-font-style-tt">abaa</span>» и «<span class="tex-font-style-tt">bb</span>» нет.</p><p>Ahcl хочет построить красивую строку. У него есть строка $$$s$$$, состоящая только из символов '<span class="tex-font-style-tt">a</span>', '<span class="tex-font-style-tt">b</span>', '<span class="tex-font-style-tt">c</span>' и '<span class="tex-font-style-tt">?</span>'. Ahcl должен поменять каждый символ '<span class="tex-font-style-tt">?</span>' на один из трех символов '<span class="tex-font-style-tt">a</span>', '<span class="tex-font-style-tt">b</span>' или '<span class="tex-font-style-tt">c</span>', так что получившаяся строка будет красивой. Помогите ему!</p><p>Более формально, после замены всех символов '<span class="tex-font-style-tt">?</span>', условие $$$s_i \neq s_{i+1}$$$ должно быть выполнено для всех $$$1 \leq i \leq \|s\| - 1$$$, где $$$\|s\|$$$ это длина строки $$$s$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится положительное целое число $$$t$$$ ($$$1 \leq t \leq 1000$$$) — количество тестовых случаев. Следующие $$$t$$$ строк содержат описания тестовых случаев.</p><p>Каждая строка содержит непустую строку $$$s$$$, состоящую только из символов '<span class="tex-font-style-tt">a</span>', '<span class="tex-font-style-tt">b</span>', '<span class="tex-font-style-tt">c</span>' и '<span class="tex-font-style-tt">?</span>'.</p><p>Гарантируется, что в каждом тестовом случае строка $$$s$$$ содержит хотя бы один символ '<span class="tex-font-style-tt">?</span>'. Сумма длин строк $$$s$$$ по всем тестовым случаям не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая во входных данных выведите ответ в следующем формате:</p><ul> <li> Если невозможно получить красивую строку, выведите «<span class="tex-font-style-tt">-1</span>» (без кавычек); </li><li> Иначе, выведите получившуюся красивую строку после замены всех символов '<span class="tex-font-style-tt">?</span>'. Если существует несколько возможных ответов, вы можете найти любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 a???cb a??bbc a?b?c </pre></div><div class="output"><div class="title">Выходные данные</div><pre> ababcb -1 acbac </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае, все возможные правильные ответы это «<span class="tex-font-style-tt">ababcb</span>», «<span class="tex-font-style-tt">abcacb</span>», «<span class="tex-font-style-tt">abcbcb</span>», «<span class="tex-font-style-tt">acabcb</span>» и «<span class="tex-font-style-tt">acbacb</span>». Два ответа «<span class="tex-font-style-tt">abcbab</span>» and «<span class="tex-font-style-tt">abaabc</span>» являются неправильными, потому что можно заменять только символы '<span class="tex-font-style-tt">?</span>' и получившаяся строка должна быть красивой.</p><p>Во втором тестовом случае, невозможно получить красивую строку, потому что $$$4$$$-й и $$$5$$$-й символы будут всегда совпадать.</p><p>В третьем тестовом случае, единственный возможный ответ это «<span class="tex-font-style-tt">acbac</span>».</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); 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1265B	1265	B	ru	B. Красивые числа	<div class="problem-statement"><div class="header"><div class="title">B. Красивые числа</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана перестановка $$$p=[p_1, p_2, \ldots, p_n]$$$ целых чисел от $$$1$$$ до $$$n$$$. Назовем число $$$m$$$ ($$$1 \le m \le n$$$) <span class="tex-font-style-it">красивым</span>, если существует два индекса $$$l, r$$$ ($$$1 \le l \le r \le n$$$), таких что $$$[p_l, p_{l+1}, \ldots, p_r]$$$ это перестановка чисел $$$1, 2, \ldots, m$$$.</p><p>Например, пусть $$$p = [4, 5, 1, 3, 2, 6]$$$. В этом случае числа $$$1, 3, 5, 6$$$ красивые, а $$$2, 4$$$ нет. Это так, потому что:</p><ul> <li> если $$$l = 3$$$ и $$$r = 3$$$ мы получим перестановку $$$[1]$$$ для $$$m = 1$$$; </li><li> если $$$l = 3$$$ и $$$r = 5$$$ мы получим перестановку $$$[1, 3, 2]$$$ для $$$m = 3$$$; </li><li> если $$$l = 1$$$ и $$$r = 5$$$ мы получим перестановку $$$[4, 5, 1, 3, 2]$$$ для $$$m = 5$$$; </li><li> если $$$l = 1$$$ и $$$r = 6$$$ мы получим перестановку $$$[4, 5, 1, 3, 2, 6]$$$ для $$$m = 6$$$; </li><li> невозможно взять некоторые $$$l$$$ и $$$r$$$, так что $$$[p_l, p_{l+1}, \ldots, p_r]$$$ будет перестановкой чисел $$$1, 2, \ldots, m$$$ для $$$m = 2$$$ и для $$$m = 4$$$. </li></ul><p>Вам дана перестановка $$$p=[p_1, p_2, \ldots, p_n]$$$. Для всех $$$m$$$ ($$$1 \le m \le n$$$) определите, является ли это число красивым или нет.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится единственное целое число $$$t$$$ ($$$1 \le t \le 1000$$$) — количество тестовых случаев. В следующих строках находятся описания тестовых случаев.</p><p>В первой строке описания тестового случая находится единственное целое число $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — длина перестановки $$$p$$$. Следующая строка содержит $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \le p_i \le n$$$, все $$$p_i$$$ различны) — данная перестановка $$$p$$$.</p><p>Гарантируется, что сумма $$$n$$$ по всем тестовым случаям во входных данных не превосходит $$$2 \cdot 10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк — ответы на тестовые случаи, в порядке их следования во входных данных.</p><p>Ответом на тестовый случай является строка длины $$$n$$$, где $$$i$$$-й символ равен $$$1$$$, если $$$i$$$ это красивое число и равен $$$0$$$ если $$$i$$$ не является красивым числом.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 4 5 1 3 2 6 5 5 3 1 2 4 4 1 4 3 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 101011 11111 1001 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый тестовый случай описан в условии задачи.</p><p>Во втором тестовом случае все числа от $$$1$$$ до $$$5$$$ красивые:</p><ul> <li> если $$$l = 3$$$ и $$$r = 3$$$ мы получим перестановку $$$[1]$$$ для $$$m = 1$$$; </li><li> если $$$l = 3$$$ и $$$r = 4$$$ мы получим перестановку $$$[1, 2]$$$ для $$$m = 2$$$; </li><li> если $$$l = 2$$$ и $$$r = 4$$$ мы получим перестановку $$$[3, 1, 2]$$$ для $$$m = 3$$$; </li><li> если $$$l = 2$$$ и $$$r = 5$$$ мы получим перестановку $$$[3, 1, 2, 4]$$$ для $$$m = 4$$$; </li><li> если $$$l = 1$$$ и $$$r = 5$$$ мы получим перестановку $$$[5, 3, 1, 2, 4]$$$ для $$$m = 5$$$. </li></ul></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="f5789fec648988da6a60b90adc4da011"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8b89ce15c5ae6df04df0e794aa5225c1d810ee6f"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9997" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71995" title="Codeforces Round #604 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10021" resourceName="Codeforces Round #604 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1265">Задачи</a></li> <li><a href="/contest/1265/submit">Отослать</a></li> <li><a href="/contest/1265/my">Мои посылки</a></li> <li><a href="/contest/1265/status">Статус</a></li> <li><a href="/contest/1265/hacks">Взломы</a></li> <li><a href="/contest/1265/room/1">Комната</a></li> <li><a href="/contest/1265/standings">Положение</a></li> <li><a href="/contest/1265/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_ce53103937be433e3ce08a6442701f0994b2e4f4"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Красивые числа</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана перестановка $$$p=[p_1, p_2, \ldots, p_n]$$$ целых чисел от $$$1$$$ до $$$n$$$. Назовем число $$$m$$$ ($$$1 \le m \le n$$$) <span class="tex-font-style-it">красивым</span>, если существует два индекса $$$l, r$$$ ($$$1 \le l \le r \le n$$$), таких что $$$[p_l, p_{l+1}, \ldots, p_r]$$$ это перестановка чисел $$$1, 2, \ldots, m$$$.</p><p>Например, пусть $$$p = [4, 5, 1, 3, 2, 6]$$$. В этом случае числа $$$1, 3, 5, 6$$$ красивые, а $$$2, 4$$$ нет. Это так, потому что:</p><ul> <li> если $$$l = 3$$$ и $$$r = 3$$$ мы получим перестановку $$$[1]$$$ для $$$m = 1$$$; </li><li> если $$$l = 3$$$ и $$$r = 5$$$ мы получим перестановку $$$[1, 3, 2]$$$ для $$$m = 3$$$; </li><li> если $$$l = 1$$$ и $$$r = 5$$$ мы получим перестановку $$$[4, 5, 1, 3, 2]$$$ для $$$m = 5$$$; </li><li> если $$$l = 1$$$ и $$$r = 6$$$ мы получим перестановку $$$[4, 5, 1, 3, 2, 6]$$$ для $$$m = 6$$$; </li><li> невозможно взять некоторые $$$l$$$ и $$$r$$$, так что $$$[p_l, p_{l+1}, \ldots, p_r]$$$ будет перестановкой чисел $$$1, 2, \ldots, m$$$ для $$$m = 2$$$ и для $$$m = 4$$$. </li></ul><p>Вам дана перестановка $$$p=[p_1, p_2, \ldots, p_n]$$$. Для всех $$$m$$$ ($$$1 \le m \le n$$$) определите, является ли это число красивым или нет.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится единственное целое число $$$t$$$ ($$$1 \le t \le 1000$$$) — количество тестовых случаев. В следующих строках находятся описания тестовых случаев.</p><p>В первой строке описания тестового случая находится единственное целое число $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — длина перестановки $$$p$$$. Следующая строка содержит $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \le p_i \le n$$$, все $$$p_i$$$ различны) — данная перестановка $$$p$$$.</p><p>Гарантируется, что сумма $$$n$$$ по всем тестовым случаям во входных данных не превосходит $$$2 \cdot 10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк — ответы на тестовые случаи, в порядке их следования во входных данных.</p><p>Ответом на тестовый случай является строка длины $$$n$$$, где $$$i$$$-й символ равен $$$1$$$, если $$$i$$$ это красивое число и равен $$$0$$$ если $$$i$$$ не является красивым числом.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 4 5 1 3 2 6 5 5 3 1 2 4 4 1 4 3 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 101011 11111 1001 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый тестовый случай описан в условии задачи.</p><p>Во втором тестовом случае все числа от $$$1$$$ до $$$5$$$ красивые:</p><ul> <li> если $$$l = 3$$$ и $$$r = 3$$$ мы получим перестановку $$$[1]$$$ для $$$m = 1$$$; </li><li> если $$$l = 3$$$ и $$$r = 4$$$ мы получим перестановку $$$[1, 2]$$$ для $$$m = 2$$$; </li><li> если $$$l = 2$$$ и $$$r = 4$$$ мы получим перестановку $$$[3, 1, 2]$$$ для $$$m = 3$$$; </li><li> если $$$l = 2$$$ и $$$r = 5$$$ мы получим перестановку $$$[3, 1, 2, 4]$$$ для $$$m = 4$$$; </li><li> если $$$l = 1$$$ и $$$r = 5$$$ мы получим перестановку $$$[5, 3, 1, 2, 4]$$$ для $$$m = 5$$$. </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); 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1265C	1265	C	ru	C. Beautiful Regional Contest	<div class="problem-statement"><div class="header"><div class="title">C. Beautiful Regional Contest</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вот и подошел к концу Beautiful Regional Contest (BeRC)! В соревновании приняли участие $$$n$$$ студентов. Уже известна таблица финальных результатов — участник на $$$i$$$-м месте решил $$$p_i$$$ задач. Так как в первую очередь участники упорядочиваются по количеству решенных задач, то $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Помогите жюри распределить золотые, серебряные и бронзовые медали. Пусть их количества равны $$$g$$$, $$$s$$$ и $$$b$$$, соответственно. Вот перечень требований из регламента, которые все должны быть удовлетворены:</p><ul> <li> для каждого из трёх достоинств медалей хотя бы одна медаль должна быть вручена (то есть $$$g>0$$$, $$$s>0$$$ и $$$b>0$$$); </li><li> количество золотых медалей должно быть строго меньше и количества серебряных и количества бронзовых (то есть $$$g<s$$$ и $$$g<b$$$, но требований между $$$s$$$ и $$$b$$$ нет); </li><li> каждый золотой медалист должен решить строго больше задач, чем любой награждённый серебряной медалью; </li><li> каждый серебряный медалист должен решить строго больше задач, чем любой награждённый бронзовой медалью; </li><li> каждый бронзовый медалист должен решить строго больше задач, чем любой не награждённый медалью участник; </li><li> суммарное количество медалистов $$$g+s+b$$$ не должно превышать половину всех участников (например, если $$$n=21$$$, то можно наградить максимум $$$10$$$ участников, а если $$$n=26$$$, то можно наградить максимум $$$13$$$ участников). </li></ul><p>Жюри хочет наградить медалями суммарно <span class="tex-font-style-bf">наибольшее</span> количество $$$g+s+b$$$ участников так, чтобы все перечисленные пункты выполнялись. Помогите жюри найти такой способ награждения медалями.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10000$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка набора входных данных содержит целое число $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$) — количество участников BeRC. Вторая строка набора содержит последовательность целых чисел $$$p_1, p_2, \dots, p_n$$$ ($$$0 \le p_i \le 10^6$$$), где $$$p_i$$$ равно количеству задач, решенных $$$i$$$-м участником из таблицы финальных результатов. Значения $$$p_i$$$ отсортированы по невозрастанию, то есть $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$4\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк, $$$j$$$-я строка должна содержать ответ на $$$j$$$-й набор входных данных. </p><p>Ответ состоит из трёх неотрицательных целых чисел $$$g, s, b$$$.</p><ul> <li> Выведите $$$g=s=b=0$$$, если не существует способа наградить участников медалями, чтобы одновременно выполнялись все требования из условия. </li><li> В противном случае выведите три положительных числа $$$g, s, b$$$ — возможное количество золотых, серебряных и бронзовых медалей, соответственно. Сумма $$$g+s+b$$$ должна быть максимально возможной. Если ответов несколько, то выведите любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 12 5 4 4 3 2 2 1 1 1 1 1 1 4 4 3 2 1 1 1000000 20 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 32 64 64 63 58 58 58 58 58 37 37 37 37 34 34 28 28 28 28 28 28 24 24 19 17 17 17 17 16 16 16 16 11 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 3 0 0 0 0 0 0 2 5 3 2 6 6 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае можно наградить $$$1$$$ золотой, $$$2$$$ серебряными и $$$3$$$ бронзовыми медалями участников. Тогда золотую медаль получит участник, решившая $$$5$$$ задач, серебрянные медали получат участники, решившие $$$4$$$ задачи, бронзовые медали получат участники решившие $$$2$$$ или $$$3$$$ задачи. Участники, решившие $$$1$$$ задачу медаль не получат. Заметим, что все условия выполнены и раздать медали таким способом можно. Больше, чем $$$6$$$ медалей выдать невозможно, потому что нельзя выдать больше чем половину от количества участников медалей. Ответ $$$1$$$, $$$3$$$, $$$2$$$ также является верным в этом тестовом случае.</p><p>Во втором и третьем тестовых случаев нельзя так раздать медали, потому что медаль каждого достоинства должна получить хотя бы один участник, но количество выданных медалей не должно превышать половину от количества участников.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="2f1d696af97076ce59b51cb6e601853e"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - C - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8b89ce15c5ae6df04df0e794aa5225c1d810ee6f"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - C - Codeforces</title> <meta name="description" content="Codeforces. 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background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1500 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='2f1d696af97076ce59b51cb6e601853e'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="486710"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='2f1d696af97076ce59b51cb6e601853e'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="486710"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9997" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71995" title="Codeforces Round #604 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10021" resourceName="Codeforces Round #604 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1265">Задачи</a></li> <li><a href="/contest/1265/submit">Отослать</a></li> <li><a href="/contest/1265/my">Мои посылки</a></li> <li><a href="/contest/1265/status">Статус</a></li> <li><a href="/contest/1265/hacks">Взломы</a></li> <li><a href="/contest/1265/room/1">Комната</a></li> <li><a href="/contest/1265/standings">Положение</a></li> <li><a href="/contest/1265/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_8c49f03d82b770fbbb4c39241f5b6c79c18291bc"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Beautiful Regional Contest</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вот и подошел к концу Beautiful Regional Contest (BeRC)! В соревновании приняли участие $$$n$$$ студентов. Уже известна таблица финальных результатов — участник на $$$i$$$-м месте решил $$$p_i$$$ задач. Так как в первую очередь участники упорядочиваются по количеству решенных задач, то $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Помогите жюри распределить золотые, серебряные и бронзовые медали. Пусть их количества равны $$$g$$$, $$$s$$$ и $$$b$$$, соответственно. Вот перечень требований из регламента, которые все должны быть удовлетворены:</p><ul> <li> для каждого из трёх достоинств медалей хотя бы одна медаль должна быть вручена (то есть $$$g>0$$$, $$$s>0$$$ и $$$b>0$$$); </li><li> количество золотых медалей должно быть строго меньше и количества серебряных и количества бронзовых (то есть $$$g<s$$$ и $$$g<b$$$, но требований между $$$s$$$ и $$$b$$$ нет); </li><li> каждый золотой медалист должен решить строго больше задач, чем любой награждённый серебряной медалью; </li><li> каждый серебряный медалист должен решить строго больше задач, чем любой награждённый бронзовой медалью; </li><li> каждый бронзовый медалист должен решить строго больше задач, чем любой не награждённый медалью участник; </li><li> суммарное количество медалистов $$$g+s+b$$$ не должно превышать половину всех участников (например, если $$$n=21$$$, то можно наградить максимум $$$10$$$ участников, а если $$$n=26$$$, то можно наградить максимум $$$13$$$ участников). </li></ul><p>Жюри хочет наградить медалями суммарно <span class="tex-font-style-bf">наибольшее</span> количество $$$g+s+b$$$ участников так, чтобы все перечисленные пункты выполнялись. Помогите жюри найти такой способ награждения медалями.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10000$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка набора входных данных содержит целое число $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$) — количество участников BeRC. Вторая строка набора содержит последовательность целых чисел $$$p_1, p_2, \dots, p_n$$$ ($$$0 \le p_i \le 10^6$$$), где $$$p_i$$$ равно количеству задач, решенных $$$i$$$-м участником из таблицы финальных результатов. Значения $$$p_i$$$ отсортированы по невозрастанию, то есть $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$4\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк, $$$j$$$-я строка должна содержать ответ на $$$j$$$-й набор входных данных. </p><p>Ответ состоит из трёх неотрицательных целых чисел $$$g, s, b$$$.</p><ul> <li> Выведите $$$g=s=b=0$$$, если не существует способа наградить участников медалями, чтобы одновременно выполнялись все требования из условия. </li><li> В противном случае выведите три положительных числа $$$g, s, b$$$ — возможное количество золотых, серебряных и бронзовых медалей, соответственно. Сумма $$$g+s+b$$$ должна быть максимально возможной. Если ответов несколько, то выведите любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 12 5 4 4 3 2 2 1 1 1 1 1 1 4 4 3 2 1 1 1000000 20 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 32 64 64 63 58 58 58 58 58 37 37 37 37 34 34 28 28 28 28 28 28 24 24 19 17 17 17 17 16 16 16 16 11 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 3 0 0 0 0 0 0 2 5 3 2 6 6 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае можно наградить $$$1$$$ золотой, $$$2$$$ серебряными и $$$3$$$ бронзовыми медалями участников. Тогда золотую медаль получит участник, решившая $$$5$$$ задач, серебрянные медали получат участники, решившие $$$4$$$ задачи, бронзовые медали получат участники решившие $$$2$$$ или $$$3$$$ задачи. Участники, решившие $$$1$$$ задачу медаль не получат. Заметим, что все условия выполнены и раздать медали таким способом можно. Больше, чем $$$6$$$ медалей выдать невозможно, потому что нельзя выдать больше чем половину от количества участников медалей. Ответ $$$1$$$, $$$3$$$, $$$2$$$ также является верным в этом тестовом случае.</p><p>Во втором и третьем тестовых случаев нельзя так раздать медали, потому что медаль каждого достоинства должна получить хотя бы один участник, но количество выданных медалей не должно превышать половину от количества участников.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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1265D	1265	D	ru	D. Красивая последовательность	<div class="problem-statement"><div class="header"><div class="title">D. Красивая последовательность</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Последовательность целых чисел называется <span class="tex-font-style-it">красивой</span> если абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Более формально, последовательность $$$s_1, s_2, \ldots, s_{n}$$$ красивая, если $$$\|s_i - s_{i+1}\| = 1$$$ для всех $$$1 \leq i \leq n - 1$$$.</p><p>У Вани есть $$$a$$$ чисел равных $$$0$$$, $$$b$$$ чисел равных $$$1$$$, $$$c$$$ чисел равных $$$2$$$ и $$$d$$$ чисел равных $$$3$$$. Он хочет построить красивую последовательность используя все эти $$$a + b + c + d$$$ чисел.</p><p>Оказалось, что это непростая задача и Ваня не справился решить ее. Помогите Ване!</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке находятся четыре неотрицательных целых числа $$$a$$$, $$$b$$$, $$$c$$$ и $$$d$$$ ($$$0 < a+b+c+d \leq 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно построить красивую последовательность, удовлетворяющую ограничениям, выведите «<span class="tex-font-style-tt">NO</span>» (без кавычек) в единственной строке.</p><p>Иначе, выведите «<span class="tex-font-style-tt">YES</span>» (без кавычек) в первой строке. Затем, во второй строке выведите $$$a + b + c + d$$$ целых чисел, разделенных пробелом — найденная красивая последовательность. Среди выведенных чисел должно быть ровно $$$a$$$ чисел, равных $$$0$$$, ровно $$$b$$$ чисел, равных $$$1$$$, ровно $$$c$$$ чисел, равных $$$2$$$ и ровно $$$d$$$ чисел, равных $$$3$$$.</p><p>Если существует несколько возможных ответов, вы можете вывести любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES 0 1 0 1 2 3 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 2 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, легко заметить, что последовательность красивая, потому что абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Также, в последовательности ровно два числа, равных $$$0$$$, $$$1$$$, $$$2$$$ и ровно одно число, равное $$$3$$$.</p><p>Можно доказать, что невозможно построить красивые последовательности во втором и третьем тесте.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="c33427d52fa3ecd412ccd5d38f25a3cd"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8b89ce15c5ae6df04df0e794aa5225c1d810ee6f"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D - Codeforces</title> <meta name="description" content="Codeforces. 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params[key] = value; } }); $.post(dataPageUrl, params, function (result) { if (result["success"] !== "true") { Codeforces.showMessage("Не удалось сохранить состояние блока."); } }, "json"); return false; }); }) </script> </div> <div class="roundbox sidebox borderTopRound " style=""> <div class="caption titled">→ Теги задачи <div class="top-links"> </div> </div> <div style="padding: 0.5em;"> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Жадные алгоритмы"> жадные алгоритмы </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Конструктивные алгоритмы"> конструктив </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1900 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='c33427d52fa3ecd412ccd5d38f25a3cd'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="486711"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='c33427d52fa3ecd412ccd5d38f25a3cd'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="486711"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9997" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71995" title="Codeforces Round #604 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10021" resourceName="Codeforces Round #604 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1265">Задачи</a></li> <li><a href="/contest/1265/submit">Отослать</a></li> <li><a href="/contest/1265/my">Мои посылки</a></li> <li><a href="/contest/1265/status">Статус</a></li> <li><a href="/contest/1265/hacks">Взломы</a></li> <li><a href="/contest/1265/room/1">Комната</a></li> <li><a href="/contest/1265/standings">Положение</a></li> <li><a href="/contest/1265/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; if (!pre) { s = s.replace(/\s+/g, " "); } if (s.length > 0) { result.push(s); } } if (pre && node.tagName === "BR") { result.push("\n"); } node.childNodes.forEach(function (child) { result.push(nodeToText(child, node.tagName === "PRE").join("")); }); if (node.tagName === "DIV" \|\| node.tagName === "P" \|\| node.tagName === "PRE" \|\| node.tagName === "UL" \|\| node.tagName === "LI" ) { result.push("\n"); } if (node.tagName === "NOBR") { result.push(CLOSING_SPACE); } return result; } const isSpecial = function (c) { return c === ',' \|\| c === '.' \|\| c === ';' \|\| c === ')' \|\| c === ' '; } const convertStatementToText = function(statmentNode) { const text = nodeToText(statmentNode, false).join("").replace(/ +/g, " ").replace(/\n\n+/g, "\n\n"); let result = []; for (let i = 0; i < text.length; i++) { const c = text.charAt(i); if (c === OPENING_SPACE) { if (!((i > 0 && text.charAt(i - 1) === '(') \|\| (result.length > 0 && result[result.length - 1] === ' '))) { result.push('+'); } } else if (c === CLOSING_SPACE) { if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) { result.push('-'); } } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_6afce266e77035c424e8ccdd95c7e6b650829dbc"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Красивая последовательность</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Последовательность целых чисел называется <span class="tex-font-style-it">красивой</span> если абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Более формально, последовательность $$$s_1, s_2, \ldots, s_{n}$$$ красивая, если $$$\|s_i - s_{i+1}\| = 1$$$ для всех $$$1 \leq i \leq n - 1$$$.</p><p>У Вани есть $$$a$$$ чисел равных $$$0$$$, $$$b$$$ чисел равных $$$1$$$, $$$c$$$ чисел равных $$$2$$$ и $$$d$$$ чисел равных $$$3$$$. Он хочет построить красивую последовательность используя все эти $$$a + b + c + d$$$ чисел.</p><p>Оказалось, что это непростая задача и Ваня не справился решить ее. Помогите Ване!</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке находятся четыре неотрицательных целых числа $$$a$$$, $$$b$$$, $$$c$$$ и $$$d$$$ ($$$0 < a+b+c+d \leq 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно построить красивую последовательность, удовлетворяющую ограничениям, выведите «<span class="tex-font-style-tt">NO</span>» (без кавычек) в единственной строке.</p><p>Иначе, выведите «<span class="tex-font-style-tt">YES</span>» (без кавычек) в первой строке. Затем, во второй строке выведите $$$a + b + c + d$$$ целых чисел, разделенных пробелом — найденная красивая последовательность. Среди выведенных чисел должно быть ровно $$$a$$$ чисел, равных $$$0$$$, ровно $$$b$$$ чисел, равных $$$1$$$, ровно $$$c$$$ чисел, равных $$$2$$$ и ровно $$$d$$$ чисел, равных $$$3$$$.</p><p>Если существует несколько возможных ответов, вы можете вывести любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES 0 1 0 1 2 3 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 2 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, легко заметить, что последовательность красивая, потому что абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Также, в последовательности ровно два числа, равных $$$0$$$, $$$1$$$, $$$2$$$ и ровно одно число, равное $$$3$$$.</p><p>Можно доказать, что невозможно построить красивые последовательности во втором и третьем тесте.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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1265E	1265	E	ru	E. Красивые зеркала	<div class="problem-statement"><div class="header"><div class="title">E. Красивые зеркала</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Creatnx есть $$$n$$$ зеркал, пронумерованных от $$$1$$$ до $$$n$$$. Каждый день Creatnx спрашивает ровно одно зеркало «Красивый ли я?». $$$i$$$-е зеркало скажет Creatnx, что он красивый с вероятностью $$$\frac{p_i}{100}$$$ для всех $$$1 \le i \le n$$$.</p><p>Creatnx спрашивает зеркала одно за другим, начиная с $$$1$$$-о зеркала. Каждый день, если он спрашивает $$$i$$$-е зеркало, есть две возможности:</p><ul> <li> $$$i$$$-е зеркало скажет Creatnx, что он красивый. В этом случае, если $$$i = n$$$ Creatnx остановится и станет счастливым, иначе он продолжит спрашивать $$$i+1$$$-е зеркало на следующий день; </li><li> В другом случае Creatnx очень расстроится. На следующий день, Creatnx начнет спрашивать $$$1$$$-е зеркало заново. </li></ul><p>Вам нужно посчитать <a href="https://ru.wikipedia.org/wiki/Математическое_ожидание">математическое ожидание</a> количества дней, до того как Creatnx станет счастливым.</p><p>Это число нужно найти по модулю $$$998244353$$$. Формально, пусть $$$M = 998244353$$$. Можно показать, что ответ может быть представлен в виде несократимой дроби $$$\frac{p}{q}$$$, где $$$p$$$ и $$$q$$$ целые числа и $$$q \not \equiv 0 \pmod{M}$$$. Выведите целое число, равное $$$p \cdot q^{-1} \bmod M$$$. Другими словами, выведите такое целое число $$$x$$$, что $$$0 \le x < M$$$ и $$$x \cdot q \equiv p \pmod{M}$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится единственное целое число $$$n$$$ ($$$1\le n\le 2\cdot 10^5$$$) — количество зеркал.</p><p>Во второй строке находится $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \leq p_i \leq 100$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 1 50 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 50 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 112 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, есть единственное зеркало и оно говорит, что Creatnx красивый с вероятностью $$$\frac{1}{2}$$$. Поэтому математическое ожидание количества дней, пока Creatnx не станет счастливым равно $$$2$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="ca888b33b8e35dd37b2f9c3cafbe74cf"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8b89ce15c5ae6df04df0e794aa5225c1d810ee6f"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_ddb98c4ce6e7b0f5543b713a16bddcca08be09af"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Красивые зеркала</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Creatnx есть $$$n$$$ зеркал, пронумерованных от $$$1$$$ до $$$n$$$. Каждый день Creatnx спрашивает ровно одно зеркало «Красивый ли я?». $$$i$$$-е зеркало скажет Creatnx, что он красивый с вероятностью $$$\frac{p_i}{100}$$$ для всех $$$1 \le i \le n$$$.</p><p>Creatnx спрашивает зеркала одно за другим, начиная с $$$1$$$-о зеркала. Каждый день, если он спрашивает $$$i$$$-е зеркало, есть две возможности:</p><ul> <li> $$$i$$$-е зеркало скажет Creatnx, что он красивый. В этом случае, если $$$i = n$$$ Creatnx остановится и станет счастливым, иначе он продолжит спрашивать $$$i+1$$$-е зеркало на следующий день; </li><li> В другом случае Creatnx очень расстроится. На следующий день, Creatnx начнет спрашивать $$$1$$$-е зеркало заново. </li></ul><p>Вам нужно посчитать <a href="https://ru.wikipedia.org/wiki/Математическое_ожидание">математическое ожидание</a> количества дней, до того как Creatnx станет счастливым.</p><p>Это число нужно найти по модулю $$$998244353$$$. Формально, пусть $$$M = 998244353$$$. Можно показать, что ответ может быть представлен в виде несократимой дроби $$$\frac{p}{q}$$$, где $$$p$$$ и $$$q$$$ целые числа и $$$q \not \equiv 0 \pmod{M}$$$. Выведите целое число, равное $$$p \cdot q^{-1} \bmod M$$$. Другими словами, выведите такое целое число $$$x$$$, что $$$0 \le x < M$$$ и $$$x \cdot q \equiv p \pmod{M}$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится единственное целое число $$$n$$$ ($$$1\le n\le 2\cdot 10^5$$$) — количество зеркал.</p><p>Во второй строке находится $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \leq p_i \leq 100$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 1 50 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 50 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 112 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, есть единственное зеркало и оно говорит, что Creatnx красивый с вероятностью $$$\frac{1}{2}$$$. Поэтому математическое ожидание количества дней, пока Creatnx не станет счастливым равно $$$2$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); 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1265F	1265	F	ru	F. Красивая скобочная последовательность (простая версия)	<div class="problem-statement"><div class="header"><div class="title">F. Красивая скобочная последовательность (простая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это простая версия этой задачи. Единственное отличие в ограничении на $$$n$$$ — длине входной строки. В этой версии, $$$1 \leq n \leq 2000$$$. Сложная версия этой задачи не предлагается в раунде для второго дивизиона.</span></p><p>Определим правильную скобочную последовательность и ее глубину следующим образом:</p><ul> <li> Пустая строка это правильная скобочная последовательность глубины $$$0$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» это правильная скобочная последовательность глубины $$$d$$$ тогда «<span class="tex-font-style-tt">(s)</span>» это правильная скобочная последовательность глубины $$$d + 1$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» и «<span class="tex-font-style-tt">t</span>» это две правильные скобочные последовательности тогда их конкатенация «<span class="tex-font-style-tt">st</span>» это правильная скобочная последовательность с глубиной равной максимальной из глубин $$$s$$$ и $$$t$$$. </li></ul><p>Для (не обязательно правильной) скобочной последовательности $$$s$$$ мы определяем ее глубину как максимальную глубину любой <span class="tex-font-style-bf">правильной</span> скобочной последовательности, которая может быть получена с помощью удаления некоторых символов из $$$s$$$ (возможно нуля). Например, скобочная последовательность $$$s = $$$«<span class="tex-font-style-tt">())(())</span>» имеет глубину $$$2$$$, потому что при удалении третьего символа мы получим правильную скобочную последовательность «<span class="tex-font-style-tt">()(())</span>» глубины $$$2$$$.</p><p>Дана строка $$$a$$$, состоящая из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Рассмотрим все (не обязательно правильные) скобочные последовательности, получающиеся заменой всех символов '<span class="tex-font-style-tt">?</span>' в строке $$$a$$$ на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'. Посчитайте сумму глубин всех таких скобочных последовательностей. Так как это число может быть очень большим, найдите его по модулю $$$998244353$$$.</p><p><span class="tex-font-style-bf">Взломы</span> в первом дивизионе по этой задачи могут быть сделаны, только если простая и сложная версия этой задачи сданы.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Единственная строка содержит непустую строку, состоящую только из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Длина строки не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> ?? </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> (?(?)) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">((</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">))</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">)(</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">()</span>». Ее глубина $$$1$$$. </li></ul><p>Поэтому, ответ равен $$$1 = 0 + 0 + 0 + 1$$$.</p><p>Во втором тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">(((())</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">()()))</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">((()))</span>». Ее глубина $$$3$$$; </li><li> «<span class="tex-font-style-tt">()(())</span>». Ее глубина $$$2$$$. </li></ul><p>Поэтому, ответ равен $$$9 = 2 + 2 + 3 + 2$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="ce52a49a12262bd0fc9bc554d4fde86a"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - F - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8b89ce15c5ae6df04df0e794aa5225c1d810ee6f"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - F - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9997" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71995" title="Codeforces Round #604 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10021" resourceName="Codeforces Round #604 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1265">Задачи</a></li> <li><a href="/contest/1265/submit">Отослать</a></li> <li><a href="/contest/1265/my">Мои посылки</a></li> <li><a href="/contest/1265/status">Статус</a></li> <li><a href="/contest/1265/hacks">Взломы</a></li> <li><a href="/contest/1265/room/1">Комната</a></li> <li><a href="/contest/1265/standings">Положение</a></li> <li><a href="/contest/1265/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_bbf4ff4582bb7879e5724eb6dd131dd0517cab91"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Красивая скобочная последовательность (простая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это простая версия этой задачи. Единственное отличие в ограничении на $$$n$$$ — длине входной строки. В этой версии, $$$1 \leq n \leq 2000$$$. Сложная версия этой задачи не предлагается в раунде для второго дивизиона.</span></p><p>Определим правильную скобочную последовательность и ее глубину следующим образом:</p><ul> <li> Пустая строка это правильная скобочная последовательность глубины $$$0$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» это правильная скобочная последовательность глубины $$$d$$$ тогда «<span class="tex-font-style-tt">(s)</span>» это правильная скобочная последовательность глубины $$$d + 1$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» и «<span class="tex-font-style-tt">t</span>» это две правильные скобочные последовательности тогда их конкатенация «<span class="tex-font-style-tt">st</span>» это правильная скобочная последовательность с глубиной равной максимальной из глубин $$$s$$$ и $$$t$$$. </li></ul><p>Для (не обязательно правильной) скобочной последовательности $$$s$$$ мы определяем ее глубину как максимальную глубину любой <span class="tex-font-style-bf">правильной</span> скобочной последовательности, которая может быть получена с помощью удаления некоторых символов из $$$s$$$ (возможно нуля). Например, скобочная последовательность $$$s = $$$«<span class="tex-font-style-tt">())(())</span>» имеет глубину $$$2$$$, потому что при удалении третьего символа мы получим правильную скобочную последовательность «<span class="tex-font-style-tt">()(())</span>» глубины $$$2$$$.</p><p>Дана строка $$$a$$$, состоящая из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Рассмотрим все (не обязательно правильные) скобочные последовательности, получающиеся заменой всех символов '<span class="tex-font-style-tt">?</span>' в строке $$$a$$$ на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'. Посчитайте сумму глубин всех таких скобочных последовательностей. Так как это число может быть очень большим, найдите его по модулю $$$998244353$$$.</p><p><span class="tex-font-style-bf">Взломы</span> в первом дивизионе по этой задачи могут быть сделаны, только если простая и сложная версия этой задачи сданы.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Единственная строка содержит непустую строку, состоящую только из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Длина строки не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> ?? </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> (?(?)) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">((</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">))</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">)(</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">()</span>». Ее глубина $$$1$$$. </li></ul><p>Поэтому, ответ равен $$$1 = 0 + 0 + 0 + 1$$$.</p><p>Во втором тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">(((())</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">()()))</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">((()))</span>». Ее глубина $$$3$$$; </li><li> «<span class="tex-font-style-tt">()(())</span>». Ее глубина $$$2$$$. </li></ul><p>Поэтому, ответ равен $$$9 = 2 + 2 + 3 + 2$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); 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1266A	1266	A	ru	A. Спортивный программист	<div class="problem-statement"><div class="header"><div class="title">A. Спортивный программист</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Боб — спортивный программист. Он хочет стать красным, и для этого ему нужен строгий режим тренировок. Боб решил пойти на ежегодную встречу гроссмейстеров и спросить $$$n$$$ из них, сколько они тренировались, чтобы стать красными.</p><p>«Я потратил $$$x_i$$$ <span class="tex-font-style-bf">часов</span> на решение задач», — ответил $$$i$$$-й гроссмейстер. </p><p>Боб решил потренировать свои навыки математики, поэтому для каждого ответа он записал одно целое число — количество <span class="tex-font-style-bf">минут</span> ($$$60 \cdot x_i$$$), поблагодарил гроссмейстеров и пошел домой. Боб мог писать числа с лидирующими нулями — например, если гроссмейстер сказал, что ему потребовалось потратить $$$2$$$ часа, Боб мог написать $$$000120$$$ вместо $$$120$$$.</p><p>Алиса решила разыграть Боба — она нашла записанные им числа, и для каждого из них сделала следующее (независимо от остальных чисел): </p><ul> <li> либо перемешала все цифры числа, </li><li> либо записала случайное число. </li></ul><p>Таким образом Алиса получила $$$n$$$ чисел, которые мы обозначим как $$$y_1$$$, ..., $$$y_n$$$.</p><p>Для каждого из этих чисел помогите Бобу определить, может ли $$$y_i$$$ быть результатом перемешивания числа (возможно, имеющего лидирующие нули), кратного $$$60$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$1 \leq n \leq 418$$$) — количество гроссмейстеров, которым задал вопрос Боб.</p><p>Затем следуют $$$n$$$ строк, в $$$i$$$-й из которых задано одно целое число $$$y_i$$$, записанное Алисой.</p><p>Каждое из этих чисел состоит из не менее $$$2$$$ и не более $$$100$$$ цифр от '0' до '9'. Числа могут содержать ведущие нули.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ строк.</p><p>Для каждого $$$i$$$ сделайте следующее: если можно переставить цифры $$$y_i$$$ так, что полученное число делится на $$$60$$$, выведите «<span class="tex-font-style-tt">red</span>» (без кавычек). Иначе выведите «<span class="tex-font-style-tt">cyan</span>».</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 603 006 205 228 1053 0000000000000000000000000000000000000000000000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> red red cyan cyan cyan red </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере существует один способ переставить цифры так, что результат делится на $$$60$$$ (мы должны получить $$$360$$$).</p><p>Во втором примере есть два решения. Одно из них — $$$060$$$, а второе — $$$600$$$.</p><p>В третьем примере существует $$$6$$$ способов переставить цифры: $$$025$$$, $$$052$$$, $$$205$$$, $$$250$$$, $$$502$$$, $$$520$$$. Никакой из этих способов не дает число, которое делится на $$$60$$$.</p><p>В четвертом примере существует $$$3$$$ способа переставить цифры: $$$228$$$, $$$282$$$, $$$822$$$.</p><p>В пятом примере ни один из $$$24$$$ способов переставить цифры не дает в результате число, делящееся на $$$60$$$.</p><p>В шестом примере $$$000\dots0$$$ является корректным решением.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="e52990a3ee5df5e798eb9350cddf2f39"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - A - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="9e1ad30bf76776f30f1808a7d382326337453341"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - A - Codeforces</title> <meta name="description" content="Codeforces. 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params[key] = value; } }); $.post(dataPageUrl, params, function (result) { if (result["success"] !== "true") { Codeforces.showMessage("Не удалось сохранить состояние блока."); } }, "json"); return false; }); }) </script> </div> <div class="roundbox sidebox borderTopRound " style=""> <div class="caption titled">→ Теги задачи <div class="top-links"> </div> </div> <div style="padding: 0.5em;"> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Китайская теорема об остатках, алгоритм Гарнера"> китайская теорема об остатках </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Интегрирование, диффуры и др."> математика </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1000 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='e52990a3ee5df5e798eb9350cddf2f39'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="497568"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='e52990a3ee5df5e798eb9350cddf2f39'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="497568"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_c90baa70f56a0e8c66affcf5529718b3b1598e8f"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Спортивный программист</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Боб — спортивный программист. Он хочет стать красным, и для этого ему нужен строгий режим тренировок. Боб решил пойти на ежегодную встречу гроссмейстеров и спросить $$$n$$$ из них, сколько они тренировались, чтобы стать красными.</p><p>«Я потратил $$$x_i$$$ <span class="tex-font-style-bf">часов</span> на решение задач», — ответил $$$i$$$-й гроссмейстер. </p><p>Боб решил потренировать свои навыки математики, поэтому для каждого ответа он записал одно целое число — количество <span class="tex-font-style-bf">минут</span> ($$$60 \cdot x_i$$$), поблагодарил гроссмейстеров и пошел домой. Боб мог писать числа с лидирующими нулями — например, если гроссмейстер сказал, что ему потребовалось потратить $$$2$$$ часа, Боб мог написать $$$000120$$$ вместо $$$120$$$.</p><p>Алиса решила разыграть Боба — она нашла записанные им числа, и для каждого из них сделала следующее (независимо от остальных чисел): </p><ul> <li> либо перемешала все цифры числа, </li><li> либо записала случайное число. </li></ul><p>Таким образом Алиса получила $$$n$$$ чисел, которые мы обозначим как $$$y_1$$$, ..., $$$y_n$$$.</p><p>Для каждого из этих чисел помогите Бобу определить, может ли $$$y_i$$$ быть результатом перемешивания числа (возможно, имеющего лидирующие нули), кратного $$$60$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$1 \leq n \leq 418$$$) — количество гроссмейстеров, которым задал вопрос Боб.</p><p>Затем следуют $$$n$$$ строк, в $$$i$$$-й из которых задано одно целое число $$$y_i$$$, записанное Алисой.</p><p>Каждое из этих чисел состоит из не менее $$$2$$$ и не более $$$100$$$ цифр от '0' до '9'. Числа могут содержать ведущие нули.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ строк.</p><p>Для каждого $$$i$$$ сделайте следующее: если можно переставить цифры $$$y_i$$$ так, что полученное число делится на $$$60$$$, выведите «<span class="tex-font-style-tt">red</span>» (без кавычек). Иначе выведите «<span class="tex-font-style-tt">cyan</span>».</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 603 006 205 228 1053 0000000000000000000000000000000000000000000000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> red red cyan cyan cyan red </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере существует один способ переставить цифры так, что результат делится на $$$60$$$ (мы должны получить $$$360$$$).</p><p>Во втором примере есть два решения. Одно из них — $$$060$$$, а второе — $$$600$$$.</p><p>В третьем примере существует $$$6$$$ способов переставить цифры: $$$025$$$, $$$052$$$, $$$205$$$, $$$250$$$, $$$502$$$, $$$520$$$. Никакой из этих способов не дает число, которое делится на $$$60$$$.</p><p>В четвертом примере существует $$$3$$$ способа переставить цифры: $$$228$$$, $$$282$$$, $$$822$$$.</p><p>В пятом примере ни один из $$$24$$$ способов переставить цифры не дает в результате число, делящееся на $$$60$$$.</p><p>В шестом примере $$$000\dots0$$$ является корректным решением.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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1266B	1266	B	ru	B. Башня из кубиков	<div class="problem-statement"><div class="header"><div class="title">B. Башня из кубиков</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Боб играет со стандартными $$$6$$$-гранными костями (кубиками). Развертка стандартного кубика приведена на рисунке ниже.</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/0065ec3465bffc3d36eefbdb4a5cab1e2598146d.png" style="max-width: 100.0%;max-height: 100.0%;"/></p><p>У Боба есть бесконечное число игральных кубиков, и он хочет построить из них башню, ставя один кубик на другой и выбирая ориентацию каждого нового кубика. После того, как Боб построит башню, он посчитает количество видимых точек на гранях кубиков.</p><p>Например, количество видимых точек на башне, нарисованной ниже, равно $$$29$$$ — число точек на верхней грани верхнего кубика равно $$$1$$$, а с четырех сторон башни видны грани со следующим количеством точек: $$$5$$$ и $$$3$$$ с южной стороны, $$$4$$$ и $$$2$$$ с западной стороны, $$$2$$$ и $$$4$$$ с северной стороны, и $$$3$$$ и $$$5$$$ с восточной стороны.</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/8b7b0bd353a0dc7abd2f410cbb90999b99b2a2a7.png" style="max-width: 100.0%;max-height: 100.0%;"/></p><p>Нижняя грань первого кубика (с единицей) и грани с шестью точками не видны, поэтому они не учитываются в количестве видимых точек.</p><p>У Боба есть $$$t$$$ любимых чисел $$$x_i$$$. Для каждого из чисел $$$x_i$$$ помогите Бобу узнать, можно ли построить башню из кубиков, для которой количество видимых точек равно этому числу.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$t$$$ ($$$1 \leq t \leq 1000$$$) — количество любимых чисел Боба. </p><p>Во второй строке заданы $$$t$$$ целых чисел $$$x_i$$$ ($$$1 \leq x_i \leq 10^{18}$$$) — любимые числа Боба.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого любимого числа Боба выведите «<span class="tex-font-style-tt">YES</span>», если можно построить башню, или «<span class="tex-font-style-tt">NO</span>» в противном случае (без кавычек).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 29 34 19 38 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES YES YES NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый пример разобран в условии.</p><p>Ответ на второй пример можно получить, если перевернуть верхний кубик на башне из условия.</p><p>В третьем примере достаточно единственного кубика, поставленного таким образом, что на верхней грани изображено $$$5$$$ точек.</p><p>В четвертом примере не существует башни с нужным количеством видимых точек.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="cd1e85d86ebb1c86ab43ced44d3c8849"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="9e1ad30bf76776f30f1808a7d382326337453341"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_5e0f35e5bbd90bba00704c2a53d028070b1ccef2"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Башня из кубиков</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Боб играет со стандартными $$$6$$$-гранными костями (кубиками). Развертка стандартного кубика приведена на рисунке ниже.</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/0065ec3465bffc3d36eefbdb4a5cab1e2598146d.png" style="max-width: 100.0%;max-height: 100.0%;" /></p><p>У Боба есть бесконечное число игральных кубиков, и он хочет построить из них башню, ставя один кубик на другой и выбирая ориентацию каждого нового кубика. После того, как Боб построит башню, он посчитает количество видимых точек на гранях кубиков.</p><p>Например, количество видимых точек на башне, нарисованной ниже, равно $$$29$$$ — число точек на верхней грани верхнего кубика равно $$$1$$$, а с четырех сторон башни видны грани со следующим количеством точек: $$$5$$$ и $$$3$$$ с южной стороны, $$$4$$$ и $$$2$$$ с западной стороны, $$$2$$$ и $$$4$$$ с северной стороны, и $$$3$$$ и $$$5$$$ с восточной стороны.</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/8b7b0bd353a0dc7abd2f410cbb90999b99b2a2a7.png" style="max-width: 100.0%;max-height: 100.0%;" /></p><p>Нижняя грань первого кубика (с единицей) и грани с шестью точками не видны, поэтому они не учитываются в количестве видимых точек.</p><p>У Боба есть $$$t$$$ любимых чисел $$$x_i$$$. Для каждого из чисел $$$x_i$$$ помогите Бобу узнать, можно ли построить башню из кубиков, для которой количество видимых точек равно этому числу.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$t$$$ ($$$1 \leq t \leq 1000$$$) — количество любимых чисел Боба. </p><p>Во второй строке заданы $$$t$$$ целых чисел $$$x_i$$$ ($$$1 \leq x_i \leq 10^{18}$$$) — любимые числа Боба.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого любимого числа Боба выведите «<span class="tex-font-style-tt">YES</span>», если можно построить башню, или «<span class="tex-font-style-tt">NO</span>» в противном случае (без кавычек).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 29 34 19 38 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES YES YES NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый пример разобран в условии.</p><p>Ответ на второй пример можно получить, если перевернуть верхний кубик на башне из условия.</p><p>В третьем примере достаточно единственного кубика, поставленного таким образом, что на верхней грани изображено $$$5$$$ точек.</p><p>В четвертом примере не существует башни с нужным количеством видимых точек.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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1266C	1266	C	ru	C. Разнообразная матрица	<div class="problem-statement"><div class="header"><div class="title">C. Разнообразная матрица</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть $$$a$$$ — матрица размера $$$r \times c$$$, в каждой ячейке которой записано положительное целое число (эти числа не обязательно различны). Строки матрицы пронумерованы от $$$1$$$ до $$$r$$$, а столбцы — от $$$1$$$ до $$$c$$$. Мы можем построить массив $$$b$$$, состоящий из $$$r + c$$$ целых чисел, следующим образом: для каждого $$$i \in [1, r]$$$ обозначим за $$$b_i$$$ наибольший общий делитель всех чисел в $$$i$$$-й строке, а для каждого $$$j \in [1, c]$$$ обозначим за $$$b_{r+j}$$$ наибольший общий делитель всех чисел в $$$j$$$-м столбце. </p><p>Назовем матрицу <span class="tex-font-style-bf">разнообразной</span>, если все $$$r + c$$$ чисел $$$b_k$$$ ($$$k \in [1, r + c]$$$) попарно различны. </p><p>Назовем <span class="tex-font-style-bf">модулем</span> матрицы максимальное число среди $$$b_k$$$.</p><p>Например, рассмотрим следующую матрицу:</p><center> $$$\begin{pmatrix} 2 & 9 & 7\\ 4 & 144 & 84 \end{pmatrix}$$$ </center><p>Построим массив $$$b$$$:</p><ol> <li> $$$b_1$$$ — наибольший общий делитель $$$2$$$, $$$9$$$ и $$$7$$$, он равен $$$1$$$; </li><li> $$$b_2$$$ — наибольший общий делитель $$$4$$$, $$$144$$$ и $$$84$$$, он равен $$$4$$$; </li><li> $$$b_3$$$ — наибольший общий делитель $$$2$$$ и $$$4$$$, он равен $$$2$$$; </li><li> $$$b_4$$$ — наибольший общий делитель $$$9$$$ и $$$144$$$, он равен $$$9$$$; </li><li> $$$b_5$$$ — наибольший общий делитель $$$7$$$ и $$$84$$$, он равен $$$7$$$. </li></ol><p>Итак, $$$b = [1, 4, 2, 9, 7]$$$. Все значения в этом массиве различны, поэтому матрица является разнообразной. Модулем матрицы является число $$$9$$$.</p><p>Для заданных $$$r$$$ и $$$c$$$ найдите разнообразную матрицу с минимально возможным модулем. Если таких матриц несколько, найдите любую из них. Если решения нет, выведите единственное целое число $$$0$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке заданы два целых числа $$$r$$$ и $$$c$$$ ($$$1 \leq r,c \leq 500$$$) — количество строк и столбцов в требуемой матрице.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если решения нет, выведите одно целое число $$$0$$$.</p><p>Иначе выведите $$$r$$$ строк. В $$$i$$$-й строке выведите $$$c$$$ целых чисел, разделенных пробелами, $$$j$$$-е из которых равно $$$a_{i,j}$$$ — положительному целому числу на пересечении $$$i$$$-й строки и $$$j$$$-го столбца в разнообразной матрице с минимальным модулем.</p><p>Для всех элементов матрицы должно соблюдаться условие $$$1 \leq a_{i,j} \leq 10^9$$$. Можно показать, что если решение существует, существует и решение, удовлетворяющее этим ограничениям (с тем же самым минимально возможным модулем).</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 12 2 9</pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере НОДы в строках равны $$$b_1 = 4$$$ и $$$b_2 = 1$$$, а НОДы в столбцах равны $$$b_3 = 2$$$ и $$$b_4 = 3$$$. Все НОДы различны, а максимальный из них равен $$$4$$$. Так как все НОДы должны быть различны и не могут быть меньше $$$1$$$, не существует разнообразных матриц $$$2 \times 2$$$ с модулем меньше $$$4$$$.</p><p>Во втором примере независимо от значения $$$a_{1,1}$$$ условие $$$b_1 = b_2$$$ будет всегда соблюдаться, поэтому разнообразных матриц не существует.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="36d222e1ce1618860cef604831ad1235"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - C - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="9e1ad30bf76776f30f1808a7d382326337453341"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - C - Codeforces</title> <meta name="description" content="Codeforces. 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Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1266/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_9ec4ec240283ab1bdf1cd7184f41a7b959891b1e"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Разнообразная матрица</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть $$$a$$$ — матрица размера $$$r \times c$$$, в каждой ячейке которой записано положительное целое число (эти числа не обязательно различны). Строки матрицы пронумерованы от $$$1$$$ до $$$r$$$, а столбцы — от $$$1$$$ до $$$c$$$. Мы можем построить массив $$$b$$$, состоящий из $$$r + c$$$ целых чисел, следующим образом: для каждого $$$i \in [1, r]$$$ обозначим за $$$b_i$$$ наибольший общий делитель всех чисел в $$$i$$$-й строке, а для каждого $$$j \in [1, c]$$$ обозначим за $$$b_{r+j}$$$ наибольший общий делитель всех чисел в $$$j$$$-м столбце. </p><p>Назовем матрицу <span class="tex-font-style-bf">разнообразной</span>, если все $$$r + c$$$ чисел $$$b_k$$$ ($$$k \in [1, r + c]$$$) попарно различны. </p><p>Назовем <span class="tex-font-style-bf">модулем</span> матрицы максимальное число среди $$$b_k$$$.</p><p>Например, рассмотрим следующую матрицу:</p><center> $$$\begin{pmatrix} 2 & 9 & 7\\ 4 & 144 & 84 \end{pmatrix}$$$ </center><p>Построим массив $$$b$$$:</p><ol> <li> $$$b_1$$$ — наибольший общий делитель $$$2$$$, $$$9$$$ и $$$7$$$, он равен $$$1$$$; </li><li> $$$b_2$$$ — наибольший общий делитель $$$4$$$, $$$144$$$ и $$$84$$$, он равен $$$4$$$; </li><li> $$$b_3$$$ — наибольший общий делитель $$$2$$$ и $$$4$$$, он равен $$$2$$$; </li><li> $$$b_4$$$ — наибольший общий делитель $$$9$$$ и $$$144$$$, он равен $$$9$$$; </li><li> $$$b_5$$$ — наибольший общий делитель $$$7$$$ и $$$84$$$, он равен $$$7$$$. </li></ol><p>Итак, $$$b = [1, 4, 2, 9, 7]$$$. Все значения в этом массиве различны, поэтому матрица является разнообразной. Модулем матрицы является число $$$9$$$.</p><p>Для заданных $$$r$$$ и $$$c$$$ найдите разнообразную матрицу с минимально возможным модулем. Если таких матриц несколько, найдите любую из них. Если решения нет, выведите единственное целое число $$$0$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке заданы два целых числа $$$r$$$ и $$$c$$$ ($$$1 \leq r,c \leq 500$$$) — количество строк и столбцов в требуемой матрице.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если решения нет, выведите одно целое число $$$0$$$.</p><p>Иначе выведите $$$r$$$ строк. В $$$i$$$-й строке выведите $$$c$$$ целых чисел, разделенных пробелами, $$$j$$$-е из которых равно $$$a_{i,j}$$$ — положительному целому числу на пересечении $$$i$$$-й строки и $$$j$$$-го столбца в разнообразной матрице с минимальным модулем.</p><p>Для всех элементов матрицы должно соблюдаться условие $$$1 \leq a_{i,j} \leq 10^9$$$. Можно показать, что если решение существует, существует и решение, удовлетворяющее этим ограничениям (с тем же самым минимально возможным модулем).</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 12 2 9</pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере НОДы в строках равны $$$b_1 = 4$$$ и $$$b_2 = 1$$$, а НОДы в столбцах равны $$$b_3 = 2$$$ и $$$b_4 = 3$$$. Все НОДы различны, а максимальный из них равен $$$4$$$. Так как все НОДы должны быть различны и не могут быть меньше $$$1$$$, не существует разнообразных матриц $$$2 \times 2$$$ с модулем меньше $$$4$$$.</p><p>Во втором примере независимо от значения $$$a_{1,1}$$$ условие $$$b_1 = b_2$$$ будет всегда соблюдаться, поэтому разнообразных матриц не существует.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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1266D	1266	D	ru	D. Уменьшаем долги	<div class="problem-statement"><div class="header"><div class="title">D. Уменьшаем долги</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Рассмотрим компанию из $$$n$$$ людей, пронумерованных от $$$1$$$ до $$$n$$$. Они используют бурли, чтобы платить за товары и услуги. Иногда человеку не хватает денег на какую-либо покупку, тогда он занимает деньги у другого человека с намерением потом отдать их с процентами. Мы обозначим за $$$d(a,b)$$$ сумму, которую $$$a$$$ должен отдать $$$b$$$, или $$$0$$$, если долга нет.</p><p>Иногда система долгов может усложняться — например, в ситуации, когда один человек дал на время денег другому, но первому самому не хватает денег на покупку, а второй еще не отдал долг. Тогда первому человеку придется занимать у кого-то ещё. </p><p>Если процесс одалживания денег длится достаточно долго, система долгов может стать очень сложной и потребовать упрощения. Упрощать систему можно при помощи двух операций:</p><ol> <li> Пусть $$$d(a,b) > 0$$$ и $$$d(c,d) > 0$$$, при этом $$$a \neq c$$$ или $$$b \neq d$$$. Можно уменьшить $$$d(a,b)$$$ и $$$d(c,d)$$$ на $$$z$$$ и при этом увеличить $$$d(c,b)$$$ и $$$d(a,d)$$$ на $$$z$$$, если $$$0 < z \leq \min(d(a,b),d(c,d))$$$. </li><li> Пусть $$$d(a,a) > 0$$$. Можно уменьшить $$$d(a,a)$$$ до $$$0$$$. </li></ol><p>Суммарный долг определяется следующей величиной:</p><p>$$$$$$\Sigma_d = \sum_{a,b} d(a,b)$$$$$$</p><p>Вы можете использовать ранее описанные операции в любом порядке. Ваша цель — минимизировать суммарный долг. Обратите внимание, что не обязательно минимизировать <span class="tex-font-style-bf">количество</span> ненулевых долгов, только <span class="tex-font-style-bf">суммарный долг</span> должен стать как можно меньше.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке заданы два целых числа $$$n$$$ ($$$1 \leq n \leq 10^5$$$) и $$$m$$$ ($$$0 \leq m \leq 3\cdot 10^5$$$) — количество людей и долгов, соответственно.</p><p>Далее следуют $$$m$$$ строк, каждая из которых содержит три целых числа $$$u_i$$$, $$$v_i$$$ ($$$1 \leq u_i, v_i \leq n, u_i \neq v_i$$$), $$$d_i$$$ ($$$1 \leq d_i \leq 10^9$$$), обозначающих, что человек $$$u_i$$$ должен $$$d_i$$$ бурлей человеку $$$v_i$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите число $$$m'$$$ ($$$0 \leq m' \leq 3\cdot 10^5$$$) — количество долгов после уменьшения системы долгов. Можно показать, что всегда существует способ упростить систему до минимального суммарного долга с соблюдением этого условия.</p><p>Далее выведите $$$m'$$$ строк, $$$i$$$-я из которых содержит три целых числа $$$u_i, v_i, d_i$$$, обозначающих, что человек $$$u_i$$$ должен отдать человеку $$$v_i$$$ ровно $$$d_i$$$ бурлей. На эти числа накладываются следующие ограничения: $$$1 \leq u_i, v_i \leq n$$$, $$$u_i \neq v_i$$$ и $$$0 < d_i \leq 10^{18}$$$.</p><p>Для каждой пары $$$i \neq j$$$ должно соблюдаться условие $$$u_i \neq u_j$$$ или условие $$$v_i \neq v_j$$$. Иными словами, каждая пара людей должна встречаться в выходных данных только один раз.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre>3 2<br/>1 2 10<br/>2 3 5<br/></pre></div><div class="output"><div class="title">Выходные данные</div><pre>2<br/>1 2 5<br/>1 3 5<br/></pre></div><div class="input"><div class="title">Входные данные</div><pre>3 3<br/>1 2 10<br/>2 3 15<br/>3 1 10<br/></pre></div><div class="output"><div class="title">Выходные данные</div><pre>1<br/>2 3 5<br/></pre></div><div class="input"><div class="title">Входные данные</div><pre>4 2<br/>1 2 12<br/>3 4 8<br/></pre></div><div class="output"><div class="title">Выходные данные</div><pre>2<br/>1 2 12<br/>3 4 8<br/></pre></div><div class="input"><div class="title">Входные данные</div><pre>3 4<br/>2 3 1<br/>2 3 2<br/>2 3 4<br/>2 3 8<br/></pre></div><div class="output"><div class="title">Выходные данные</div><pre>1<br/>2 3 15<br/></pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере одна из оптимальных последовательностей операций — следующая:</p><ol> <li> Проведём операцию первого типа с $$$a = 1$$$, $$$b = 2$$$, $$$c = 2$$$, $$$d = 3$$$ и $$$z = 5$$$. В результате система долгов становится следующей: $$$d(1, 2) = 5$$$, $$$d(2, 2) = 5$$$, $$$d(1, 3) = 5$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 2$$$. В результате система долгов становится следующей: $$$d(1, 2) = 5$$$, $$$d(1, 3) = 5$$$, все остальные долги равны $$$0$$$. </li></ol><p>Во втором примере одна из оптимальных последовательностей операций — следующая:</p><ol> <li> Проведём операцию первого типа с $$$a = 1$$$, $$$b = 2$$$, $$$c = 3$$$, $$$d = 1$$$ и $$$z = 10$$$. В результате система долгов становится следующей: $$$d(3, 2) = 10$$$, $$$d(2, 3) = 15$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> проведём операцию первого типа с $$$a = 2$$$, $$$b = 3$$$, $$$c = 3$$$, $$$d = 2$$$ и $$$z = 10$$$. В результате система долгов становится следующей: $$$d(2, 2) = 10$$$, $$$d(3, 3) = 10$$$, $$$d(2, 3) = 5$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 2$$$. В результате система долгов становится следующей: $$$d(3, 3) = 10$$$, $$$d(2, 3) = 5$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 3$$$. В результате система долгов становится следующей: $$$d(2, 3) = 5$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 1$$$. В результате система долгов становится следующей: $$$d(2, 3) = 5$$$, все остальные долги равны $$$0$$$. </li></ol></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="6eecc67dbe650651b84f5ab67b4caa5a"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="9e1ad30bf76776f30f1808a7d382326337453341"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D - Codeforces</title> <meta name="description" content="Codeforces. 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Конструктивные алгоритмы"> конструктив </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Интегрирование, диффуры и др."> математика </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Реализация, техника программирования, симуляция"> реализация </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Кучи, деревья отрезков, деревья поиска и др."> структуры данных </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 2000 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='6eecc67dbe650651b84f5ab67b4caa5a'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="497571"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='6eecc67dbe650651b84f5ab67b4caa5a'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="497571"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_36a0bd913a7ca27212742fe98cc5d81345d5b52f"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Уменьшаем долги</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Рассмотрим компанию из $$$n$$$ людей, пронумерованных от $$$1$$$ до $$$n$$$. Они используют бурли, чтобы платить за товары и услуги. Иногда человеку не хватает денег на какую-либо покупку, тогда он занимает деньги у другого человека с намерением потом отдать их с процентами. Мы обозначим за $$$d(a,b)$$$ сумму, которую $$$a$$$ должен отдать $$$b$$$, или $$$0$$$, если долга нет.</p><p>Иногда система долгов может усложняться — например, в ситуации, когда один человек дал на время денег другому, но первому самому не хватает денег на покупку, а второй еще не отдал долг. Тогда первому человеку придется занимать у кого-то ещё. </p><p>Если процесс одалживания денег длится достаточно долго, система долгов может стать очень сложной и потребовать упрощения. Упрощать систему можно при помощи двух операций:</p><ol> <li> Пусть $$$d(a,b) > 0$$$ и $$$d(c,d) > 0$$$, при этом $$$a \neq c$$$ или $$$b \neq d$$$. Можно уменьшить $$$d(a,b)$$$ и $$$d(c,d)$$$ на $$$z$$$ и при этом увеличить $$$d(c,b)$$$ и $$$d(a,d)$$$ на $$$z$$$, если $$$0 < z \leq \min(d(a,b),d(c,d))$$$. </li><li> Пусть $$$d(a,a) > 0$$$. Можно уменьшить $$$d(a,a)$$$ до $$$0$$$. </li></ol><p>Суммарный долг определяется следующей величиной:</p><p>$$$$$$\Sigma_d = \sum_{a,b} d(a,b)$$$$$$</p><p>Вы можете использовать ранее описанные операции в любом порядке. Ваша цель — минимизировать суммарный долг. Обратите внимание, что не обязательно минимизировать <span class="tex-font-style-bf">количество</span> ненулевых долгов, только <span class="tex-font-style-bf">суммарный долг</span> должен стать как можно меньше.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке заданы два целых числа $$$n$$$ ($$$1 \leq n \leq 10^5$$$) и $$$m$$$ ($$$0 \leq m \leq 3\cdot 10^5$$$) — количество людей и долгов, соответственно.</p><p>Далее следуют $$$m$$$ строк, каждая из которых содержит три целых числа $$$u_i$$$, $$$v_i$$$ ($$$1 \leq u_i, v_i \leq n, u_i \neq v_i$$$), $$$d_i$$$ ($$$1 \leq d_i \leq 10^9$$$), обозначающих, что человек $$$u_i$$$ должен $$$d_i$$$ бурлей человеку $$$v_i$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите число $$$m'$$$ ($$$0 \leq m' \leq 3\cdot 10^5$$$) — количество долгов после уменьшения системы долгов. Можно показать, что всегда существует способ упростить систему до минимального суммарного долга с соблюдением этого условия.</p><p>Далее выведите $$$m'$$$ строк, $$$i$$$-я из которых содержит три целых числа $$$u_i, v_i, d_i$$$, обозначающих, что человек $$$u_i$$$ должен отдать человеку $$$v_i$$$ ровно $$$d_i$$$ бурлей. На эти числа накладываются следующие ограничения: $$$1 \leq u_i, v_i \leq n$$$, $$$u_i \neq v_i$$$ и $$$0 < d_i \leq 10^{18}$$$.</p><p>Для каждой пары $$$i \neq j$$$ должно соблюдаться условие $$$u_i \neq u_j$$$ или условие $$$v_i \neq v_j$$$. Иными словами, каждая пара людей должна встречаться в выходных данных только один раз.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre>3 2<br />1 2 10<br />2 3 5<br /></pre></div><div class="output"><div class="title">Выходные данные</div><pre>2<br />1 2 5<br />1 3 5<br /></pre></div><div class="input"><div class="title">Входные данные</div><pre>3 3<br />1 2 10<br />2 3 15<br />3 1 10<br /></pre></div><div class="output"><div class="title">Выходные данные</div><pre>1<br />2 3 5<br /></pre></div><div class="input"><div class="title">Входные данные</div><pre>4 2<br />1 2 12<br />3 4 8<br /></pre></div><div class="output"><div class="title">Выходные данные</div><pre>2<br />1 2 12<br />3 4 8<br /></pre></div><div class="input"><div class="title">Входные данные</div><pre>3 4<br />2 3 1<br />2 3 2<br />2 3 4<br />2 3 8<br /></pre></div><div class="output"><div class="title">Выходные данные</div><pre>1<br />2 3 15<br /></pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере одна из оптимальных последовательностей операций — следующая:</p><ol> <li> Проведём операцию первого типа с $$$a = 1$$$, $$$b = 2$$$, $$$c = 2$$$, $$$d = 3$$$ и $$$z = 5$$$. В результате система долгов становится следующей: $$$d(1, 2) = 5$$$, $$$d(2, 2) = 5$$$, $$$d(1, 3) = 5$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 2$$$. В результате система долгов становится следующей: $$$d(1, 2) = 5$$$, $$$d(1, 3) = 5$$$, все остальные долги равны $$$0$$$. </li></ol><p>Во втором примере одна из оптимальных последовательностей операций — следующая:</p><ol> <li> Проведём операцию первого типа с $$$a = 1$$$, $$$b = 2$$$, $$$c = 3$$$, $$$d = 1$$$ и $$$z = 10$$$. В результате система долгов становится следующей: $$$d(3, 2) = 10$$$, $$$d(2, 3) = 15$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> проведём операцию первого типа с $$$a = 2$$$, $$$b = 3$$$, $$$c = 3$$$, $$$d = 2$$$ и $$$z = 10$$$. В результате система долгов становится следующей: $$$d(2, 2) = 10$$$, $$$d(3, 3) = 10$$$, $$$d(2, 3) = 5$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 2$$$. В результате система долгов становится следующей: $$$d(3, 3) = 10$$$, $$$d(2, 3) = 5$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 3$$$. В результате система долгов становится следующей: $$$d(2, 3) = 5$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 1$$$. В результате система долгов становится следующей: $$$d(2, 3) = 5$$$, все остальные долги равны $$$0$$$. </li></ol></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); 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1266E	1266	E	ru	E. Космический Солитер	<div class="problem-statement"><div class="header"><div class="title">E. Космический Солитер</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Боб играет в игру «Космический Солитер». Цель этой игры — построить космический корабль, но для ее достижения требуется сначала собрать достаточное количество ресурсов $$$n$$$ типов, пронумерованных от $$$1$$$ до $$$n$$$. Боб должен собрать не менее $$$a_i$$$ единиц $$$i$$$-го ресурса. Для удобства назовем $$$a_i$$$ <span class="tex-font-style-bf">целью для ресурса $$$i$$$</span>.</p><p>Для производства одной единицы любого ресурса нужно потратить $$$1$$$ ход (и каждый ход можно производить только один ресурс). Однако для ускорения игры в ней введена система достижений. Каждое достижение описывается тройкой $$$(s_j, t_j, u_j)$$$ и обозначает следующее: как только Боб соберет $$$t_j$$$ единиц ресурса $$$s_j$$$, он сразу же получит дополнительную единицу ресурса $$$u_j$$$, не тратя ход на ее производство. Возможно, награда за достижение позволит активировать другое достижение — таким образом за один ход можно набрать большое количество разных ресурсов.</p><p>Система достижений устроена таким образом, что не существует двух достижений, у которых одновременно одинаковые $$$s_j$$$ <span class="tex-font-style-bf">и</span> $$$t_j$$$. То есть за достижение $$$t_j$$$ единиц ресурса $$$s_j$$$ нельзя получить в награду более одного ресурса.</p><p><span class="tex-font-style-bf">Ни один бонусный ресурс не дается за достижение $$$0$$$ единиц какого-либо ресурса. Также не существует достижений, для которых надо собрать $$$a_i$$$ или более соответствующего ресурса. Формально, $$$0 < t_j < a_{s_j}$$$.</span></p><p>Могут существовать достижения, для которых тип требуемого ресурса совпадает с типом бонусного ресурса, то есть $$$s_j = u_j$$$.</p><p>Изначально в игре нет достижений. Вам нужно обработать $$$q$$$ обновлений игры, каждое из которых добавляет, удаляет или меняет какое-то достижение. После каждого обновления посчитайте минимальное количество ходов, требуемое для завершения игры (то есть для того, чтобы собрать не менее $$$a_i$$$ единиц $$$i$$$-го ресурса для всех $$$i \in [1, n]$$$).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$1 \leq n \leq 2 \cdot 10^5$$$) — количество типов ресурсов.</p><p>Во второй строке заданы $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \leq a_i \leq 10^9$$$), $$$i$$$-е из которых — цель для $$$i$$$-го ресурса.</p><p>В третьей строке задано одно целое число $$$q$$$ ($$$1 \leq q \leq 10^5$$$) — количество обновлений в системе достижений.</p><p>Затем следуют $$$q$$$ строк, $$$j$$$-я из которых содержит три целых числа $$$s_j$$$, $$$t_j$$$, $$$u_j$$$ ($$$1 \leq s_j \leq n$$$, $$$1 \leq t_j < a_{s_j}$$$, $$$0 \leq u_j \leq n$$$). Для каждой тройки проведите следующие действия: </p><ul> <li> Сначала, если уже существует достижение, требующее набрать $$$t_j$$$ единиц ресурса $$$s_j$$$, удалите его. </li><li> Если $$$u_j = 0$$$, не добавляйте никаких достижений. </li><li> Если $$$u_j \neq 0$$$, добавьте новое достижение: «Если вы соберете $$$t_j$$$ единиц ресурса $$$s_j$$$, вы получите одну единицу ресурса $$$u_j$$$». </li><li> Выведите минимальное количество ходов, требуемое для завершения игры. </li></ul></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$q$$$ строк, в $$$i$$$-й из которых должно быть одно целое число — ответ на задачу после $$$i$$$-го обновления.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 3 5 2 1 1 2 2 1 1 1 1 2 1 2 2 2 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 3 2 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>После первого обновления оптимальная стратегия — следующая: произвести ресурс $$$2$$$ и получить бесплатно ресурс $$$1$$$. Затем произвести ресурс $$$2$$$ дважды и $$$1$$$ один раз, и мы завершим игру за четыре хода.</p><p>После второго обновления оптимальная стратегия состоит в том, чтобы произвести ресурс $$$2$$$ три раза — в первые два хода мы дополнительно получим по единице ресурса $$$1$$$.</p><p>После третьего обновления оптимальная стратегия — следующая: </p><ul> <li> Сначала произвести единицу ресурса $$$2$$$ и получить бесплатную единицу $$$1$$$. После этого мы получим еще одну бесплатную единицу $$$1$$$. Количество ресурсов: $$$[2, 1]$$$. </li><li> После этого произвести единицу ресурса $$$2$$$ и получить еще одну бесплатную единицу $$$1$$$. </li><li> Опять произвести единицу ресурса $$$2$$$. </li></ul><p>Количество ресурсов в конце игры: $$$[3, 3]$$$. Для достижения цели нам потребовалось три хода. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_06cf71823015a701b520ef3f67d59b5ee65752db"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Космический Солитер</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Боб играет в игру «Космический Солитер». Цель этой игры — построить космический корабль, но для ее достижения требуется сначала собрать достаточное количество ресурсов $$$n$$$ типов, пронумерованных от $$$1$$$ до $$$n$$$. Боб должен собрать не менее $$$a_i$$$ единиц $$$i$$$-го ресурса. Для удобства назовем $$$a_i$$$ <span class="tex-font-style-bf">целью для ресурса $$$i$$$</span>.</p><p>Для производства одной единицы любого ресурса нужно потратить $$$1$$$ ход (и каждый ход можно производить только один ресурс). Однако для ускорения игры в ней введена система достижений. Каждое достижение описывается тройкой $$$(s_j, t_j, u_j)$$$ и обозначает следующее: как только Боб соберет $$$t_j$$$ единиц ресурса $$$s_j$$$, он сразу же получит дополнительную единицу ресурса $$$u_j$$$, не тратя ход на ее производство. Возможно, награда за достижение позволит активировать другое достижение — таким образом за один ход можно набрать большое количество разных ресурсов.</p><p>Система достижений устроена таким образом, что не существует двух достижений, у которых одновременно одинаковые $$$s_j$$$ <span class="tex-font-style-bf">и</span> $$$t_j$$$. То есть за достижение $$$t_j$$$ единиц ресурса $$$s_j$$$ нельзя получить в награду более одного ресурса.</p><p><span class="tex-font-style-bf">Ни один бонусный ресурс не дается за достижение $$$0$$$ единиц какого-либо ресурса. Также не существует достижений, для которых надо собрать $$$a_i$$$ или более соответствующего ресурса. Формально, $$$0 < t_j < a_{s_j}$$$.</span></p><p>Могут существовать достижения, для которых тип требуемого ресурса совпадает с типом бонусного ресурса, то есть $$$s_j = u_j$$$.</p><p>Изначально в игре нет достижений. Вам нужно обработать $$$q$$$ обновлений игры, каждое из которых добавляет, удаляет или меняет какое-то достижение. После каждого обновления посчитайте минимальное количество ходов, требуемое для завершения игры (то есть для того, чтобы собрать не менее $$$a_i$$$ единиц $$$i$$$-го ресурса для всех $$$i \in [1, n]$$$).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$1 \leq n \leq 2 \cdot 10^5$$$) — количество типов ресурсов.</p><p>Во второй строке заданы $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \leq a_i \leq 10^9$$$), $$$i$$$-е из которых — цель для $$$i$$$-го ресурса.</p><p>В третьей строке задано одно целое число $$$q$$$ ($$$1 \leq q \leq 10^5$$$) — количество обновлений в системе достижений.</p><p>Затем следуют $$$q$$$ строк, $$$j$$$-я из которых содержит три целых числа $$$s_j$$$, $$$t_j$$$, $$$u_j$$$ ($$$1 \leq s_j \leq n$$$, $$$1 \leq t_j < a_{s_j}$$$, $$$0 \leq u_j \leq n$$$). Для каждой тройки проведите следующие действия: </p><ul> <li> Сначала, если уже существует достижение, требующее набрать $$$t_j$$$ единиц ресурса $$$s_j$$$, удалите его. </li><li> Если $$$u_j = 0$$$, не добавляйте никаких достижений. </li><li> Если $$$u_j \neq 0$$$, добавьте новое достижение: «Если вы соберете $$$t_j$$$ единиц ресурса $$$s_j$$$, вы получите одну единицу ресурса $$$u_j$$$». </li><li> Выведите минимальное количество ходов, требуемое для завершения игры. </li></ul></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$q$$$ строк, в $$$i$$$-й из которых должно быть одно целое число — ответ на задачу после $$$i$$$-го обновления.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 3 5 2 1 1 2 2 1 1 1 1 2 1 2 2 2 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 3 2 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>После первого обновления оптимальная стратегия — следующая: произвести ресурс $$$2$$$ и получить бесплатно ресурс $$$1$$$. Затем произвести ресурс $$$2$$$ дважды и $$$1$$$ один раз, и мы завершим игру за четыре хода.</p><p>После второго обновления оптимальная стратегия состоит в том, чтобы произвести ресурс $$$2$$$ три раза — в первые два хода мы дополнительно получим по единице ресурса $$$1$$$.</p><p>После третьего обновления оптимальная стратегия — следующая: </p><ul> <li> Сначала произвести единицу ресурса $$$2$$$ и получить бесплатную единицу $$$1$$$. После этого мы получим еще одну бесплатную единицу $$$1$$$. Количество ресурсов: $$$[2, 1]$$$. </li><li> После этого произвести единицу ресурса $$$2$$$ и получить еще одну бесплатную единицу $$$1$$$. </li><li> Опять произвести единицу ресурса $$$2$$$. </li></ul><p>Количество ресурсов в конце игры: $$$[3, 3]$$$. Для достижения цели нам потребовалось три хода. Обратите внимание, что у нас есть лишняя единица ресурса $$$1$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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1266F	1266	F	ru	F. Почти одинаковое расстояние	<div class="problem-statement"><div class="header"><div class="title">F. Почти одинаковое расстояние</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>5 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть $$$G$$$ — простой граф, а $$$W$$$ — непустое подмножество множества вершин этого графа. Назовем $$$W$$$ <span class="tex-font-style-bf">почти-$$$k$$$-единым</span>, если для каждой пары различных вершин $$$u,v \in W$$$ расстояние между $$$u$$$ и $$$v$$$ равно либо $$$k$$$, либо $$$k+1$$$.</p><p>Вам задано дерево из $$$n$$$ вершин. Для каждого $$$i$$$ от $$$1$$$ до $$$n$$$ найдите максимальный размер почти-$$$i$$$-единого множества вершин.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$2 \leq n \leq 5 \cdot 10^5$$$) — количество вершин в дереве.</p><p>Затем следуют $$$n-1$$$ строк, $$$i$$$-я из которых содержит два целых числа $$$u_i$$$, $$$v_i$$$ ($$$1 \leq u_i, v_i \leq n$$$), обозначающих, что существует ребро, соединяющее вершины $$$u_i$$$ и $$$v_i$$$. </p><p>Гарантируется, что заданный граф — дерево. </p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одну строку, содержащую $$$n$$$ целых чисел $$$a_i$$$, где $$$a_i$$$ — максимальный размер почти-$$$i$$$-единого множества.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 1 3 1 4 4 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 2 1 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 1 2 1 3 1 4 4 5 4 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 4 2 1 1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Рассмотрим первый пример. </p><ul> <li> Единственное максимальное почти-$$$1$$$-единое множество вершин — это $$$\{1, 2, 3, 4\}$$$. </li><li> Одно из максимальных почти-$$$2$$$-единых множеств — $$$\{2, 3, 5\}$$$, также таким множеством является $$$\{2, 3, 4\}$$$. </li><li> Максимальное почти-$$$3$$$-единое множество — любые две вершины на расстоянии $$$3$$$. </li><li> Почти-$$$k$$$-единое множество может состоять из единственной (любой) вершины для любого $$$k \geq 1$$$. </li></ul><p>Во втором примере существует почти-$$$2$$$-единое множество размера $$$4$$$: $$$\{2, 3, 5, 6\}$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="8b61fcc823a7b3cea2bc2cef25464749"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - F - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="9e1ad30bf76776f30f1808a7d382326337453341"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - F - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_bc539f0b5a90ae435a3c284a958e59e4854a9944"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Почти одинаковое расстояние</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>5 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть $$$G$$$ — простой граф, а $$$W$$$ — непустое подмножество множества вершин этого графа. Назовем $$$W$$$ <span class="tex-font-style-bf">почти-$$$k$$$-единым</span>, если для каждой пары различных вершин $$$u,v \in W$$$ расстояние между $$$u$$$ и $$$v$$$ равно либо $$$k$$$, либо $$$k+1$$$.</p><p>Вам задано дерево из $$$n$$$ вершин. Для каждого $$$i$$$ от $$$1$$$ до $$$n$$$ найдите максимальный размер почти-$$$i$$$-единого множества вершин.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$2 \leq n \leq 5 \cdot 10^5$$$) — количество вершин в дереве.</p><p>Затем следуют $$$n-1$$$ строк, $$$i$$$-я из которых содержит два целых числа $$$u_i$$$, $$$v_i$$$ ($$$1 \leq u_i, v_i \leq n$$$), обозначающих, что существует ребро, соединяющее вершины $$$u_i$$$ и $$$v_i$$$. </p><p>Гарантируется, что заданный граф — дерево. </p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одну строку, содержащую $$$n$$$ целых чисел $$$a_i$$$, где $$$a_i$$$ — максимальный размер почти-$$$i$$$-единого множества.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 1 3 1 4 4 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 2 1 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 1 2 1 3 1 4 4 5 4 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 4 2 1 1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Рассмотрим первый пример. </p><ul> <li> Единственное максимальное почти-$$$1$$$-единое множество вершин — это $$$\{1, 2, 3, 4\}$$$. </li><li> Одно из максимальных почти-$$$2$$$-единых множеств — $$$\{2, 3, 5\}$$$, также таким множеством является $$$\{2, 3, 4\}$$$. </li><li> Максимальное почти-$$$3$$$-единое множество — любые две вершины на расстоянии $$$3$$$. </li><li> Почти-$$$k$$$-единое множество может состоять из единственной (любой) вершины для любого $$$k \geq 1$$$. </li></ul><p>Во втором примере существует почти-$$$2$$$-единое множество размера $$$4$$$: $$$\{2, 3, 5, 6\}$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); 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1266G	1266	G	ru	G. Конкатенация перестановок	<div class="problem-statement"><div class="header"><div class="title">G. Конкатенация перестановок</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть $$$n$$$ — произвольное целое число. Рассмотрим все перестановки чисел от $$$1$$$ до $$$n$$$ в лексикографическом порядке и конкатенируем их в одну большую последовательность $$$P$$$. Например, если $$$n = 3$$$, то $$$P = [1, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 2, 1]$$$. Длина такой последовательности равна $$$n \cdot n!$$$.</p><p>Пусть $$$1 \leq i \leq j \leq n \cdot n!$$$ — пара индексов. Последовательность $$$(P_i, P_{i+1}, \dots, P_{j-1}, P_j)$$$ называется <span class="tex-font-style-bf">подмассивом</span> $$$P$$$. </p><p>Вам дано число $$$n$$$. Найдите количество различных подмассивов $$$P$$$. Так как это число может быть большим, выведите его по модулю $$$998244353$$$ (это простое число). </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$1 \leq n \leq 10^6$$$), описанное в условии.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество различных подмассивов, взятое по модулю $$$998244353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 8 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 19210869 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере $$$P = [1, 2, 2, 1]$$$. У нее восемь различных подмассивов: $$$[1]$$$, $$$[2]$$$, $$$[1, 2]$$$, $$$[2, 1]$$$, $$$[2, 2]$$$, $$$[1, 2, 2]$$$, $$$[2, 2, 1]$$$ и $$$[1, 2, 2, 1]$$$. </p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="e9f7f672bb9991a1878b028181c2cc86"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - G - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="9e1ad30bf76776f30f1808a7d382326337453341"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - G - Codeforces</title> <meta name="description" content="Codeforces. 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params[key] = value; } }); $.post(dataPageUrl, params, function (result) { if (result["success"] !== "true") { Codeforces.showMessage("Не удалось сохранить состояние блока."); } }, "json"); return false; }); }) </script> </div> <div class="roundbox sidebox borderTopRound " style=""> <div class="caption titled">→ Теги задачи <div class="top-links"> </div> </div> <div style="padding: 0.5em;"> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Суффиксные массивы, деревья и автоматы"> строковые суфф. структуры </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 3300 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='e9f7f672bb9991a1878b028181c2cc86'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="497574"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='e9f7f672bb9991a1878b028181c2cc86'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="497574"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="G" data-uuid="ps_5e6e1af203e274e7587014563f87eb63a4d08792"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">G. Конкатенация перестановок</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть $$$n$$$ — произвольное целое число. Рассмотрим все перестановки чисел от $$$1$$$ до $$$n$$$ в лексикографическом порядке и конкатенируем их в одну большую последовательность $$$P$$$. Например, если $$$n = 3$$$, то $$$P = [1, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 2, 1]$$$. Длина такой последовательности равна $$$n \cdot n!$$$.</p><p>Пусть $$$1 \leq i \leq j \leq n \cdot n!$$$ — пара индексов. Последовательность $$$(P_i, P_{i+1}, \dots, P_{j-1}, P_j)$$$ называется <span class="tex-font-style-bf">подмассивом</span> $$$P$$$. </p><p>Вам дано число $$$n$$$. Найдите количество различных подмассивов $$$P$$$. Так как это число может быть большим, выведите его по модулю $$$998244353$$$ (это простое число). </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$1 \leq n \leq 10^6$$$), описанное в условии.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество различных подмассивов, взятое по модулю $$$998244353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 8 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 19210869 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере $$$P = [1, 2, 2, 1]$$$. У нее восемь различных подмассивов: $$$[1]$$$, $$$[2]$$$, $$$[1, 2]$$$, $$$[2, 1]$$$, $$$[2, 2]$$$, $$$[1, 2, 2]$$$, $$$[2, 2, 1]$$$ и $$$[1, 2, 2, 1]$$$. </p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=G]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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1266H	1266	H	ru	H. Красно-синий граф	<div class="problem-statement"><div class="header"><div class="title">H. Красно-синий граф</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>4 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Дан ориентированный граф из $$$n$$$ вершин, пронумерованных от $$$1$$$ до $$$n$$$, в котором из каждой вершины (кроме $$$n$$$) исходит две дуги, красная и синяя. В любой момент времени ровно одна исходящая дуга является <span class="tex-font-style-it">активной</span> для каждой вершины. Изначально все синие дуги активны, а в вершине $$$1$$$ находится фишка. В начале каждой секунды у вершины, в которой стоит фишка, меняется активная дуга. Затем фишка перемещается по активной дуге. Когда фишка достигает вершины $$$n$$$, она останавливается. Гарантируется, что вершина $$$n$$$ достижима по дугам из всех остальных вершин графа.</p><p>Вам задаются $$$q$$$ запросов, в каждом из которых описывается состояние графа — пара $$$(v, s)$$$ следующего вида: </p><ul> <li> $$$v$$$ — вершина, в которой находится фишка; </li><li> $$$s$$$ — строка из $$$n - 1$$$ символов. $$$i$$$-й символ обозначает, какая дуга, ведущая из $$$i$$$, активна (красная, если символ равен '<span class="tex-font-style-tt">R</span>', или синяя, если символ — '<span class="tex-font-style-tt">B</span>'). </li></ul><p>Для каждого запроса определите, достижимо ли заданное состояние из стартового, и если да — когда такое состояние графа появится в первый раз. Обратите внимание, что заданные две операции неразрывны между собой — состояние не считается достигнутым, если оно появляется после изменения активной дуги, но до того, как фишку переместили по дуге.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$2 \leq n \leq 58$$$) — количество вершин.</p><p>Далее следуют $$$n-1$$$ строк, $$$i$$$-я из которых содержит два целых числа $$$b_i$$$ и $$$r_i$$$ ($$$1 \leq b_i, r_i \leq n$$$), обозначающих синюю дугу $$$(i, b_i)$$$ и красную дугу $$$(i, r_i)$$$, соответственно. Гарантируется, что вершина $$$n$$$ достижима из всех остальных.</p><p>Следующая строка содержит одно целое число $$$q$$$ ($$$1 \leq q \leq 5000$$$) — количество запросов.</p><p>Затем следуют $$$q$$$ строк с запросами. $$$j$$$-я из них содержит целое число $$$v$$$ ($$$1 \leq v < n$$$) и строку $$$s$$$ из $$$n-1$$$ символов, каждый из которых либо '<span class="tex-font-style-tt">R</span>', либо '<span class="tex-font-style-tt">B</span>'. $$$i$$$-й из этих символов равен '<span class="tex-font-style-tt">R</span>', если красная дуга, ведущая из вершины $$$i$$$, активна, иначе этот символ равен '<span class="tex-font-style-tt">B</span>'.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$q$$$ чисел, каждое из которых содержит ответ на один запрос.</p><p>Если состояние в $$$i$$$-м запросе недостижимо, выведите $$$-1$$$. Иначе выведите $$$t_i$$$ — первый момент времени, когда это состояние появилось (выводите время в секундах, начиная отсчет с секунды $$$0$$$, в которую появилось стартовое состояние).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 2 1 5 5 2 1 6 3 4 3 21 1 BBBBB 1 RBBBB 2 BBBBB 5 BRBBB 3 BRBBR 1 BRRBR 1 RRRBR 2 BRRBR 5 BBRBR 4 BBRBB 3 BBRRB 2 BBBRB 5 BRBRB 3 BRBRR 1 BRRRR 1 RRRRR 2 BRRRR 5 BBRRR 4 BBRRB 2 BRBBB 4 BRBBR </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 -1 -1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На картине изображен граф из первого примера.</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/84be2cb4eb3130e1238892f1f1cd7d6e9c02a773.png" style="max-width: 100.0%;max-height: 100.0%;"/></p><p>Первые $$$19$$$ запросов показывают перемещение фишки. После $$$19$$$-го шага фишка достигает вершины $$$6$$$. Последние два запроса соответствуют недостижимым состояниям.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="c13f05aa9ce3a477fb3a999506cc20ea"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - H - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="9e1ad30bf76776f30f1808a7d382326337453341"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - H - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="H" data-uuid="ps_4d6cfd914eeb07457acfc82cb848d5721e5a939f"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">H. Красно-синий граф</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>4 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Дан ориентированный граф из $$$n$$$ вершин, пронумерованных от $$$1$$$ до $$$n$$$, в котором из каждой вершины (кроме $$$n$$$) исходит две дуги, красная и синяя. В любой момент времени ровно одна исходящая дуга является <span class="tex-font-style-it">активной</span> для каждой вершины. Изначально все синие дуги активны, а в вершине $$$1$$$ находится фишка. В начале каждой секунды у вершины, в которой стоит фишка, меняется активная дуга. Затем фишка перемещается по активной дуге. Когда фишка достигает вершины $$$n$$$, она останавливается. Гарантируется, что вершина $$$n$$$ достижима по дугам из всех остальных вершин графа.</p><p>Вам задаются $$$q$$$ запросов, в каждом из которых описывается состояние графа — пара $$$(v, s)$$$ следующего вида: </p><ul> <li> $$$v$$$ — вершина, в которой находится фишка; </li><li> $$$s$$$ — строка из $$$n - 1$$$ символов. $$$i$$$-й символ обозначает, какая дуга, ведущая из $$$i$$$, активна (красная, если символ равен '<span class="tex-font-style-tt">R</span>', или синяя, если символ — '<span class="tex-font-style-tt">B</span>'). </li></ul><p>Для каждого запроса определите, достижимо ли заданное состояние из стартового, и если да — когда такое состояние графа появится в первый раз. Обратите внимание, что заданные две операции неразрывны между собой — состояние не считается достигнутым, если оно появляется после изменения активной дуги, но до того, как фишку переместили по дуге.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$2 \leq n \leq 58$$$) — количество вершин.</p><p>Далее следуют $$$n-1$$$ строк, $$$i$$$-я из которых содержит два целых числа $$$b_i$$$ и $$$r_i$$$ ($$$1 \leq b_i, r_i \leq n$$$), обозначающих синюю дугу $$$(i, b_i)$$$ и красную дугу $$$(i, r_i)$$$, соответственно. Гарантируется, что вершина $$$n$$$ достижима из всех остальных.</p><p>Следующая строка содержит одно целое число $$$q$$$ ($$$1 \leq q \leq 5000$$$) — количество запросов.</p><p>Затем следуют $$$q$$$ строк с запросами. $$$j$$$-я из них содержит целое число $$$v$$$ ($$$1 \leq v < n$$$) и строку $$$s$$$ из $$$n-1$$$ символов, каждый из которых либо '<span class="tex-font-style-tt">R</span>', либо '<span class="tex-font-style-tt">B</span>'. $$$i$$$-й из этих символов равен '<span class="tex-font-style-tt">R</span>', если красная дуга, ведущая из вершины $$$i$$$, активна, иначе этот символ равен '<span class="tex-font-style-tt">B</span>'.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$q$$$ чисел, каждое из которых содержит ответ на один запрос.</p><p>Если состояние в $$$i$$$-м запросе недостижимо, выведите $$$-1$$$. Иначе выведите $$$t_i$$$ — первый момент времени, когда это состояние появилось (выводите время в секундах, начиная отсчет с секунды $$$0$$$, в которую появилось стартовое состояние).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 2 1 5 5 2 1 6 3 4 3 21 1 BBBBB 1 RBBBB 2 BBBBB 5 BRBBB 3 BRBBR 1 BRRBR 1 RRRBR 2 BRRBR 5 BBRBR 4 BBRBB 3 BBRRB 2 BBBRB 5 BRBRB 3 BRBRR 1 BRRRR 1 RRRRR 2 BRRRR 5 BBRRR 4 BBRRB 2 BRBBB 4 BRBBR </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 -1 -1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На картине изображен граф из первого примера.</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/84be2cb4eb3130e1238892f1f1cd7d6e9c02a773.png" style="max-width: 100.0%;max-height: 100.0%;" /></p><p>Первые $$$19$$$ запросов показывают перемещение фишки. После $$$19$$$-го шага фишка достигает вершины $$$6$$$. Последние два запроса соответствуют недостижимым состояниям.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=H]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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1267B	1267	B	ru	B. Balls of Buma	<div class="problem-statement"><div class="header"><div class="title">B. Balls of Buma</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Balph is learning to play a game called Buma. In this game, he is given a row of colored balls. He has to choose the color of one new ball and the place to insert it (between two balls, or to the left of all the balls, or to the right of all the balls).</p><p>When the ball is inserted the following happens repeatedly: if some segment of balls of the same color became longer as a result of a previous action and its length became at least $$$3$$$, then all the balls of this segment are eliminated. </p><p>Consider, for example, a row of balls '<span class="tex-font-style-tt">AAABBBWWBB</span>'. Suppose Balph chooses a ball of color '<span class="tex-font-style-tt">W</span>' and the place to insert it after the sixth ball, i. e. to the left of the two '<span class="tex-font-style-tt">W</span>'s. After Balph inserts this ball, the balls of color '<span class="tex-font-style-tt">W</span>' are eliminated, since this segment was made longer and has length $$$3$$$ now, so the row becomes '<span class="tex-font-style-tt">AAABBBBB</span>'. The balls of color '<span class="tex-font-style-tt">B</span>' are eliminated now, because the segment of balls of color '<span class="tex-font-style-tt">B</span>' became longer and has length $$$5$$$ now. Thus, the row becomes '<span class="tex-font-style-tt">AAA</span>'. However, none of the balls are eliminated now, because there is no elongated segment.</p><p>Help Balph count the number of possible ways to choose a color of a new ball and a place to insert it that leads to the elimination of all the balls.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The only line contains a non-empty string of uppercase English letters of length at most $$$3 \cdot 10^5$$$. Each letter represents a ball with the corresponding color.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Output the number of ways to choose a color and a position of a new ball in order to eliminate all the balls.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> BBWWBB </pre></div><div class="output"><div class="title">Output</div><pre> 3 </pre></div><div class="input"><div class="title">Input</div><pre> BWWB </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> BBWBB </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> OOOWWW </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> WWWOOOOOOWWW </pre></div><div class="output"><div class="title">Output</div><pre> 7 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="388883efba202ac850073f28137d3bc2"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8455a75856313b1366f723c7628edbb8cf61c484"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1267/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/71764" title="71764" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9993" resourceName="71764" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="http://nerc.itmo.ru/archive/2019/nerc-2019-tutorial.pdf" title="nerc-2019-tutorial.pdf" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9992" resourceName="nerc-2019-tutorial.pdf" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1267">Задачи</a></li> <li><a href="/contest/1267/submit">Отослать</a></li> <li><a href="/contest/1267/my">Мои посылки</a></li> <li><a href="/contest/1267/status">Статус</a></li> <li><a href="/contest/1267/standings">Положение</a></li> <li><a href="/contest/1267/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_2591ea9d8a111d3b7a1f5d405c1aa5fcd9bb9000"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Balls of Buma</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Balph is learning to play a game called Buma. In this game, he is given a row of colored balls. He has to choose the color of one new ball and the place to insert it (between two balls, or to the left of all the balls, or to the right of all the balls).</p><p>When the ball is inserted the following happens repeatedly: if some segment of balls of the same color became longer as a result of a previous action and its length became at least $$$3$$$, then all the balls of this segment are eliminated. </p><p>Consider, for example, a row of balls '<span class="tex-font-style-tt">AAABBBWWBB</span>'. Suppose Balph chooses a ball of color '<span class="tex-font-style-tt">W</span>' and the place to insert it after the sixth ball, i. e. to the left of the two '<span class="tex-font-style-tt">W</span>'s. After Balph inserts this ball, the balls of color '<span class="tex-font-style-tt">W</span>' are eliminated, since this segment was made longer and has length $$$3$$$ now, so the row becomes '<span class="tex-font-style-tt">AAABBBBB</span>'. The balls of color '<span class="tex-font-style-tt">B</span>' are eliminated now, because the segment of balls of color '<span class="tex-font-style-tt">B</span>' became longer and has length $$$5$$$ now. Thus, the row becomes '<span class="tex-font-style-tt">AAA</span>'. However, none of the balls are eliminated now, because there is no elongated segment.</p><p>Help Balph count the number of possible ways to choose a color of a new ball and a place to insert it that leads to the elimination of all the balls.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The only line contains a non-empty string of uppercase English letters of length at most $$$3 \cdot 10^5$$$. Each letter represents a ball with the corresponding color.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Output the number of ways to choose a color and a position of a new ball in order to eliminate all the balls.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> BBWWBB </pre></div><div class="output"><div class="title">Output</div><pre> 3 </pre></div><div class="input"><div class="title">Input</div><pre> BWWB </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> BBWBB </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> OOOWWW </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> WWWOOOOOOWWW </pre></div><div class="output"><div class="title">Output</div><pre> 7 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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1267D	1267	D	ru	D. DevOps Best Practices	<div class="problem-statement"><div class="header"><div class="title">D. DevOps Best Practices</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Daisy is a senior software engineer at RainyDay, LLC. She has just implemented three new features in their product: the first feature makes their product work, the second one makes their product fast, and the third one makes their product correct. The company encourages at least some testing of new features, so Daisy appointed her intern Demid to write some tests for the new features.</p><p>Interestingly enough, these three features pass all the tests on Demid's development server, which has index 1, but might fail the tests on some other servers.</p><p>After Demid has completed this task, Daisy appointed you to deploy these three features to all $$$n$$$ servers of your company. For every feature $$$f$$$ and every server $$$s$$$, Daisy told you whether she wants the feature $$$f$$$ to be deployed on the server $$$s$$$. If she wants it to be deployed, it must be done even if the feature $$$f$$$ fails the tests on the server $$$s$$$. If she does not want it to be deployed, you may not deploy it there.</p><p>Your company has two important instruments for the deployment of new features to servers: Continuous Deployment (CD) and Continuous Testing (CT). CD can be established between several pairs of servers, forming a directed graph. CT can be set up on some set of servers.</p><p>If CD is configured from the server $$$s_1$$$ to the server $$$s_2$$$ then every time $$$s_1$$$ receives a new feature $$$f$$$ the system starts the following deployment process of $$$f$$$ to $$$s_2$$$:</p><ul> <li> If the feature $$$f$$$ is already deployed on the server $$$s_2$$$, then nothing is done. </li><li> Otherwise, if CT is not set up on the server $$$s_1$$$, then the server $$$s_1$$$ just deploys the feature $$$f$$$ to the server $$$s_2$$$ without any testing. </li><li> Otherwise, the server $$$s_1$$$ runs tests for the feature $$$f$$$. If the tests fail on the server $$$s_1$$$, nothing is done. If the tests pass, then the server $$$s_1$$$ deploys the feature $$$f$$$ to the server $$$s_2$$$. </li></ul><p>You are to configure the CD/CT system, and after that Demid will deploy all three features on his development server. Your CD/CT system must deploy each feature exactly to the set of servers that Daisy wants.</p><p>Your company does not have a lot of computing resources, so you can establish CD from one server to another at most $$$264$$$ times.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains integer $$$n$$$ ($$$2 \le n \le 256$$$) — the number of servers in your company.</p><p>Next $$$n$$$ lines contain three integers each. The $$$j$$$-th integer in the $$$i$$$-th line is $$$1$$$ if Daisy wants the $$$j$$$-th feature to be deployed to the $$$i$$$-th server, or $$$0$$$ otherwise.</p><p>Next $$$n$$$ lines contain three integers each. The $$$j$$$-th integer in the $$$i$$$-th line is $$$1$$$ if tests pass for the $$$j$$$-th feature on the $$$i$$$-th server, or $$$0$$$ otherwise.</p><p>Demid's development server has index $$$1$$$. It is guaranteed that Daisy wants all three features to be deployed to the server number 1, and all three features pass their tests on the server number 1.</p></div><div class="output-specification"><div class="section-title">Output</div><p>If it is impossible to configure CD/CT system with CD being set up between at most $$$264$$$ pairs of servers, then output the single line "<span class="tex-font-style-tt">Impossible</span>".</p><p>Otherwise, the first line of the output must contain the line "<span class="tex-font-style-tt">Possible</span>".</p><p>Next line must contain $$$n$$$ space-separated integers — the configuration of CT. The $$$i$$$-th integer should be $$$1$$$ if you set up CT on the $$$i$$$-th server, or $$$0$$$ otherwise.</p><p>Next line must contain the integer $$$m$$$ ($$$0 \le m \le 264$$$) — the number of CD pairs you want to set up.</p><p>Each of the next $$$m$$$ lines must describe CD configuration, each line with two integers $$$s_i$$$ and $$$t_i$$$ ($$$1 \le s_i, t_i \le n$$$; $$$s_i \ne t_i$$$), establishing automated deployment of new features from the server $$$s_i$$$ to the server $$$t_i$$$.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 </pre></div><div class="output"><div class="title">Output</div><pre> Possible 1 1 1 2 3 2 1 3 </pre></div><div class="input"><div class="title">Input</div><pre> 2 1 1 1 0 0 1 1 1 1 1 1 0 </pre></div><div class="output"><div class="title">Output</div><pre> Impossible </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>CD/CT system for the first sample test is shown below.</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/5b793faa15b226da10d5debc4fe4f873435621cd.png" style="max-width: 100.0%;max-height: 100.0%;"/> </center></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="3ab74479bb6a36b1543637df85b9af16"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/82653/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h2"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/82653/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/82653/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8455a75856313b1366f723c7628edbb8cf61c484"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/71764" title="71764" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9993" resourceName="71764" resourceManual="true" src="//codeforces.org/s/82653/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="http://nerc.itmo.ru/archive/2019/nerc-2019-tutorial.pdf" title="nerc-2019-tutorial.pdf" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9992" resourceName="nerc-2019-tutorial.pdf" resourceManual="true" src="//codeforces.org/s/82653/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1267">Задачи</a></li> <li><a href="/contest/1267/submit">Отослать</a></li> <li><a href="/contest/1267/my">Мои посылки</a></li> <li><a href="/contest/1267/status">Статус</a></li> <li><a href="/contest/1267/standings">Положение</a></li> <li><a href="/contest/1267/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_fb55da1f8408f52797402c6187b48ad277df4bb4"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. DevOps Best Practices</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Daisy is a senior software engineer at RainyDay, LLC. She has just implemented three new features in their product: the first feature makes their product work, the second one makes their product fast, and the third one makes their product correct. The company encourages at least some testing of new features, so Daisy appointed her intern Demid to write some tests for the new features.</p><p>Interestingly enough, these three features pass all the tests on Demid's development server, which has index 1, but might fail the tests on some other servers.</p><p>After Demid has completed this task, Daisy appointed you to deploy these three features to all $$$n$$$ servers of your company. For every feature $$$f$$$ and every server $$$s$$$, Daisy told you whether she wants the feature $$$f$$$ to be deployed on the server $$$s$$$. If she wants it to be deployed, it must be done even if the feature $$$f$$$ fails the tests on the server $$$s$$$. If she does not want it to be deployed, you may not deploy it there.</p><p>Your company has two important instruments for the deployment of new features to servers: Continuous Deployment (CD) and Continuous Testing (CT). CD can be established between several pairs of servers, forming a directed graph. CT can be set up on some set of servers.</p><p>If CD is configured from the server $$$s_1$$$ to the server $$$s_2$$$ then every time $$$s_1$$$ receives a new feature $$$f$$$ the system starts the following deployment process of $$$f$$$ to $$$s_2$$$:</p><ul> <li> If the feature $$$f$$$ is already deployed on the server $$$s_2$$$, then nothing is done. </li><li> Otherwise, if CT is not set up on the server $$$s_1$$$, then the server $$$s_1$$$ just deploys the feature $$$f$$$ to the server $$$s_2$$$ without any testing. </li><li> Otherwise, the server $$$s_1$$$ runs tests for the feature $$$f$$$. If the tests fail on the server $$$s_1$$$, nothing is done. If the tests pass, then the server $$$s_1$$$ deploys the feature $$$f$$$ to the server $$$s_2$$$. </li></ul><p>You are to configure the CD/CT system, and after that Demid will deploy all three features on his development server. Your CD/CT system must deploy each feature exactly to the set of servers that Daisy wants.</p><p>Your company does not have a lot of computing resources, so you can establish CD from one server to another at most $$$264$$$ times.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains integer $$$n$$$ ($$$2 \le n \le 256$$$) — the number of servers in your company.</p><p>Next $$$n$$$ lines contain three integers each. The $$$j$$$-th integer in the $$$i$$$-th line is $$$1$$$ if Daisy wants the $$$j$$$-th feature to be deployed to the $$$i$$$-th server, or $$$0$$$ otherwise.</p><p>Next $$$n$$$ lines contain three integers each. The $$$j$$$-th integer in the $$$i$$$-th line is $$$1$$$ if tests pass for the $$$j$$$-th feature on the $$$i$$$-th server, or $$$0$$$ otherwise.</p><p>Demid's development server has index $$$1$$$. It is guaranteed that Daisy wants all three features to be deployed to the server number 1, and all three features pass their tests on the server number 1.</p></div><div class="output-specification"><div class="section-title">Output</div><p>If it is impossible to configure CD/CT system with CD being set up between at most $$$264$$$ pairs of servers, then output the single line "<span class="tex-font-style-tt">Impossible</span>".</p><p>Otherwise, the first line of the output must contain the line "<span class="tex-font-style-tt">Possible</span>".</p><p>Next line must contain $$$n$$$ space-separated integers — the configuration of CT. The $$$i$$$-th integer should be $$$1$$$ if you set up CT on the $$$i$$$-th server, or $$$0$$$ otherwise.</p><p>Next line must contain the integer $$$m$$$ ($$$0 \le m \le 264$$$) — the number of CD pairs you want to set up.</p><p>Each of the next $$$m$$$ lines must describe CD configuration, each line with two integers $$$s_i$$$ and $$$t_i$$$ ($$$1 \le s_i, t_i \le n$$$; $$$s_i \ne t_i$$$), establishing automated deployment of new features from the server $$$s_i$$$ to the server $$$t_i$$$.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 </pre></div><div class="output"><div class="title">Output</div><pre> Possible 1 1 1 2 3 2 1 3 </pre></div><div class="input"><div class="title">Input</div><pre> 2 1 1 1 0 0 1 1 1 1 1 1 0 </pre></div><div class="output"><div class="title">Output</div><pre> Impossible </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>CD/CT system for the first sample test is shown below.</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/5b793faa15b226da10d5debc4fe4f873435621cd.png" style="max-width: 100.0%;max-height: 100.0%;" /> </center></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); 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1267E	1267	E	ru	E. Elections	<div class="problem-statement"><div class="header"><div class="title">E. Elections</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there is one opposition candidate in one of the constituencies. Even one opposition member can disturb the stability in the Senate, so the head of the Party asks you to ensure that the opposition candidate will not be elected.</p><p>There are $$$n$$$ candidates, numbered from 1 to $$$n$$$. Candidate $$$n$$$ is the opposition candidate. There are $$$m$$$ polling stations in the constituency, numbered from 1 to $$$m$$$. You know the number of votes cast for each candidate at each polling station. The only thing you can do to prevent the election of the opposition candidate is to cancel the election results at some polling stations. The opposition candidate will be elected if the sum of the votes cast in their favor at all non-canceled stations will be <span class="tex-font-style-bf">strictly greater</span> than the analogous sum for every other candidate. </p><p>Your task is to prevent the election of the opposition candidate by canceling the election results at the minimal possible number of polling stations. Notice that solution always exists, because if you cancel the elections at all polling stations, the number of votes for each candidate will be 0, and the opposition candidate will not be elected.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains two integers $$$n$$$ and $$$m$$$ ($$$2\le n\le 100$$$; $$$1\le m \le 100$$$) — the number of candidates and the number of polling stations. The next $$$m$$$ lines contain the election results at each polling station with $$$n$$$ numbers on each line. In the $$$i$$$-th line the $$$j$$$-th number is $$$a_{i,j}$$$ — the number of votes cast for the candidate $$$j$$$ at the station $$$i$$$ ($$$0\le a_{i,j} \le 1\,000$$$).</p></div><div class="output-specification"><div class="section-title">Output</div><p>In the first line output integer $$$k$$$ — the minimal number of the polling stations in which you need to cancel the election results. In the second line output $$$k$$$ integers — the indices of canceled polling stations, in any order. If there are multiple ways to cancel results at $$$k$$$ stations, output any one of them.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 5 3 6 3 4 2 8 3 7 5 6 7 5 2 4 7 9 </pre></div><div class="output"><div class="title">Output</div><pre> 2 3 1 </pre></div><div class="input"><div class="title">Input</div><pre> 2 1 1 1 </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> 3 3 2 3 8 4 2 9 3 1 7 </pre></div><div class="output"><div class="title">Output</div><pre> 3 1 2 3 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first example, the candidates from 1 to 5 received 14, 12, 13, 15, and 24 votes correspondingly. The opposition candidate has the most votes. However, if you cancel the election results at the first and the third polling stations, then only the result from the second polling station remains and the vote sums become 3, 7, 5, 6, and 7, without the opposition candidate being in the lead anymore. </p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="4c30e94441203c32e6d16a78174a4909"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/82653/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h2"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/82653/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/82653/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8455a75856313b1366f723c7628edbb8cf61c484"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_a7862b85b13335eb0863f6b1252d466364c64416"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Elections</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there is one opposition candidate in one of the constituencies. Even one opposition member can disturb the stability in the Senate, so the head of the Party asks you to ensure that the opposition candidate will not be elected.</p><p>There are $$$n$$$ candidates, numbered from 1 to $$$n$$$. Candidate $$$n$$$ is the opposition candidate. There are $$$m$$$ polling stations in the constituency, numbered from 1 to $$$m$$$. You know the number of votes cast for each candidate at each polling station. The only thing you can do to prevent the election of the opposition candidate is to cancel the election results at some polling stations. The opposition candidate will be elected if the sum of the votes cast in their favor at all non-canceled stations will be <span class="tex-font-style-bf">strictly greater</span> than the analogous sum for every other candidate. </p><p>Your task is to prevent the election of the opposition candidate by canceling the election results at the minimal possible number of polling stations. Notice that solution always exists, because if you cancel the elections at all polling stations, the number of votes for each candidate will be 0, and the opposition candidate will not be elected.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains two integers $$$n$$$ and $$$m$$$ ($$$2\le n\le 100$$$; $$$1\le m \le 100$$$) — the number of candidates and the number of polling stations. The next $$$m$$$ lines contain the election results at each polling station with $$$n$$$ numbers on each line. In the $$$i$$$-th line the $$$j$$$-th number is $$$a_{i,j}$$$ — the number of votes cast for the candidate $$$j$$$ at the station $$$i$$$ ($$$0\le a_{i,j} \le 1\,000$$$).</p></div><div class="output-specification"><div class="section-title">Output</div><p>In the first line output integer $$$k$$$ — the minimal number of the polling stations in which you need to cancel the election results. In the second line output $$$k$$$ integers — the indices of canceled polling stations, in any order. If there are multiple ways to cancel results at $$$k$$$ stations, output any one of them.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 5 3 6 3 4 2 8 3 7 5 6 7 5 2 4 7 9 </pre></div><div class="output"><div class="title">Output</div><pre> 2 3 1 </pre></div><div class="input"><div class="title">Input</div><pre> 2 1 1 1 </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> 3 3 2 3 8 4 2 9 3 1 7 </pre></div><div class="output"><div class="title">Output</div><pre> 3 1 2 3 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first example, the candidates from 1 to 5 received 14, 12, 13, 15, and 24 votes correspondingly. The opposition candidate has the most votes. However, if you cancel the election results at the first and the third polling stations, then only the result from the second polling station remains and the vote sums become 3, 7, 5, 6, and 7, without the opposition candidate being in the lead anymore. </p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/82653"); 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1267G	1267	G	ru	G. Game Relics	<div class="problem-statement"><div class="header"><div class="title">G. Game Relics</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Esports is a form of competitive sports using video games. Dota 2 is one of the most popular competitive video games in Esports. Recently, a new video game Dota 3 was released. In Dota 3 a player can buy some relics for their hero. Relics are counters that track hero's actions and statistics in a game.</p><p>Gloria likes to play Dota 3, so she wants to buy all $$$n$$$ available relics for her favorite hero.</p><p>Relics can be bought using an in-game currency called shards. Each relic has its own price — $$$c_i$$$ shards for the $$$i$$$-th relic. A player can buy a relic using one of the following options: </p><ul> <li> Pay $$$c_i$$$ shards to buy the $$$i$$$-th relic; </li><li> Pay $$$x$$$ shards and randomly get one of all $$$n$$$ relics. The probability of getting a relic is the same for all $$$n$$$ relics. If a duplicate relic is received, then the relic is recycled and $$$\frac{x}{2}$$$ shards are given back to the player. </li></ul><p>Gloria wants to buy all $$$n$$$ relics. Help her minimize the expected number of shards she spends to buy all the relics.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains two integers $$$n$$$ and $$$x$$$ ($$$1 \le n \le 100$$$; $$$1 \le x \le 10\,000$$$) — the number of relics and the cost to receive a random relic.</p><p>The second line consists of $$$n$$$ integers $$$c_1, c_2, \ldots, c_n$$$ ($$$x \le c_i \le 10\,000$$$; $$$\sum{c_i} \le 10\,000$$$) — the prices of $$$n$$$ relics.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print a single real number — the minimum expected number of shards that Gloria must spend to buy all the relics.</p><p>The absolute or relative error should not exceed $$$10^{-9}$$$.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 2 20 25 100 </pre></div><div class="output"><div class="title">Output</div><pre> 47.50000000000000000 </pre></div><div class="input"><div class="title">Input</div><pre> 4 30 60 50 60 80 </pre></div><div class="output"><div class="title">Output</div><pre> 171.25000000000000000 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first example, the optimal strategy is to randomly get one of the two relics paying $$$20$$$ shards. Then there are two scenarios. </p><p>The first one happens if Gloria receives the first relic. Then she keeps getting random relics until she obtains the second relic. The expected number of shards to spend in this scenario is $$$20 + 30 = 50$$$.</p><p>In the second scenario, Gloria initially gets the second relic. Then it is better to buy the first relic for $$$25$$$ shards, so the expected number of shards to spend in this scenario is $$$20 + 25 = 45$$$.</p><p>Thus, the expected number of shards to spend is $$$\frac{50 + 45}{2} = 47.5$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="58edc86511c1428ab8b3dd2d7863f47f"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/82653/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h2"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/82653/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/82653/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - G - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8455a75856313b1366f723c7628edbb8cf61c484"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - G - Codeforces</title> <meta name="description" content="Codeforces. 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="G" data-uuid="ps_92c7d2e16c97f069e2c3a665d861718945ee9174"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">G. Game Relics</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Esports is a form of competitive sports using video games. Dota 2 is one of the most popular competitive video games in Esports. Recently, a new video game Dota 3 was released. In Dota 3 a player can buy some relics for their hero. Relics are counters that track hero's actions and statistics in a game.</p><p>Gloria likes to play Dota 3, so she wants to buy all $$$n$$$ available relics for her favorite hero.</p><p>Relics can be bought using an in-game currency called shards. Each relic has its own price — $$$c_i$$$ shards for the $$$i$$$-th relic. A player can buy a relic using one of the following options: </p><ul> <li> Pay $$$c_i$$$ shards to buy the $$$i$$$-th relic; </li><li> Pay $$$x$$$ shards and randomly get one of all $$$n$$$ relics. The probability of getting a relic is the same for all $$$n$$$ relics. If a duplicate relic is received, then the relic is recycled and $$$\frac{x}{2}$$$ shards are given back to the player. </li></ul><p>Gloria wants to buy all $$$n$$$ relics. Help her minimize the expected number of shards she spends to buy all the relics.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains two integers $$$n$$$ and $$$x$$$ ($$$1 \le n \le 100$$$; $$$1 \le x \le 10\,000$$$) — the number of relics and the cost to receive a random relic.</p><p>The second line consists of $$$n$$$ integers $$$c_1, c_2, \ldots, c_n$$$ ($$$x \le c_i \le 10\,000$$$; $$$\sum{c_i} \le 10\,000$$$) — the prices of $$$n$$$ relics.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print a single real number — the minimum expected number of shards that Gloria must spend to buy all the relics.</p><p>The absolute or relative error should not exceed $$$10^{-9}$$$.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 2 20 25 100 </pre></div><div class="output"><div class="title">Output</div><pre> 47.50000000000000000 </pre></div><div class="input"><div class="title">Input</div><pre> 4 30 60 50 60 80 </pre></div><div class="output"><div class="title">Output</div><pre> 171.25000000000000000 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first example, the optimal strategy is to randomly get one of the two relics paying $$$20$$$ shards. Then there are two scenarios. </p><p>The first one happens if Gloria receives the first relic. Then she keeps getting random relics until she obtains the second relic. The expected number of shards to spend in this scenario is $$$20 + 30 = 50$$$.</p><p>In the second scenario, Gloria initially gets the second relic. Then it is better to buy the first relic for $$$25$$$ shards, so the expected number of shards to spend in this scenario is $$$20 + 25 = 45$$$.</p><p>Thus, the expected number of shards to spend is $$$\frac{50 + 45}{2} = 47.5$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=G]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/82653"); 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1267H	1267	H	ru	H. Help BerLine	<div class="problem-statement"><div class="header"><div class="title">H. Help BerLine</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Very soon, the new cell phone services provider "BerLine" will begin its work in Berland!</p><p>The start of customer service is planned along the main street of the capital. There are $$$n$$$ base stations that are already installed. They are located one after another along the main street in the order from the $$$1$$$-st to the $$$n$$$-th from left to right. </p><p>Currently, all these base stations are turned off. They will be turned on one by one, one base station per day, according to some permutation $$$p = [p_1, p_2, \dots, p_n]$$$ ($$$ 1 \le p_i \le n$$$), where $$$p_i$$$ is the index of a base station that will be turned on on the $$$i$$$-th day. Thus, it will take $$$n$$$ days to turn on all base stations.</p><p>Each base station is characterized by its operating frequency $$$f_i$$$ — an integer between $$$1$$$ and $$$24$$$, inclusive.</p><p>There is an important requirement for operating frequencies of base stations. Consider an arbitrary moment in time. For any phone owner, if we consider all base stations turned on in the access area of their phone, then in this set of base stations there should be at least one whose operating frequency is unique among the frequencies of these stations. Since the power of the phone and the position are not known in advance, this means that for any nonempty subsegment of turned on base stations, at least one of them has to have the operating frequency that is unique among the stations of this subsegment.</p><p>For example, let's take a look at a case of $$$n = 7$$$, all $$$n$$$ stations are turned on, and their frequencies are equal to $$$f = [1, 2, 1, 3, 1, 2, 1]$$$. Consider any subsegment of the base stations — there is a base station with a unique frequency within this subsegment. However, if $$$f = [1, 2, 1, 2, 3, 2, 1]$$$, then there is no unique frequency on the segment $$$[1, 2, 1, 2]$$$ from the index $$$1$$$ to the index $$$4$$$, inclusive.</p><p>Your task is to assign a frequency from $$$1$$$ to $$$24$$$ to each of $$$n$$$ base stations in such a way that the frequency requirement is met at every moment. Remember that the base stations are turned on in the order of the given permutation $$$p$$$.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains an integer $$$t$$$ ($$$1 \le t \le 50$$$) — the number of test cases in the input. Then $$$t$$$ test case descriptions follow.</p><p>The first line of a test case contains an integer $$$n$$$ ($$$ 1 \le n \le 8\,500$$$) — the number of "BerLine" base stations.</p><p>The following line contains $$$n$$$ distinct integers $$$p_1, p_2, \dots, p_n$$$ ($$$1 \le p_i \le n$$$) — the order in which the base stations are turned on, i. e. on the $$$i$$$-th day the base station with the index $$$p_i$$$ is turned on.</p><p>It is guaranteed that a correct answer exists for all test cases in the input.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print exactly $$$t$$$ lines, where the $$$j$$$-th line contains the answer for the $$$j$$$-th test case in the input. Print the required frequencies $$$f_1, f_2, \dots, f_n$$$ ($$$1 \le f_i \le 24$$$). If there are several possible answers, print any of them.</p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 5 3 1 3 2 3 1 2 3 1 1 10 6 10 4 2 7 9 5 8 3 1 10 2 4 6 9 1 8 10 5 3 7 </pre></div><div class="output"><div class="title">Output</div><pre> 1 3 2 10 20 10 1 2 3 4 5 3 1 3 5 4 2 1 2 3 4 5 6 7 8 9 10</pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first test case $$$n = 3$$$ and $$$p = [1, 3, 2]$$$. The base stations can be assigned frequencies $$$[1, 3, 2]$$$.</p><ul> <li> Day 1: only the base station $$$1$$$ is turned on, its frequency is $$$1$$$. </li><li> Day 2: the base stations $$$1$$$ and $$$3$$$ are turned on, their frequencies are $$$[1, 2]$$$. </li><li> Day 3: all base stations are turned on, their frequencies are $$$[1, 3, 2]$$$ (in the direction along the street). </li></ul><p>On each day, each nonempty subsegment of turned on base stations has a base station with a unique frequency among this subsegment. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/71764" title="71764" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9993" resourceName="71764" resourceManual="true" src="//codeforces.org/s/91341/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="http://nerc.itmo.ru/archive/2019/nerc-2019-tutorial.pdf" title="nerc-2019-tutorial.pdf" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9992" resourceName="nerc-2019-tutorial.pdf" resourceManual="true" src="//codeforces.org/s/91341/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1267">Задачи</a></li> <li><a href="/contest/1267/submit">Отослать</a></li> <li><a href="/contest/1267/my">Мои посылки</a></li> <li><a href="/contest/1267/status">Статус</a></li> <li><a href="/contest/1267/standings">Положение</a></li> <li><a href="/contest/1267/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="H" data-uuid="ps_6a3374dda385c7a59809d3050fcb9792706670af"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">H. Help BerLine</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Very soon, the new cell phone services provider "BerLine" will begin its work in Berland!</p><p>The start of customer service is planned along the main street of the capital. There are $$$n$$$ base stations that are already installed. They are located one after another along the main street in the order from the $$$1$$$-st to the $$$n$$$-th from left to right. </p><p>Currently, all these base stations are turned off. They will be turned on one by one, one base station per day, according to some permutation $$$p = [p_1, p_2, \dots, p_n]$$$ ($$$ 1 \le p_i \le n$$$), where $$$p_i$$$ is the index of a base station that will be turned on on the $$$i$$$-th day. Thus, it will take $$$n$$$ days to turn on all base stations.</p><p>Each base station is characterized by its operating frequency $$$f_i$$$ — an integer between $$$1$$$ and $$$24$$$, inclusive.</p><p>There is an important requirement for operating frequencies of base stations. Consider an arbitrary moment in time. For any phone owner, if we consider all base stations turned on in the access area of their phone, then in this set of base stations there should be at least one whose operating frequency is unique among the frequencies of these stations. Since the power of the phone and the position are not known in advance, this means that for any nonempty subsegment of turned on base stations, at least one of them has to have the operating frequency that is unique among the stations of this subsegment.</p><p>For example, let's take a look at a case of $$$n = 7$$$, all $$$n$$$ stations are turned on, and their frequencies are equal to $$$f = [1, 2, 1, 3, 1, 2, 1]$$$. Consider any subsegment of the base stations — there is a base station with a unique frequency within this subsegment. However, if $$$f = [1, 2, 1, 2, 3, 2, 1]$$$, then there is no unique frequency on the segment $$$[1, 2, 1, 2]$$$ from the index $$$1$$$ to the index $$$4$$$, inclusive.</p><p>Your task is to assign a frequency from $$$1$$$ to $$$24$$$ to each of $$$n$$$ base stations in such a way that the frequency requirement is met at every moment. Remember that the base stations are turned on in the order of the given permutation $$$p$$$.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains an integer $$$t$$$ ($$$1 \le t \le 50$$$) — the number of test cases in the input. Then $$$t$$$ test case descriptions follow.</p><p>The first line of a test case contains an integer $$$n$$$ ($$$ 1 \le n \le 8\,500$$$) — the number of "BerLine" base stations.</p><p>The following line contains $$$n$$$ distinct integers $$$p_1, p_2, \dots, p_n$$$ ($$$1 \le p_i \le n$$$) — the order in which the base stations are turned on, i. e. on the $$$i$$$-th day the base station with the index $$$p_i$$$ is turned on.</p><p>It is guaranteed that a correct answer exists for all test cases in the input.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print exactly $$$t$$$ lines, where the $$$j$$$-th line contains the answer for the $$$j$$$-th test case in the input. Print the required frequencies $$$f_1, f_2, \dots, f_n$$$ ($$$1 \le f_i \le 24$$$). If there are several possible answers, print any of them.</p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 5 3 1 3 2 3 1 2 3 1 1 10 6 10 4 2 7 9 5 8 3 1 10 2 4 6 9 1 8 10 5 3 7 </pre></div><div class="output"><div class="title">Output</div><pre> 1 3 2 10 20 10 1 2 3 4 5 3 1 3 5 4 2 1 2 3 4 5 6 7 8 9 10</pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first test case $$$n = 3$$$ and $$$p = [1, 3, 2]$$$. The base stations can be assigned frequencies $$$[1, 3, 2]$$$.</p><ul> <li> Day 1: only the base station $$$1$$$ is turned on, its frequency is $$$1$$$. </li><li> Day 2: the base stations $$$1$$$ and $$$3$$$ are turned on, their frequencies are $$$[1, 2]$$$. </li><li> Day 3: all base stations are turned on, their frequencies are $$$[1, 3, 2]$$$ (in the direction along the street). </li></ul><p>On each day, each nonempty subsegment of turned on base stations has a base station with a unique frequency among this subsegment. 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1267I	1267	I	ru	I. Intriguing Selection	<div class="problem-statement"><div class="header"><div class="title">I. Intriguing Selection</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p><span class="tex-font-style-underline">This is an interactive problem.</span></p><p>You are the head coach of a chess club. The club has $$$2n$$$ players, each player has some <span class="tex-font-style-underline">strength</span> which can be represented by a number, and all those numbers are distinct. The strengths of the players are not known to you.</p><p>You need to select $$$n$$$ players who would represent your club in the upcoming championship. Naturally, you want to select $$$n$$$ players with the highest strengths.</p><p>You can organize matches between the players to do that. In every match, you pick two players, they play some games, and you learn which one of the two has higher strength. You can wait for the outcome of a match before deciding who will participate in the next one.</p><p>However, you do not want to know <span class="tex-font-style-underline">exactly</span> how those $$$n$$$ players compare between themselves, as that would make the championship itself less <span class="tex-font-style-underline">intriguing</span>. More formally, you must reach a state where there is exactly one way to choose $$$n$$$ players with the highest strengths that is consistent with the outcomes of the matches you organized, but there must be at least two possible orderings of those $$$n$$$ players by strength that are consistent with the outcomes of the matches you organized.</p></div><div><div class="section-title">Interaction</div><p>Your program has to process multiple test cases in one run. First, it should read the integer $$$t$$$ ($$$t \ge 1$$$) — the number of test cases. Then, it should process the test cases one by one.</p><p>In each test case, your program should start by reading the integer $$$n$$$ ($$$3 \le n \le 100$$$) — the number of players to select out of $$$2n$$$ players. The sum of squares of the values of $$$n$$$ over all test cases does not exceed $$$10\,000$$$.</p><p>Then your program can organize matches zero or more times. To organize a match, your program should print a match description formatted as <span class="tex-font-style-tt">? $$$i$$$ $$$j$$$</span> — a question mark followed by two distinct numbers of players participating in the match. The players are numbered from 1 to $$$2n$$$, inclusive. Remember to flush the output after printing the match description. Then your program should read the match outcome — it will be either the greater-than character (<span class="tex-font-style-tt">></span>), if the first player in the match description has higher strength, or the less-than character (<span class="tex-font-style-tt"><</span>), if the second player in the match description has higher strength.</p><p>Your program can organize at most $$$4n^2$$$ matches. After it is done organizing matches, it should print the exclamation mark (<span class="tex-font-style-tt">!</span>) and continue to the next test case, or exit gracefully if this was the last test case. Remember to flush the output after printing the exclamation mark.</p><p>There must be exactly one way to choose $$$n$$$ players with the highest strength that is consistent with the outcomes of the matches you organized, but there must be at least two possible orderings of those $$$n$$$ players by their strength that are consistent with the outcomes of the matches you organized.</p><p>The judging program picks some distinct numbers as the strengths of all players before your program starts organizing matches and uses them to answer the requests.</p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 2 3 > < > < > > 3 < < < > > </pre></div><div class="output"><div class="title">Output</div><pre> ? 1 3 ? 4 2 ? 4 5 ? 6 5 ? 3 4 ? 5 6 ! ? 3 4 ? 4 2 ? 5 3 ? 6 4 ? 3 1 ! </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the example, the players in the first test case are sorted by strength in decreasing order. From the matches in the example output, we can deduce that players 1, 2, and 3 have the highest strength, but we do not know how the player 1 compares to the player 2.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="61c78dac51edd990e5c77406d892daaa"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/81027/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h1"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - I - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8455a75856313b1366f723c7628edbb8cf61c484"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - I - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/71764" title="71764" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9993" resourceName="71764" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="http://nerc.itmo.ru/archive/2019/nerc-2019-tutorial.pdf" title="nerc-2019-tutorial.pdf" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9992" resourceName="nerc-2019-tutorial.pdf" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1267">Задачи</a></li> <li><a href="/contest/1267/submit">Отослать</a></li> <li><a href="/contest/1267/my">Мои посылки</a></li> <li><a href="/contest/1267/status">Статус</a></li> <li><a href="/contest/1267/standings">Положение</a></li> <li><a href="/contest/1267/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="I" data-uuid="ps_c1d433e926a8882218e563b318586e09f1649746"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">I. Intriguing Selection</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p><span class="tex-font-style-underline">This is an interactive problem.</span></p><p>You are the head coach of a chess club. The club has $$$2n$$$ players, each player has some <span class="tex-font-style-underline">strength</span> which can be represented by a number, and all those numbers are distinct. The strengths of the players are not known to you.</p><p>You need to select $$$n$$$ players who would represent your club in the upcoming championship. Naturally, you want to select $$$n$$$ players with the highest strengths.</p><p>You can organize matches between the players to do that. In every match, you pick two players, they play some games, and you learn which one of the two has higher strength. You can wait for the outcome of a match before deciding who will participate in the next one.</p><p>However, you do not want to know <span class="tex-font-style-underline">exactly</span> how those $$$n$$$ players compare between themselves, as that would make the championship itself less <span class="tex-font-style-underline">intriguing</span>. More formally, you must reach a state where there is exactly one way to choose $$$n$$$ players with the highest strengths that is consistent with the outcomes of the matches you organized, but there must be at least two possible orderings of those $$$n$$$ players by strength that are consistent with the outcomes of the matches you organized.</p></div><div><div class="section-title">Interaction</div><p>Your program has to process multiple test cases in one run. First, it should read the integer $$$t$$$ ($$$t \ge 1$$$) — the number of test cases. Then, it should process the test cases one by one.</p><p>In each test case, your program should start by reading the integer $$$n$$$ ($$$3 \le n \le 100$$$) — the number of players to select out of $$$2n$$$ players. The sum of squares of the values of $$$n$$$ over all test cases does not exceed $$$10\,000$$$.</p><p>Then your program can organize matches zero or more times. To organize a match, your program should print a match description formatted as <span class="tex-font-style-tt">? $$$i$$$ $$$j$$$</span> — a question mark followed by two distinct numbers of players participating in the match. The players are numbered from 1 to $$$2n$$$, inclusive. Remember to flush the output after printing the match description. Then your program should read the match outcome — it will be either the greater-than character (<span class="tex-font-style-tt">></span>), if the first player in the match description has higher strength, or the less-than character (<span class="tex-font-style-tt"><</span>), if the second player in the match description has higher strength.</p><p>Your program can organize at most $$$4n^2$$$ matches. After it is done organizing matches, it should print the exclamation mark (<span class="tex-font-style-tt">!</span>) and continue to the next test case, or exit gracefully if this was the last test case. Remember to flush the output after printing the exclamation mark.</p><p>There must be exactly one way to choose $$$n$$$ players with the highest strength that is consistent with the outcomes of the matches you organized, but there must be at least two possible orderings of those $$$n$$$ players by their strength that are consistent with the outcomes of the matches you organized.</p><p>The judging program picks some distinct numbers as the strengths of all players before your program starts organizing matches and uses them to answer the requests.</p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 2 3 > < > < > > 3 < < < > > </pre></div><div class="output"><div class="title">Output</div><pre> ? 1 3 ? 4 2 ? 4 5 ? 6 5 ? 3 4 ? 5 6 ! ? 3 4 ? 4 2 ? 5 3 ? 6 4 ? 3 1 ! </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the example, the players in the first test case are sorted by strength in decreasing order. 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1267J	1267	J	ru	J. Just Arrange the Icons	<div class="problem-statement"><div class="header"><div class="title">J. Just Arrange the Icons</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>BerPhone X is almost ready for release with $$$n$$$ applications being preinstalled on the phone. A <span class="tex-font-style-it">category</span> of an application characterizes a genre or a theme of this application (like "game", "business", or "education"). The categories are given as integers between $$$1$$$ and $$$n$$$, inclusive; the $$$i$$$-th application has category $$$c_i$$$. </p><p>You can choose $$$m$$$ — the number of screens and $$$s$$$ — the size of each screen. You need to fit all $$$n$$$ icons of the applications (one icon representing one application) meeting the following requirements:</p><ul> <li> On each screen, all the icons must belong to applications of the same category (but different screens can contain icons of applications of the same category); </li><li> Each screen must be either completely filled with icons (the number of icons on the screen is equal to $$$s$$$) or almost filled with icons (the number of icons is equal to $$$s-1$$$). </li></ul><p>Your task is to find the minimal possible number of screens $$$m$$$.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains an integer $$$t$$$ ($$$1 \le t \le 10\,000$$$) — the number of test cases in the input. Then $$$t$$$ test cases follow.</p><p>The first line of each test case contains an integer $$$n$$$ ($$$1 \le n \le 2\cdot10^6$$$) — the number of the icons. The second line contains $$$n$$$ integers $$$c_1, c_2, \dots, c_n$$$ ($$$1 \le c_i \le n$$$), where $$$c_i$$$ is the category of the $$$i$$$-th application.</p><p>It is guaranteed that the sum of the values of $$$n$$$ for all test cases in the input does not exceed $$$2\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print $$$t$$$ integers — the answers to the given test cases in the order they follow in the input. The answer to a test case is an integer $$$m$$$ — the minimum number of screens on which all $$$n$$$ icons can be placed satisfying the given requirements.</p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 11 1 5 1 5 1 5 1 1 1 1 5 6 1 2 2 2 2 1 5 4 3 3 1 2 </pre></div><div class="output"><div class="title">Output</div><pre> 3 3 4 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first test case of the example, all the icons can be placed on three screens of size $$$4$$$: a screen with $$$4$$$ icons of the category $$$1$$$, a screen with $$$3$$$ icons of the category $$$1$$$, and a screen with $$$4$$$ icons of the category $$$5$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="2adbae1b0b0e6884c2fb64c7ae006fb0"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/81027/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h1"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - J - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8455a75856313b1366f723c7628edbb8cf61c484"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - J - Codeforces</title> <meta name="description" content="Codeforces. 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1800 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='2adbae1b0b0e6884c2fb64c7ae006fb0'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="484394"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='2adbae1b0b0e6884c2fb64c7ae006fb0'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="484394"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/71764" title="71764" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9993" resourceName="71764" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="http://nerc.itmo.ru/archive/2019/nerc-2019-tutorial.pdf" title="nerc-2019-tutorial.pdf" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9992" resourceName="nerc-2019-tutorial.pdf" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1267">Задачи</a></li> <li><a href="/contest/1267/submit">Отослать</a></li> <li><a href="/contest/1267/my">Мои посылки</a></li> <li><a href="/contest/1267/status">Статус</a></li> <li><a href="/contest/1267/standings">Положение</a></li> <li><a href="/contest/1267/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="J" data-uuid="ps_caadeeb348799ad62c24ff15974b7e885171154b"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">J. Just Arrange the Icons</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>BerPhone X is almost ready for release with $$$n$$$ applications being preinstalled on the phone. A <span class="tex-font-style-it">category</span> of an application characterizes a genre or a theme of this application (like "game", "business", or "education"). The categories are given as integers between $$$1$$$ and $$$n$$$, inclusive; the $$$i$$$-th application has category $$$c_i$$$. </p><p>You can choose $$$m$$$ — the number of screens and $$$s$$$ — the size of each screen. You need to fit all $$$n$$$ icons of the applications (one icon representing one application) meeting the following requirements:</p><ul> <li> On each screen, all the icons must belong to applications of the same category (but different screens can contain icons of applications of the same category); </li><li> Each screen must be either completely filled with icons (the number of icons on the screen is equal to $$$s$$$) or almost filled with icons (the number of icons is equal to $$$s-1$$$). </li></ul><p>Your task is to find the minimal possible number of screens $$$m$$$.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains an integer $$$t$$$ ($$$1 \le t \le 10\,000$$$) — the number of test cases in the input. Then $$$t$$$ test cases follow.</p><p>The first line of each test case contains an integer $$$n$$$ ($$$1 \le n \le 2\cdot10^6$$$) — the number of the icons. The second line contains $$$n$$$ integers $$$c_1, c_2, \dots, c_n$$$ ($$$1 \le c_i \le n$$$), where $$$c_i$$$ is the category of the $$$i$$$-th application.</p><p>It is guaranteed that the sum of the values of $$$n$$$ for all test cases in the input does not exceed $$$2\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print $$$t$$$ integers — the answers to the given test cases in the order they follow in the input. The answer to a test case is an integer $$$m$$$ — the minimum number of screens on which all $$$n$$$ icons can be placed satisfying the given requirements.</p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 11 1 5 1 5 1 5 1 1 1 1 5 6 1 2 2 2 2 1 5 4 3 3 1 2 </pre></div><div class="output"><div class="title">Output</div><pre> 3 3 4 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first test case of the example, all the icons can be placed on three screens of size $$$4$$$: a screen with $$$4$$$ icons of the category $$$1$$$, a screen with $$$3$$$ icons of the category $$$1$$$, and a screen with $$$4$$$ icons of the category $$$5$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=J]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); 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1267K	1267	K	ru	K. Key Storage	<div class="problem-statement"><div class="header"><div class="title">K. Key Storage</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Karl is developing a key storage service. Each user has a positive integer key.</p><p>Karl knows that storing keys in plain text is bad practice. So, instead of storing a key, he decided to store a fingerprint of a key. However, using some existing fingerprint algorithm looked too boring to him, so he invented his own one.</p><p>Karl's fingerprint is calculated by the following process: divide the given integer by 2, then divide the result by 3, then divide the result by 4, and so on, until we get a result that equals zero (we are speaking about integer division each time). The fingerprint is defined as the multiset of the remainders of these divisions. </p><p>For example, this is how Karl's fingerprint algorithm is applied to the key 11: 11 divided by 2 has remainder 1 and result 5, then 5 divided by 3 has remainder 2 and result 1, and 1 divided by 4 has remainder 1 and result 0. Thus, the key 11 produces the sequence of remainders $$$[1, 2, 1]$$$ and has the fingerprint multiset $$$\{1, 1, 2\}$$$.</p><p>Ksenia wants to prove that Karl's fingerprint algorithm is not very good. For example, she found that both keys 178800 and 123456 produce the fingerprint of $$$\{0, 0, 0, 0, 2, 3, 3, 4\}$$$. Thus, users are at risk of fingerprint collision with some commonly used and easy to guess keys like 123456.</p><p>Ksenia wants to make her words more persuasive. She wants to calculate the number of other keys that have the same fingerprint as the keys in the given list of some commonly used keys. Your task is to help her.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains an integer $$$t$$$ ($$$1 \le t \le 50\,000$$$) — the number of commonly used keys to examine. Each of the next $$$t$$$ lines contains one integer $$$k_i$$$ ($$$1 \le k_i \le 10^{18}$$$) — the key itself. </p></div><div class="output-specification"><div class="section-title">Output</div><p>For each of the keys print one integer — the number of other keys that have the same fingerprint. </p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 1 11 123456 </pre></div><div class="output"><div class="title">Output</div><pre> 0 1 127 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>The other key with the same fingerprint as 11 is 15. 15 produces a sequence of remainders $$$[1, 1, 2]$$$. So both numbers have the fingerprint multiset $$$\{1, 1, 2\}$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="622ad7c5cbad983618773698d16bbcc2"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/81027/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h1"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - K - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8455a75856313b1366f723c7628edbb8cf61c484"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - K - Codeforces</title> <meta name="description" content="Codeforces. 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="K" data-uuid="ps_dcbb4336c164c976e03441fe3ad6f081dc40c2f9"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">K. Key Storage</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Karl is developing a key storage service. Each user has a positive integer key.</p><p>Karl knows that storing keys in plain text is bad practice. So, instead of storing a key, he decided to store a fingerprint of a key. However, using some existing fingerprint algorithm looked too boring to him, so he invented his own one.</p><p>Karl's fingerprint is calculated by the following process: divide the given integer by 2, then divide the result by 3, then divide the result by 4, and so on, until we get a result that equals zero (we are speaking about integer division each time). The fingerprint is defined as the multiset of the remainders of these divisions. </p><p>For example, this is how Karl's fingerprint algorithm is applied to the key 11: 11 divided by 2 has remainder 1 and result 5, then 5 divided by 3 has remainder 2 and result 1, and 1 divided by 4 has remainder 1 and result 0. Thus, the key 11 produces the sequence of remainders $$$[1, 2, 1]$$$ and has the fingerprint multiset $$$\{1, 1, 2\}$$$.</p><p>Ksenia wants to prove that Karl's fingerprint algorithm is not very good. For example, she found that both keys 178800 and 123456 produce the fingerprint of $$$\{0, 0, 0, 0, 2, 3, 3, 4\}$$$. Thus, users are at risk of fingerprint collision with some commonly used and easy to guess keys like 123456.</p><p>Ksenia wants to make her words more persuasive. She wants to calculate the number of other keys that have the same fingerprint as the keys in the given list of some commonly used keys. Your task is to help her.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains an integer $$$t$$$ ($$$1 \le t \le 50\,000$$$) — the number of commonly used keys to examine. Each of the next $$$t$$$ lines contains one integer $$$k_i$$$ ($$$1 \le k_i \le 10^{18}$$$) — the key itself. </p></div><div class="output-specification"><div class="section-title">Output</div><p>For each of the keys print one integer — the number of other keys that have the same fingerprint. </p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 1 11 123456 </pre></div><div class="output"><div class="title">Output</div><pre> 0 1 127 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>The other key with the same fingerprint as 11 is 15. 15 produces a sequence of remainders $$$[1, 1, 2]$$$. 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1267L	1267	L	ru	L. Lexicography	<div class="problem-statement"><div class="header"><div class="title">L. Lexicography</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Lucy likes letters. She studied the definition of the lexicographical order at school and plays with it.</p><p>At first, she tried to construct the lexicographically smallest word out of given letters. It was so easy! Then she tried to build multiple words and minimize one of them. This was much harder!</p><p>Formally, Lucy wants to make $$$n$$$ words of length $$$l$$$ each out of the given $$$n \cdot l$$$ letters, so that the $$$k$$$-th of them in the lexicographic order is lexicographically as small as possible.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains three integers $$$n$$$, $$$l$$$, and $$$k$$$ ($$$1\le k \le n \le 1\,000$$$; $$$1 \le l \le 1\,000$$$) — the total number of words, the length of each word, and the index of the word Lucy wants to minimize.</p><p>The next line contains a string of $$$n \cdot l$$$ lowercase letters of the English alphabet.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Output $$$n$$$ words of $$$l$$$ letters each, one per line, using the letters from the input. Words must be sorted in the lexicographic order, and the $$$k$$$-th of them must be lexicographically as small as possible. If there are multiple answers with the smallest $$$k$$$-th word, output any of them.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 2 2 abcdef </pre></div><div class="output"><div class="title">Output</div><pre> af bc ed</pre></div><div class="input"><div class="title">Input</div><pre> 2 3 1 abcabc </pre></div><div class="output"><div class="title">Output</div><pre> aab bcc </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="d8b93f25deadb6827dd2e0ab94504432"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/81027/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h1"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - L - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="8455a75856313b1366f723c7628edbb8cf61c484"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - L - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/71764" title="71764" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9993" resourceName="71764" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="http://nerc.itmo.ru/archive/2019/nerc-2019-tutorial.pdf" title="nerc-2019-tutorial.pdf" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9992" resourceName="nerc-2019-tutorial.pdf" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1267">Задачи</a></li> <li><a href="/contest/1267/submit">Отослать</a></li> <li><a href="/contest/1267/my">Мои посылки</a></li> <li><a href="/contest/1267/status">Статус</a></li> <li><a href="/contest/1267/standings">Положение</a></li> <li><a href="/contest/1267/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="L" data-uuid="ps_9cd2d32694b81ca52ae45aaf5981170654c22154"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">L. Lexicography</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Lucy likes letters. She studied the definition of the lexicographical order at school and plays with it.</p><p>At first, she tried to construct the lexicographically smallest word out of given letters. It was so easy! Then she tried to build multiple words and minimize one of them. This was much harder!</p><p>Formally, Lucy wants to make $$$n$$$ words of length $$$l$$$ each out of the given $$$n \cdot l$$$ letters, so that the $$$k$$$-th of them in the lexicographic order is lexicographically as small as possible.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains three integers $$$n$$$, $$$l$$$, and $$$k$$$ ($$$1\le k \le n \le 1\,000$$$; $$$1 \le l \le 1\,000$$$) — the total number of words, the length of each word, and the index of the word Lucy wants to minimize.</p><p>The next line contains a string of $$$n \cdot l$$$ lowercase letters of the English alphabet.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Output $$$n$$$ words of $$$l$$$ letters each, one per line, using the letters from the input. Words must be sorted in the lexicographic order, and the $$$k$$$-th of them must be lexicographically as small as possible. If there are multiple answers with the smallest $$$k$$$-th word, output any of them.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 2 2 abcdef </pre></div><div class="output"><div class="title">Output</div><pre> af bc ed</pre></div><div class="input"><div class="title">Input</div><pre> 2 3 1 abcabc </pre></div><div class="output"><div class="title">Output</div><pre> aab bcc </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=L]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); 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1268A	1268	A	ru	A. Длинное красивое число	<div class="problem-statement"><div class="header"><div class="title">A. Длинное красивое число </div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано положительное целое число $$$x$$$ из $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$, которые составляют его десятичную запись в порядке слева направо.</p><p>А также, вам дано положительное целое число $$$k < n$$$.</p><p>Назовем число $$$b_1, b_2, \ldots, b_m$$$ <span class="tex-font-style-bf">красивым</span> если $$$b_i = b_{i+k}$$$ для всех $$$i$$$, что $$$1 \leq i \leq m - k$$$.</p><p>Вам необходимо найти минимальное <span class="tex-font-style-bf">красивое</span> целое число $$$y$$$, что $$$y \geq x$$$. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n, k$$$ ($$$2 \leq n \leq 200\,000, 1 \leq k < n$$$): количество цифр в $$$x$$$ и $$$k$$$.</p><p>В следующей строке записаны $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \neq 0$$$, $$$0 \leq a_i \leq 9$$$): цифры $$$x$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите одно целое число $$$m$$$: количество цифр в $$$y$$$.</p><p>В следующей строке выведите $$$m$$$ цифр $$$b_1, b_2, \ldots, b_m$$$ ($$$b_1 \neq 0$$$, $$$0 \leq b_i \leq 9$$$): цифры $$$y$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 2 353 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 353 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 2 1234 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 1313 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="f6f34ac090ec8b43126ad3ba99ae9196"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/81027/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h1"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - A - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="c578645da6b2c90ccf50e7ac1b71d6bde5f83312"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - A - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10120:10121" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10129" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1268">Задачи</a></li> <li><a href="/contest/1268/submit">Отослать</a></li> <li><a href="/contest/1268/my">Мои посылки</a></li> <li><a href="/contest/1268/status">Статус</a></li> <li><a href="/contest/1268/hacks">Взломы</a></li> <li><a href="/contest/1268/room/1">Комната</a></li> <li><a href="/contest/1268/standings">Положение</a></li> <li><a href="/contest/1268/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_9e071f058bb63b7ab705e484ad688c3d6a4608ba"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Длинное красивое число </div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано положительное целое число $$$x$$$ из $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$, которые составляют его десятичную запись в порядке слева направо.</p><p>А также, вам дано положительное целое число $$$k < n$$$.</p><p>Назовем число $$$b_1, b_2, \ldots, b_m$$$ <span class="tex-font-style-bf">красивым</span> если $$$b_i = b_{i+k}$$$ для всех $$$i$$$, что $$$1 \leq i \leq m - k$$$.</p><p>Вам необходимо найти минимальное <span class="tex-font-style-bf">красивое</span> целое число $$$y$$$, что $$$y \geq x$$$. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n, k$$$ ($$$2 \leq n \leq 200\,000, 1 \leq k < n$$$): количество цифр в $$$x$$$ и $$$k$$$.</p><p>В следующей строке записаны $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \neq 0$$$, $$$0 \leq a_i \leq 9$$$): цифры $$$x$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите одно целое число $$$m$$$: количество цифр в $$$y$$$.</p><p>В следующей строке выведите $$$m$$$ цифр $$$b_1, b_2, \ldots, b_m$$$ ($$$b_1 \neq 0$$$, $$$0 \leq b_i \leq 9$$$): цифры $$$y$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 2 353 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 353 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 2 1234 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 1313 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); 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1268B	1268	B	ru	B. Домино для молодых	<div class="problem-statement"><div class="header"><div class="title">B. Домино для молодых</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана диаграмма Юнга. </p><p>Данная диаграмма это гистограмма с $$$n$$$ столбцами длин $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \geq a_2 \geq \ldots \geq a_n \geq 1$$$).</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/94e21a4955f87bc6a87fae2c191cb199091d11b4.png" style="max-width: 100.0%;max-height: 100.0%;"/> <span class="tex-font-size-small">Диаграмма Юнга для $$$a=[3,2,2,2,1]$$$.</span> </center><p>Ваша задача — найти наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри этой диаграммы, домино это прямоугольник $$$1 \times 2$$$ или $$$2 \times 1$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 300\,000$$$): количество столбцов в данной гистограмме.</p><p>В следующей строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \leq a_i \leq 300\,000, a_i \geq a_{i+1}$$$): длины столбцов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число: наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри данной диаграммы Юнга.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 3 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Некоторые возможные решения для первого примера:</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/a16580ae80f17ddfd658d64fefe83b64e0ef0882.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img class="tex-graphics" src="https://espresso.codeforces.com/27f74eae955e98b8a7b95f87b92cbbb8491af1e0.png" style="max-width: 100.0%;max-height: 100.0%;"/></p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="0ceff2f9d1c6315c2d0d67b98aeda379"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/81027/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h1"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="c578645da6b2c90ccf50e7ac1b71d6bde5f83312"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10120:10121" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10129" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1268">Задачи</a></li> <li><a href="/contest/1268/submit">Отослать</a></li> <li><a href="/contest/1268/my">Мои посылки</a></li> <li><a href="/contest/1268/status">Статус</a></li> <li><a href="/contest/1268/hacks">Взломы</a></li> <li><a href="/contest/1268/room/1">Комната</a></li> <li><a href="/contest/1268/standings">Положение</a></li> <li><a href="/contest/1268/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_9a6d9913c186cba8e6b5efd3b8b0bce917b10ed3"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Домино для молодых</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана диаграмма Юнга. </p><p>Данная диаграмма это гистограмма с $$$n$$$ столбцами длин $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \geq a_2 \geq \ldots \geq a_n \geq 1$$$).</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/94e21a4955f87bc6a87fae2c191cb199091d11b4.png" style="max-width: 100.0%;max-height: 100.0%;" /> <span class="tex-font-size-small">Диаграмма Юнга для $$$a=[3,2,2,2,1]$$$.</span> </center><p>Ваша задача — найти наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри этой диаграммы, домино это прямоугольник $$$1 \times 2$$$ или $$$2 \times 1$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 300\,000$$$): количество столбцов в данной гистограмме.</p><p>В следующей строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \leq a_i \leq 300\,000, a_i \geq a_{i+1}$$$): длины столбцов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число: наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри данной диаграммы Юнга.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 3 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Некоторые возможные решения для первого примера:</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/a16580ae80f17ddfd658d64fefe83b64e0ef0882.png" style="max-width: 100.0%;max-height: 100.0%;" /> <img class="tex-graphics" src="https://espresso.codeforces.com/27f74eae955e98b8a7b95f87b92cbbb8491af1e0.png" style="max-width: 100.0%;max-height: 100.0%;" /></p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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1268C	1268	C	ru	C. K целых чисел	<div class="problem-statement"><div class="header"><div class="title">C. K целых чисел</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана перестановка $$$p_1, p_2, \ldots, p_n$$$.</p><p>За одно действие вы можете поменять местами два соседних элемента.</p><p>Вы хотите сделать как можно меньше действий, чтобы в конце в перестановке был подотрезок $$$1,2,\ldots, k$$$, иначе говоря, в конце должен существовать индекс $$$i$$$, $$$1 \leq i \leq n-k+1$$$, что $$$p_i = 1, p_{i+1} = 2, \ldots, p_{i+k-1}=k$$$.</p><p>Обозначим за $$$f(k)$$$ минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке.</p><p>Вам нужно найти $$$f(1), f(2), \ldots, f(n)$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 200\,000$$$): количество элементов в перестановке.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$: данная перестановка ($$$1 \leq p_i \leq n$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел, минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке, для $$$k=1, 2, \ldots, n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 5 4 3 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 3 6 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 1 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 0 0 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="9ef8e7013c27ee7c1bdea5b87d14cdb6"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/81027/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h1"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - C - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="c578645da6b2c90ccf50e7ac1b71d6bde5f83312"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - C - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10120:10121" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10129" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1268">Задачи</a></li> <li><a href="/contest/1268/submit">Отослать</a></li> <li><a href="/contest/1268/my">Мои посылки</a></li> <li><a href="/contest/1268/status">Статус</a></li> <li><a href="/contest/1268/hacks">Взломы</a></li> <li><a href="/contest/1268/room/1">Комната</a></li> <li><a href="/contest/1268/standings">Положение</a></li> <li><a href="/contest/1268/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_558252b9bb6e624baa2228830af8d8aa57cd1d5c"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. K целых чисел</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана перестановка $$$p_1, p_2, \ldots, p_n$$$.</p><p>За одно действие вы можете поменять местами два соседних элемента.</p><p>Вы хотите сделать как можно меньше действий, чтобы в конце в перестановке был подотрезок $$$1,2,\ldots, k$$$, иначе говоря, в конце должен существовать индекс $$$i$$$, $$$1 \leq i \leq n-k+1$$$, что $$$p_i = 1, p_{i+1} = 2, \ldots, p_{i+k-1}=k$$$.</p><p>Обозначим за $$$f(k)$$$ минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке.</p><p>Вам нужно найти $$$f(1), f(2), \ldots, f(n)$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 200\,000$$$): количество элементов в перестановке.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$: данная перестановка ($$$1 \leq p_i \leq n$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел, минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке, для $$$k=1, 2, \ldots, n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 5 4 3 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 3 6 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 1 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 0 0 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); 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1268D	1268	D	ru	D. Инвертирования в турнире	<div class="problem-statement"><div class="header"><div class="title">D. Инвертирования в турнире</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дан турнир — полный ориентированный граф.</p><p>За одну операцию вы можете взять любую вершину $$$v$$$ и поменять направления всех ребер с $$$v$$$ на одном из концов (таким образом все ребра $$$u \to v$$$ меняют направление на $$$v \to u$$$ и наоборот). </p><p>Вам нужно сделать турнир сильно связным за минимальное количество таких операций. </p><p>А также, если это возможно, вам необходимо посчитать количество способов сделать турнир сильно связным за такое число операций (два способа отличаются, если для какого-то $$$i$$$, вершина выбранная на $$$i$$$-й операции одного способа, отличается от вершины выбранной на $$$i$$$-й операции другого способа). Вам нужно найти остаток от деления этой величины на $$$998\,244\,353$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$3 \leq n \leq 2000$$$): количество вершин в турнире.</p><p>Следующие $$$n$$$ строк содержат описания ребер турнира, каждая из них содержит бинарную строку длины $$$n$$$. Если $$$j$$$-й символ $$$i$$$-й строки равен '1', тогда в графе есть ребро $$$i \to j$$$.</p><p>Гарантируется, что в графе нет ребер $$$i \to i$$$ и в графе есть <span class="tex-font-style-bf">ровно одно</span> ребро среди $$$i \to j$$$ и $$$j \to i$$$ для разных $$$i$$$ и $$$j$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно сделать турнир сильно связным за такое количество операций, выведите «-1».</p><p>Иначе, выведите два целых числа: минимальное количество операций, которое нужно, чтобы сделать турнир сильно связным и количество способов сделать турнир сильно связным за такое число операций, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 010 001 100 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 0010 1000 0100 1110 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 010000 001000 100000 111001 111100 111010 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 18 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="eaa9fdd0ecf30f0ee757584f38beefee"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/81027/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h1"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="c578645da6b2c90ccf50e7ac1b71d6bde5f83312"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10120:10121" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10129" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1268">Задачи</a></li> <li><a href="/contest/1268/submit">Отослать</a></li> <li><a href="/contest/1268/my">Мои посылки</a></li> <li><a href="/contest/1268/status">Статус</a></li> <li><a href="/contest/1268/hacks">Взломы</a></li> <li><a href="/contest/1268/room/1">Комната</a></li> <li><a href="/contest/1268/standings">Положение</a></li> <li><a href="/contest/1268/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_a804aad8d0486ffcf84f2f75fb030e08a61b8c11"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Инвертирования в турнире</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дан турнир — полный ориентированный граф.</p><p>За одну операцию вы можете взять любую вершину $$$v$$$ и поменять направления всех ребер с $$$v$$$ на одном из концов (таким образом все ребра $$$u \to v$$$ меняют направление на $$$v \to u$$$ и наоборот). </p><p>Вам нужно сделать турнир сильно связным за минимальное количество таких операций. </p><p>А также, если это возможно, вам необходимо посчитать количество способов сделать турнир сильно связным за такое число операций (два способа отличаются, если для какого-то $$$i$$$, вершина выбранная на $$$i$$$-й операции одного способа, отличается от вершины выбранной на $$$i$$$-й операции другого способа). Вам нужно найти остаток от деления этой величины на $$$998\,244\,353$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$3 \leq n \leq 2000$$$): количество вершин в турнире.</p><p>Следующие $$$n$$$ строк содержат описания ребер турнира, каждая из них содержит бинарную строку длины $$$n$$$. Если $$$j$$$-й символ $$$i$$$-й строки равен '1', тогда в графе есть ребро $$$i \to j$$$.</p><p>Гарантируется, что в графе нет ребер $$$i \to i$$$ и в графе есть <span class="tex-font-style-bf">ровно одно</span> ребро среди $$$i \to j$$$ и $$$j \to i$$$ для разных $$$i$$$ и $$$j$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно сделать турнир сильно связным за такое количество операций, выведите «-1».</p><p>Иначе, выведите два целых числа: минимальное количество операций, которое нужно, чтобы сделать турнир сильно связным и количество способов сделать турнир сильно связным за такое число операций, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 010 001 100 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 0010 1000 0100 1110 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 010000 001000 100000 111001 111100 111010 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 18 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); 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1268E	1268	E	ru	E. Счастливый кактус	<div class="problem-statement"><div class="header"><div class="title">E. Счастливый кактус</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дан кактус, это граф, где каждое ребро лежит не более чем на одном простом цикле.</p><p>Он дан в виде $$$m$$$ ребер $$$a_i, b_i$$$, вес $$$i$$$-го ребра равен $$$i$$$.</p><p>Назовем путь в кактусе <span class="tex-font-style-bf">возрастающим</span> если веса ребер на этом пути возрастают.</p><p>Назовем пару вершин $$$(u,v)$$$ <span class="tex-font-style-bf">счастливой</span> если существует возрастающий путь, который начинается в $$$u$$$ и кончается в $$$v$$$.</p><p>Для каждой вершины $$$u$$$ найдите количество других вершин $$$v$$$, что пара $$$(u,v)$$$ счастливая.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n,m$$$ ($$$1 \leq n, m \leq 500\,000$$$): количество вершин и ребер в данном кактусе.</p><p>Следующие $$$m$$$ строк содержат описания ребер кактуса, $$$i$$$-я из них содержит два целых числа $$$a_i, b_i$$$ ($$$1 \leq a_i, b_i \leq n, a_i \neq b_i$$$).</p><p>Гарантируется, что граф связен и в нем нет кратных ребер.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел, необходимые значения для вершин $$$1,2,\ldots,n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 2 2 3 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 2 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 4 1 2 2 3 3 4 4 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 4 3 2 1 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="8d1fd9015d46488d6b600beb2e1c8249"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/81027/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h1"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/81027/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="c578645da6b2c90ccf50e7ac1b71d6bde5f83312"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10120:10121" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10129" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1268">Задачи</a></li> <li><a href="/contest/1268/submit">Отослать</a></li> <li><a href="/contest/1268/my">Мои посылки</a></li> <li><a href="/contest/1268/status">Статус</a></li> <li><a href="/contest/1268/hacks">Взломы</a></li> <li><a href="/contest/1268/room/1">Комната</a></li> <li><a href="/contest/1268/standings">Положение</a></li> <li><a href="/contest/1268/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_ed20e00de4106034f10721ac7880a7449f244dd0"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Счастливый кактус</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дан кактус, это граф, где каждое ребро лежит не более чем на одном простом цикле.</p><p>Он дан в виде $$$m$$$ ребер $$$a_i, b_i$$$, вес $$$i$$$-го ребра равен $$$i$$$.</p><p>Назовем путь в кактусе <span class="tex-font-style-bf">возрастающим</span> если веса ребер на этом пути возрастают.</p><p>Назовем пару вершин $$$(u,v)$$$ <span class="tex-font-style-bf">счастливой</span> если существует возрастающий путь, который начинается в $$$u$$$ и кончается в $$$v$$$.</p><p>Для каждой вершины $$$u$$$ найдите количество других вершин $$$v$$$, что пара $$$(u,v)$$$ счастливая.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n,m$$$ ($$$1 \leq n, m \leq 500\,000$$$): количество вершин и ребер в данном кактусе.</p><p>Следующие $$$m$$$ строк содержат описания ребер кактуса, $$$i$$$-я из них содержит два целых числа $$$a_i, b_i$$$ ($$$1 \leq a_i, b_i \leq n, a_i \neq b_i$$$).</p><p>Гарантируется, что граф связен и в нем нет кратных ребер.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел, необходимые значения для вершин $$$1,2,\ldots,n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 2 2 3 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 2 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 4 1 2 2 3 3 4 4 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 4 3 2 1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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1269A	1269	A	ru	A. Уравнение	<div class="problem-statement"><div class="header"><div class="title">A. Уравнение</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Назовем положительное целое число <span class="tex-font-style-bf">составным</span> если у него есть хотя бы один делитель кроме $$$1$$$ и себя. Например:</p><ul> <li> следующие числа являются составными: $$$1024$$$, $$$4$$$, $$$6$$$, $$$9$$$; </li><li> cледующие числа не являются составными: $$$13$$$, $$$1$$$, $$$2$$$, $$$3$$$, $$$37$$$. </li></ul><p>Вам дано положительное целое число $$$n$$$. Найдите два составных числа $$$a,b$$$, что $$$a-b=n$$$.</p><p>Гарантируется, что это возможно.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Входные данные содержат одно целое число $$$n$$$ ($$$1 \leq n \leq 10^7$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите два составных числа $$$a,b$$$ ($$$2 \leq a, b \leq 10^9, a-b=n$$$).</p><p>Гарантируется, что решение существует. Если возможных решений несколько, вы можете вывести любое.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 8 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 512 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4608 4096 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="31fd53920df4853f459027b7f678ad4f"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - A - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="10fdc754d0de4ed840d35325d86c7a9f4d803387"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - A - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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params[key] = value; } }); $.post(dataPageUrl, params, function (result) { if (result["success"] !== "true") { Codeforces.showMessage("Не удалось сохранить состояние блока."); } }, "json"); return false; }); }) </script> </div> <div class="roundbox sidebox borderTopRound " style=""> <div class="caption titled">→ Теги задачи <div class="top-links"> </div> </div> <div style="padding: 0.5em;"> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Интегрирование, диффуры и др."> математика </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Перебор"> перебор </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 800 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='31fd53920df4853f459027b7f678ad4f'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="499887"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='31fd53920df4853f459027b7f678ad4f'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="499887"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10122:10123" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10135" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1269">Задачи</a></li> <li><a href="/contest/1269/submit">Отослать</a></li> <li><a href="/contest/1269/my">Мои посылки</a></li> <li><a href="/contest/1269/status">Статус</a></li> <li><a href="/contest/1269/hacks">Взломы</a></li> <li><a href="/contest/1269/room/1">Комната</a></li> <li><a href="/contest/1269/standings">Положение</a></li> <li><a href="/contest/1269/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_b00893f759ec1f12b366434d9f334d8ed32e9884"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Уравнение</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Назовем положительное целое число <span class="tex-font-style-bf">составным</span> если у него есть хотя бы один делитель кроме $$$1$$$ и себя. Например:</p><ul> <li> следующие числа являются составными: $$$1024$$$, $$$4$$$, $$$6$$$, $$$9$$$; </li><li> cледующие числа не являются составными: $$$13$$$, $$$1$$$, $$$2$$$, $$$3$$$, $$$37$$$. </li></ul><p>Вам дано положительное целое число $$$n$$$. Найдите два составных числа $$$a,b$$$, что $$$a-b=n$$$.</p><p>Гарантируется, что это возможно.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Входные данные содержат одно целое число $$$n$$$ ($$$1 \leq n \leq 10^7$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите два составных числа $$$a,b$$$ ($$$2 \leq a, b \leq 10^9, a-b=n$$$).</p><p>Гарантируется, что решение существует. Если возможных решений несколько, вы можете вывести любое.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 8 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 512 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4608 4096 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); 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1269B	1269	B	ru	B. Равенство по модулю	<div class="problem-statement"><div class="header"><div class="title">B. Равенство по модулю</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано положительное целое число $$$m$$$ и две последовательности положительных целых чисел: $$$a=[a_1, a_2, \ldots, a_n]$$$ и $$$b=[b_1, b_2, \ldots, b_n]$$$. Обе последовательности имеют одинаковую длину $$$n$$$.</p><p>Напомним, что перестановкой называется последовательность из $$$n$$$ различных положительных чисел от $$$1$$$ до $$$n$$$. Например, следующие последовательности являются перестановками: $$$[1]$$$, $$$[1,2]$$$, $$$[2,1]$$$, $$$[6,7,3,4,1,2,5]$$$. Следующие последовательности перестановками не являются: $$$[0]$$$, $$$[1,1]$$$, $$$[2,3]$$$.</p><p>Вам нужно найти неотрицательное целое число $$$x$$$, увеличить все элементы $$$a_i$$$ на $$$x$$$, по модулю $$$m$$$ (другими словами, вы заменяете $$$a_i$$$ на $$$(a_i + x) \bmod m$$$), чтобы было возможно переставить элементы последовательности $$$a$$$, чтобы она стала равна $$$b$$$, среди таких нужно найти минимально возможное $$$x$$$.</p><p>Иначе говоря, вам необходимо найти наименьшее неотрицательное целое число $$$x$$$, для которого возможно найти какую-то перестановку $$$p=[p_1, p_2, \ldots, p_n]$$$, что для всех $$$1 \leq i \leq n$$$, $$$(a_i + x) \bmod m = b_{p_i}$$$, где $$$y \bmod m$$$ — остаток при делении $$$y$$$ на $$$m$$$.</p><p>Например, если $$$m=3$$$, $$$a = [0, 0, 2, 1], b = [2, 0, 1, 1]$$$, вы можете выбрать $$$x=1$$$, и $$$a$$$ будет равна $$$[1, 1, 0, 2]$$$, вы можете переставить элементы, чтобы получить $$$[2, 0, 1, 1]$$$, что равно последовательности $$$b$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n,m$$$ ($$$1 \leq n \leq 2000, 1 \leq m \leq 10^9$$$): количество элементов в последовательности $$$m$$$.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \ldots, a_n$$$ ($$$0 \leq a_i < m$$$).</p><p>В третьей строке записаны $$$n$$$ целых чисел $$$b_1, b_2, \ldots, b_n$$$ ($$$0 \leq b_i < m$$$).</p><p>Гарантируется, что можно найти неотрицательное целое число $$$x$$$, для которого возможно найти какую-то перестановку $$$p_1, p_2, \ldots, p_n$$$, что $$$(a_i + x) \bmod m = b_{p_i}$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите наименьшее неотрицательное целое число $$$x$$$, для которого возможно найти какую-то перестановку $$$p_1, p_2, \ldots, p_n$$$, что $$$(a_i + x) \bmod m = b_{p_i}$$$ для всех $$$1 \leq i \leq n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 0 0 2 1 2 0 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 2 0 0 0 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 10 0 0 0 1 2 2 1 0 0 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="b394b7e899173d9e2e3861a6aa57a493"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="10fdc754d0de4ed840d35325d86c7a9f4d803387"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10122:10123" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10135" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1269">Задачи</a></li> <li><a href="/contest/1269/submit">Отослать</a></li> <li><a href="/contest/1269/my">Мои посылки</a></li> <li><a href="/contest/1269/status">Статус</a></li> <li><a href="/contest/1269/hacks">Взломы</a></li> <li><a href="/contest/1269/room/1">Комната</a></li> <li><a href="/contest/1269/standings">Положение</a></li> <li><a href="/contest/1269/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_405118a6765776acd1aa8c2b21700dbb7b19d9b2"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Равенство по модулю</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано положительное целое число $$$m$$$ и две последовательности положительных целых чисел: $$$a=[a_1, a_2, \ldots, a_n]$$$ и $$$b=[b_1, b_2, \ldots, b_n]$$$. Обе последовательности имеют одинаковую длину $$$n$$$.</p><p>Напомним, что перестановкой называется последовательность из $$$n$$$ различных положительных чисел от $$$1$$$ до $$$n$$$. Например, следующие последовательности являются перестановками: $$$[1]$$$, $$$[1,2]$$$, $$$[2,1]$$$, $$$[6,7,3,4,1,2,5]$$$. Следующие последовательности перестановками не являются: $$$[0]$$$, $$$[1,1]$$$, $$$[2,3]$$$.</p><p>Вам нужно найти неотрицательное целое число $$$x$$$, увеличить все элементы $$$a_i$$$ на $$$x$$$, по модулю $$$m$$$ (другими словами, вы заменяете $$$a_i$$$ на $$$(a_i + x) \bmod m$$$), чтобы было возможно переставить элементы последовательности $$$a$$$, чтобы она стала равна $$$b$$$, среди таких нужно найти минимально возможное $$$x$$$.</p><p>Иначе говоря, вам необходимо найти наименьшее неотрицательное целое число $$$x$$$, для которого возможно найти какую-то перестановку $$$p=[p_1, p_2, \ldots, p_n]$$$, что для всех $$$1 \leq i \leq n$$$, $$$(a_i + x) \bmod m = b_{p_i}$$$, где $$$y \bmod m$$$ — остаток при делении $$$y$$$ на $$$m$$$.</p><p>Например, если $$$m=3$$$, $$$a = [0, 0, 2, 1], b = [2, 0, 1, 1]$$$, вы можете выбрать $$$x=1$$$, и $$$a$$$ будет равна $$$[1, 1, 0, 2]$$$, вы можете переставить элементы, чтобы получить $$$[2, 0, 1, 1]$$$, что равно последовательности $$$b$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n,m$$$ ($$$1 \leq n \leq 2000, 1 \leq m \leq 10^9$$$): количество элементов в последовательности $$$m$$$.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \ldots, a_n$$$ ($$$0 \leq a_i < m$$$).</p><p>В третьей строке записаны $$$n$$$ целых чисел $$$b_1, b_2, \ldots, b_n$$$ ($$$0 \leq b_i < m$$$).</p><p>Гарантируется, что можно найти неотрицательное целое число $$$x$$$, для которого возможно найти какую-то перестановку $$$p_1, p_2, \ldots, p_n$$$, что $$$(a_i + x) \bmod m = b_{p_i}$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите наименьшее неотрицательное целое число $$$x$$$, для которого возможно найти какую-то перестановку $$$p_1, p_2, \ldots, p_n$$$, что $$$(a_i + x) \bmod m = b_{p_i}$$$ для всех $$$1 \leq i \leq n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 0 0 2 1 2 0 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 2 0 0 0 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 10 0 0 0 1 2 2 1 0 0 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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1269C	1269	C	ru	C. Длинное красивое число	<div class="problem-statement"><div class="header"><div class="title">C. Длинное красивое число </div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано положительное целое число $$$x$$$ из $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$, которые составляют его десятичную запись в порядке слева направо.</p><p>А также, вам дано положительное целое число $$$k < n$$$.</p><p>Назовем число $$$b_1, b_2, \ldots, b_m$$$ <span class="tex-font-style-bf">красивым</span> если $$$b_i = b_{i+k}$$$ для всех $$$i$$$, что $$$1 \leq i \leq m - k$$$.</p><p>Вам необходимо найти минимальное <span class="tex-font-style-bf">красивое</span> целое число $$$y$$$, что $$$y \geq x$$$. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n, k$$$ ($$$2 \leq n \leq 200\,000, 1 \leq k < n$$$): количество цифр в $$$x$$$ и $$$k$$$.</p><p>В следующей строке записаны $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \neq 0$$$, $$$0 \leq a_i \leq 9$$$): цифры $$$x$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите одно целое число $$$m$$$: количество цифр в $$$y$$$.</p><p>В следующей строке выведите $$$m$$$ цифр $$$b_1, b_2, \ldots, b_m$$$ ($$$b_1 \neq 0$$$, $$$0 \leq b_i \leq 9$$$): цифры $$$y$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 2 353 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 353 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 2 1234 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 1313 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="4e6ce98537fa96bb5f3b1ef1c2bc8b55"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - C - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="10fdc754d0de4ed840d35325d86c7a9f4d803387"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - C - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1700 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='4e6ce98537fa96bb5f3b1ef1c2bc8b55'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="499889"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='4e6ce98537fa96bb5f3b1ef1c2bc8b55'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="499889"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10122:10123" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10135" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1269">Задачи</a></li> <li><a href="/contest/1269/submit">Отослать</a></li> <li><a href="/contest/1269/my">Мои посылки</a></li> <li><a href="/contest/1269/status">Статус</a></li> <li><a href="/contest/1269/hacks">Взломы</a></li> <li><a href="/contest/1269/room/1">Комната</a></li> <li><a href="/contest/1269/standings">Положение</a></li> <li><a href="/contest/1269/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_5da94cac36771cec148d0bf64b6c2f683b7970bc"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Длинное красивое число </div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано положительное целое число $$$x$$$ из $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$, которые составляют его десятичную запись в порядке слева направо.</p><p>А также, вам дано положительное целое число $$$k < n$$$.</p><p>Назовем число $$$b_1, b_2, \ldots, b_m$$$ <span class="tex-font-style-bf">красивым</span> если $$$b_i = b_{i+k}$$$ для всех $$$i$$$, что $$$1 \leq i \leq m - k$$$.</p><p>Вам необходимо найти минимальное <span class="tex-font-style-bf">красивое</span> целое число $$$y$$$, что $$$y \geq x$$$. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n, k$$$ ($$$2 \leq n \leq 200\,000, 1 \leq k < n$$$): количество цифр в $$$x$$$ и $$$k$$$.</p><p>В следующей строке записаны $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \neq 0$$$, $$$0 \leq a_i \leq 9$$$): цифры $$$x$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите одно целое число $$$m$$$: количество цифр в $$$y$$$.</p><p>В следующей строке выведите $$$m$$$ цифр $$$b_1, b_2, \ldots, b_m$$$ ($$$b_1 \neq 0$$$, $$$0 \leq b_i \leq 9$$$): цифры $$$y$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 2 353 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 353 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 2 1234 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 1313 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); 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1269D	1269	D	ru	D. Домино для молодых	<div class="problem-statement"><div class="header"><div class="title">D. Домино для молодых</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана диаграмма Юнга. </p><p>Данная диаграмма это гистограмма с $$$n$$$ столбцами длин $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \geq a_2 \geq \ldots \geq a_n \geq 1$$$).</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/94e21a4955f87bc6a87fae2c191cb199091d11b4.png" style="max-width: 100.0%;max-height: 100.0%;"/> <span class="tex-font-size-small">Диаграмма Юнга для $$$a=[3,2,2,2,1]$$$.</span> </center><p>Ваша задача — найти наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри этой диаграммы, домино это прямоугольник $$$1 \times 2$$$ или $$$2 \times 1$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 300\,000$$$): количество столбцов в данной гистограмме.</p><p>В следующей строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \leq a_i \leq 300\,000, a_i \geq a_{i+1}$$$): длины столбцов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число: наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри данной диаграммы Юнга.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 3 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Некоторые возможные решения для первого примера:</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/a16580ae80f17ddfd658d64fefe83b64e0ef0882.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img class="tex-graphics" src="https://espresso.codeforces.com/27f74eae955e98b8a7b95f87b92cbbb8491af1e0.png" style="max-width: 100.0%;max-height: 100.0%;"/></p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="2e9a123e72735278c55ecc96037975a6"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="10fdc754d0de4ed840d35325d86c7a9f4d803387"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10122:10123" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10135" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1269">Задачи</a></li> <li><a href="/contest/1269/submit">Отослать</a></li> <li><a href="/contest/1269/my">Мои посылки</a></li> <li><a href="/contest/1269/status">Статус</a></li> <li><a href="/contest/1269/hacks">Взломы</a></li> <li><a href="/contest/1269/room/1">Комната</a></li> <li><a href="/contest/1269/standings">Положение</a></li> <li><a href="/contest/1269/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_8d90e9c148b505bb5ce5d50e6ae905f28d942b9a"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Домино для молодых</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана диаграмма Юнга. </p><p>Данная диаграмма это гистограмма с $$$n$$$ столбцами длин $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \geq a_2 \geq \ldots \geq a_n \geq 1$$$).</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/94e21a4955f87bc6a87fae2c191cb199091d11b4.png" style="max-width: 100.0%;max-height: 100.0%;" /> <span class="tex-font-size-small">Диаграмма Юнга для $$$a=[3,2,2,2,1]$$$.</span> </center><p>Ваша задача — найти наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри этой диаграммы, домино это прямоугольник $$$1 \times 2$$$ или $$$2 \times 1$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 300\,000$$$): количество столбцов в данной гистограмме.</p><p>В следующей строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \leq a_i \leq 300\,000, a_i \geq a_{i+1}$$$): длины столбцов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число: наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри данной диаграммы Юнга.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 3 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Некоторые возможные решения для первого примера:</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/a16580ae80f17ddfd658d64fefe83b64e0ef0882.png" style="max-width: 100.0%;max-height: 100.0%;" /> <img class="tex-graphics" src="https://espresso.codeforces.com/27f74eae955e98b8a7b95f87b92cbbb8491af1e0.png" style="max-width: 100.0%;max-height: 100.0%;" /></p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); 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1269E	1269	E	ru	E. K целых чисел	<div class="problem-statement"><div class="header"><div class="title">E. K целых чисел</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана перестановка $$$p_1, p_2, \ldots, p_n$$$.</p><p>За одно действие вы можете поменять местами два соседних элемента.</p><p>Вы хотите сделать как можно меньше действий, чтобы в конце в перестановке был подотрезок $$$1,2,\ldots, k$$$, иначе говоря, в конце должен существовать индекс $$$i$$$, $$$1 \leq i \leq n-k+1$$$, что $$$p_i = 1, p_{i+1} = 2, \ldots, p_{i+k-1}=k$$$.</p><p>Обозначим за $$$f(k)$$$ минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке.</p><p>Вам нужно найти $$$f(1), f(2), \ldots, f(n)$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 200\,000$$$): количество элементов в перестановке.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$: данная перестановка ($$$1 \leq p_i \leq n$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел, минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке, для $$$k=1, 2, \ldots, n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 5 4 3 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 3 6 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 1 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 0 0 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="64a17879d4c0a4e11c33aa764c6f7aaa"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="10fdc754d0de4ed840d35325d86c7a9f4d803387"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10122:10123" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10135" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1269">Задачи</a></li> <li><a href="/contest/1269/submit">Отослать</a></li> <li><a href="/contest/1269/my">Мои посылки</a></li> <li><a href="/contest/1269/status">Статус</a></li> <li><a href="/contest/1269/hacks">Взломы</a></li> <li><a href="/contest/1269/room/1">Комната</a></li> <li><a href="/contest/1269/standings">Положение</a></li> <li><a href="/contest/1269/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_62a56a8033c8e592fed97dfd934233c44e9eaa46"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. K целых чисел</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана перестановка $$$p_1, p_2, \ldots, p_n$$$.</p><p>За одно действие вы можете поменять местами два соседних элемента.</p><p>Вы хотите сделать как можно меньше действий, чтобы в конце в перестановке был подотрезок $$$1,2,\ldots, k$$$, иначе говоря, в конце должен существовать индекс $$$i$$$, $$$1 \leq i \leq n-k+1$$$, что $$$p_i = 1, p_{i+1} = 2, \ldots, p_{i+k-1}=k$$$.</p><p>Обозначим за $$$f(k)$$$ минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке.</p><p>Вам нужно найти $$$f(1), f(2), \ldots, f(n)$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 200\,000$$$): количество элементов в перестановке.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$: данная перестановка ($$$1 \leq p_i \leq n$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел, минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке, для $$$k=1, 2, \ldots, n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 5 4 3 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 3 6 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 1 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 0 0 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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1270A	1270	A	ru	A. Игра с картами	<div class="problem-statement"><div class="header"><div class="title">A. Игра с картами</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Два игрока решили сыграть в интересную карточную игру.</p><p>В колоде есть $$$n$$$ карт, со стоимостями от $$$1$$$ до $$$n$$$. Стоимости всех карт <span class="tex-font-style-bf">попарно различны</span> (это значит, что нет двух карт с одинаковой стоимостью). В начале игры колода полностью распределяется между игроками каким-то образом, причем у каждого игрока есть по крайней мере одна карта. </p><p>Игра идет следующим образом: каждый ход каждый игрок выбирает одну из своих карт (которую захочет), и кладет на стол так, чтобы другой игрок не видел выбранную карту. После этого обе карты вскрываются, и игрок, стоимость карты которого была больше, забирает себе обе карты в руку. Заметьте, что так как стоимости карт различны, стоимость одной из карт будет строго больше, чем другой. Любую карту можно использовать любое количество раз. Проигрывает тот, у кого не осталось карт.</p><p>К примеру, пусть $$$n = 5$$$, у первого игрока есть карты со стоимостями $$$2$$$ и $$$3$$$, а у второго есть карты со стоимостями $$$1$$$, $$$4$$$, $$$5$$$. Ниже продемонстрирован возможный ход игры:</p><ul><li><p>Первый игрок выбирает карту $$$3$$$, второй игрок выбирает карту $$$1$$$. Так как $$$3>1$$$, первый игрок получает обе карты. Теперь у первого игрока есть карты $$$1$$$, $$$2$$$, $$$3$$$, у второго игрока есть карты $$$4$$$, $$$5$$$.</p></li><li><p>Первый игрок выбирает карту $$$3$$$, второй игрок выбирает карту $$$4$$$. Так как $$$3<4$$$, второй игрок получает обе карты. Теперь у первого игрока есть карты $$$1$$$, $$$2$$$, у второго игрока есть карты $$$3$$$, $$$4$$$, $$$5$$$</p></li><li><p>Первый игрок выбирает карту $$$1$$$, второй игрок выбирает карту $$$3$$$. Так как $$$1<3$$$, второй игрок получает обе карты. Теперь у первого игрока есть только карта $$$2$$$, у второго игрока есть карты $$$1$$$, $$$3$$$, $$$4$$$, $$$5$$$</p></li><li><p>Первый игрок выбирает карту $$$2$$$, второй игрок выбирает карту $$$4$$$. Так как $$$2<4$$$, второй игрок получает обе карты. Теперь у первого игрока не осталось карт, и он проигрывает. Как следствие, второй игрок побеждает.</p></li></ul><p>Кто победит, если оба игрока играют оптимально? Можно показать, что если каждый игрок стремится победить, то у одного из игроков есть выигрышная стратегия.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Во входных данных находятся несколько (не меньше одного) тестовых случаев. В первой строке находится одно целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество тестовых случаев. Далее следуют описания тестовых случаев.</p><p>Первая строка описания тестового случая содержит три целых числа $$$n$$$, $$$k_1$$$, $$$k_2$$$ ($$$2 \le n \le 100, 1 \le k_1 \le n - 1, 1 \le k_2 \le n - 1, k_1 + k_2 = n$$$) — количество карт, количество карт у первого игрока и второго игрока соответственно.</p><p>Вторая строка описания тестового случая содержит $$$k_1$$$ целых чисел $$$a_1, \dots, a_{k_1}$$$ ($$$1 \le a_i \le n$$$) — стоимости карт первого игрока.</p><p>Третья строка описания тестового случая содержит $$$k_2$$$ целых чисел $$$b_1, \dots, b_{k_2}$$$ ($$$1 \le b_i \le n$$$) — стоимости карт второго игрока. </p><p>Гарантируется, что все стоимости карт различны.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая, выведите «<span class="tex-font-style-tt">YES</span>» с новой строки, если первый игрок победит. Иначе, выведите «<span class="tex-font-style-tt">NO</span>» с новой строки. Вы можете выводить каждую букву в любом регистре (строчную или заглавную).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 1 1 2 1 5 2 3 2 3 1 4 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае примера, у каждого игрока есть только один возможный ход: первый игрок положит $$$2$$$, второй игрок положит $$$1$$$. $$$2>1$$$, поэтому первый игрок заберет обе карточки и победит.</p><p>Во втором тестовом случае примера, можно показать, что у второго игрока есть выигрышная стратегия. 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 800 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='7a022f8fc492fbf95ef8d341b0632152'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="505386"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='7a022f8fc492fbf95ef8d341b0632152'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="505386"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; if (!pre) { s = s.replace(/\s+/g, " "); } if (s.length > 0) { result.push(s); } } if (pre && node.tagName === "BR") { result.push("\n"); } node.childNodes.forEach(function (child) { result.push(nodeToText(child, node.tagName === "PRE").join("")); }); if (node.tagName === "DIV" \|\| node.tagName === "P" \|\| node.tagName === "PRE" \|\| node.tagName === "UL" \|\| node.tagName === "LI" ) { result.push("\n"); } if (node.tagName === "NOBR") { result.push(CLOSING_SPACE); } return result; } const isSpecial = function (c) { return c === ',' \|\| c === '.' \|\| c === ';' \|\| c === ')' \|\| c === ' '; } const convertStatementToText = function(statmentNode) { const text = nodeToText(statmentNode, false).join("").replace(/ +/g, " ").replace(/\n\n+/g, "\n\n"); let result = []; for (let i = 0; i < text.length; i++) { const c = text.charAt(i); if (c === OPENING_SPACE) { if (!((i > 0 && text.charAt(i - 1) === '(') \|\| (result.length > 0 && result[result.length - 1] === ' '))) { result.push('+'); } } else if (c === CLOSING_SPACE) { if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) { result.push('-'); } } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_c32c32b4262cc6aefa27aea381eee99220eca952"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Игра с картами</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Два игрока решили сыграть в интересную карточную игру.</p><p>В колоде есть $$$n$$$ карт, со стоимостями от $$$1$$$ до $$$n$$$. Стоимости всех карт <span class="tex-font-style-bf">попарно различны</span> (это значит, что нет двух карт с одинаковой стоимостью). В начале игры колода полностью распределяется между игроками каким-то образом, причем у каждого игрока есть по крайней мере одна карта. </p><p>Игра идет следующим образом: каждый ход каждый игрок выбирает одну из своих карт (которую захочет), и кладет на стол так, чтобы другой игрок не видел выбранную карту. После этого обе карты вскрываются, и игрок, стоимость карты которого была больше, забирает себе обе карты в руку. Заметьте, что так как стоимости карт различны, стоимость одной из карт будет строго больше, чем другой. Любую карту можно использовать любое количество раз. Проигрывает тот, у кого не осталось карт.</p><p>К примеру, пусть $$$n = 5$$$, у первого игрока есть карты со стоимостями $$$2$$$ и $$$3$$$, а у второго есть карты со стоимостями $$$1$$$, $$$4$$$, $$$5$$$. Ниже продемонстрирован возможный ход игры:</p><ul><li><p>Первый игрок выбирает карту $$$3$$$, второй игрок выбирает карту $$$1$$$. Так как $$$3>1$$$, первый игрок получает обе карты. Теперь у первого игрока есть карты $$$1$$$, $$$2$$$, $$$3$$$, у второго игрока есть карты $$$4$$$, $$$5$$$.</p></li><li><p>Первый игрок выбирает карту $$$3$$$, второй игрок выбирает карту $$$4$$$. Так как $$$3<4$$$, второй игрок получает обе карты. Теперь у первого игрока есть карты $$$1$$$, $$$2$$$, у второго игрока есть карты $$$3$$$, $$$4$$$, $$$5$$$</p></li><li><p>Первый игрок выбирает карту $$$1$$$, второй игрок выбирает карту $$$3$$$. Так как $$$1<3$$$, второй игрок получает обе карты. Теперь у первого игрока есть только карта $$$2$$$, у второго игрока есть карты $$$1$$$, $$$3$$$, $$$4$$$, $$$5$$$</p></li><li><p>Первый игрок выбирает карту $$$2$$$, второй игрок выбирает карту $$$4$$$. Так как $$$2<4$$$, второй игрок получает обе карты. Теперь у первого игрока не осталось карт, и он проигрывает. Как следствие, второй игрок побеждает.</p></li></ul><p>Кто победит, если оба игрока играют оптимально? Можно показать, что если каждый игрок стремится победить, то у одного из игроков есть выигрышная стратегия.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Во входных данных находятся несколько (не меньше одного) тестовых случаев. В первой строке находится одно целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество тестовых случаев. Далее следуют описания тестовых случаев.</p><p>Первая строка описания тестового случая содержит три целых числа $$$n$$$, $$$k_1$$$, $$$k_2$$$ ($$$2 \le n \le 100, 1 \le k_1 \le n - 1, 1 \le k_2 \le n - 1, k_1 + k_2 = n$$$) — количество карт, количество карт у первого игрока и второго игрока соответственно.</p><p>Вторая строка описания тестового случая содержит $$$k_1$$$ целых чисел $$$a_1, \dots, a_{k_1}$$$ ($$$1 \le a_i \le n$$$) — стоимости карт первого игрока.</p><p>Третья строка описания тестового случая содержит $$$k_2$$$ целых чисел $$$b_1, \dots, b_{k_2}$$$ ($$$1 \le b_i \le n$$$) — стоимости карт второго игрока. </p><p>Гарантируется, что все стоимости карт различны.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая, выведите «<span class="tex-font-style-tt">YES</span>» с новой строки, если первый игрок победит. Иначе, выведите «<span class="tex-font-style-tt">NO</span>» с новой строки. Вы можете выводить каждую букву в любом регистре (строчную или заглавную).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 1 1 2 1 5 2 3 2 3 1 4 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае примера, у каждого игрока есть только один возможный ход: первый игрок положит $$$2$$$, второй игрок положит $$$1$$$. $$$2>1$$$, поэтому первый игрок заберет обе карточки и победит.</p><p>Во втором тестовом случае примера, можно показать, что у второго игрока есть выигрышная стратегия. Один из возможных ходов игры приведен в условии. </p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/34424"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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1270B	1270	B	ru	B. Интересный подмассив	<div class="problem-statement"><div class="header"><div class="title">B. Интересный подмассив</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Для массива $$$a$$$ из целых чисел обозначим его максимальный элемент через $$$\max(a)$$$, а минимальный через $$$\min(a)$$$. Будем называть массив $$$a$$$ из $$$k$$$ целых чисел <span class="tex-font-style-bf">интересным</span>, если $$$\max(a) - \min(a) \ge k$$$. К примеру, массив $$$[1, 3, 4, 3]$$$ не является интересным, так как $$$\max(a) - \min(a) = 4 - 1 = 3 < 4$$$, а массив $$$[7, 3, 0, 4, 3]$$$ является, так как $$$\max(a) - \min(a) = 7 - 0 = 7 \ge 5$$$.</p><p>Вам дан массив $$$a$$$ из $$$n$$$ целых чисел. Найдите какой-то интересный <span class="tex-font-style-bf">непустой</span> подмассив $$$a$$$, или сообщите, что его не существует.</p><p>Массив $$$b$$$ является подмассивом $$$a$$$, если $$$b$$$ может быть получен из $$$a$$$ удалением нескольких (возможно, ни одного или всех) элементов из начала и нескольких (возможно, ни одного или всех) элементов из конца. В частности, массив является своим подмассивом.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10\,000$$$). Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка описания тестового случая содержит единственное число $$$n$$$ ($$$2\le n \le 2\cdot 10^5$$$) — длина массива.</p><p>Вторая строка описания тестового случая содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$0\le a_i \le 10^9$$$) — элементы массива.</p><p>Гарантируется, что сумма значений $$$n$$$ по всем тестовым случаям не превосходит $$$2 \cdot 10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая, выведите «<span class="tex-font-style-tt">NO</span>» с новой строки, если в $$$a$$$ нет интересного непустого подмассива. </p><p>Иначе, выведите «<span class="tex-font-style-tt">YES</span>» с новой строки. В следующей строке выведите два целых числа $$$l$$$ и $$$r$$$ ($$$1\le l \le r \le n$$$) — границы выбранного вами подмассива. Если существует несколько решений, выведите любое из них.</p><p>Вы можете выводить каждую букву в любом регистре (строчную или заглавную).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 5 1 2 3 4 5 4 2 0 1 9 2 2019 2020 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO YES 1 4 NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Во втором тестовом случае примера, одним из возможных интересных подмассивов является $$$a = [2, 0, 1, 9]$$$: $$$\max(a) - \min(a) = 9 - 0 = 9 \ge 4$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="8ac1738e607981b36d82539457948405"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="76e6fa6876da1144fa79d7bf9eeeaf69290cd915"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_c78335dd411af347f55a9426f4f4e500e591e521"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Интересный подмассив</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Для массива $$$a$$$ из целых чисел обозначим его максимальный элемент через $$$\max(a)$$$, а минимальный через $$$\min(a)$$$. Будем называть массив $$$a$$$ из $$$k$$$ целых чисел <span class="tex-font-style-bf">интересным</span>, если $$$\max(a) - \min(a) \ge k$$$. К примеру, массив $$$[1, 3, 4, 3]$$$ не является интересным, так как $$$\max(a) - \min(a) = 4 - 1 = 3 < 4$$$, а массив $$$[7, 3, 0, 4, 3]$$$ является, так как $$$\max(a) - \min(a) = 7 - 0 = 7 \ge 5$$$.</p><p>Вам дан массив $$$a$$$ из $$$n$$$ целых чисел. Найдите какой-то интересный <span class="tex-font-style-bf">непустой</span> подмассив $$$a$$$, или сообщите, что его не существует.</p><p>Массив $$$b$$$ является подмассивом $$$a$$$, если $$$b$$$ может быть получен из $$$a$$$ удалением нескольких (возможно, ни одного или всех) элементов из начала и нескольких (возможно, ни одного или всех) элементов из конца. В частности, массив является своим подмассивом.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10\,000$$$). Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка описания тестового случая содержит единственное число $$$n$$$ ($$$2\le n \le 2\cdot 10^5$$$) — длина массива.</p><p>Вторая строка описания тестового случая содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$0\le a_i \le 10^9$$$) — элементы массива.</p><p>Гарантируется, что сумма значений $$$n$$$ по всем тестовым случаям не превосходит $$$2 \cdot 10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая, выведите «<span class="tex-font-style-tt">NO</span>» с новой строки, если в $$$a$$$ нет интересного непустого подмассива. </p><p>Иначе, выведите «<span class="tex-font-style-tt">YES</span>» с новой строки. В следующей строке выведите два целых числа $$$l$$$ и $$$r$$$ ($$$1\le l \le r \le n$$$) — границы выбранного вами подмассива. Если существует несколько решений, выведите любое из них.</p><p>Вы можете выводить каждую букву в любом регистре (строчную или заглавную).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 5 1 2 3 4 5 4 2 0 1 9 2 2019 2020 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO YES 1 4 NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Во втором тестовом случае примера, одним из возможных интересных подмассивов является $$$a = [2, 0, 1, 9]$$$: $$$\max(a) - \min(a) = 9 - 0 = 9 \ge 4$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); 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1270C	1270	C	ru	C. Сделай хорошим	<div class="problem-statement"><div class="header"><div class="title">C. Сделай хорошим</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Будем называть массив $$$a_1, a_2, \dots, a_m$$$ неотрицательных целых чисел <span class="tex-font-style-bf">хорошим</span>, если $$$a_1 + a_2 + \dots + a_m = 2\cdot(a_1 \oplus a_2 \oplus \dots \oplus a_m)$$$, где $$$\oplus$$$ обозначает операцию <a href="https://ru.wikipedia.org/wiki/Сложение_по_модулю_2">побитового исключающего ИЛИ</a>.</p><p>К примеру, массив $$$[1, 2, 3, 6]$$$ является хорошим, так как $$$1 + 2 + 3 + 6 = 12 = 2\cdot 6 = 2\cdot (1\oplus 2 \oplus 3 \oplus 6)$$$. В то же время, массив $$$[1, 2, 1, 3]$$$ хорошим не является, так как $$$1 + 2 + 1 + 3 = 7 \neq 2\cdot 1 = 2\cdot(1\oplus 2 \oplus 1 \oplus 3)$$$.</p><p>Вам дан массив длины $$$n$$$: $$$a_1, a_2, \dots, a_n$$$. Добавьте к нему не более $$$3$$$ элементов, чтобы он стал хорошим. Добавленные элементы не обязаны быть различными. Можно показать, что при данных ограничениях решение всегда существует. Если существует несколько возможных решений, выведите любое из них. Обратите внимание, что <span class="tex-font-style-bf">минимизировать количество добавленных элементов не требуется!</span>. В частности если массив изначально уже хороший, то вы можете не добавлять элементов.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Во входных данных находятся несколько (не меньше одного) тестовых случаев. В первой строке находится одно целое число $$$t$$$ ($$$1 \le t \le 10\,000$$$) — количество тестовых случаев. Далее следуют описания тестовых случаев.</p><p>Первая строка описания тестового случая содержит единственное число $$$n$$$ $$$(1\le n \le 10^5)$$$ — длину массива.</p><p>Вторая строка описания тестового случая содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$0\le a_i \le 10^9$$$) — элементы массива.</p><p>Гарантируется, что сумма значений $$$n$$$ по всем тестовым случаям не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая выведите две строки.</p><p>В первой строке, выведите единственное целое число $$$s$$$ ($$$0\le s\le 3$$$) — количество элементов, которые вы хотите добавить. </p><p>Во второй строке, выведите $$$s$$$ целых чисел $$$b_1, \dots, b_s$$$ ($$$0\le b_i \le 10^{18}$$$) — элементы, которые вы хотите добавить.</p><p>Если существует несколько возможных решений, вы можете вывести любое из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 4 1 2 3 6 1 8 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 2 4 4 3 2 6 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае из примера, сумма элементов массива равна $$$12$$$, а их $$$\oplus$$$ равен $$$6$$$, поэтому условие уже выполнено.</p><p>Во втором тестовом случае из примера, после добавления $$$4, 4$$$, массив принимает вид $$$[8, 4, 4]$$$. Сумма элементов в нем равна $$$16$$$, а их $$$\oplus$$$ равен $$$8$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="f6317c99d4fa6e0148f4a28d961e1e23"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - C - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="76e6fa6876da1144fa79d7bf9eeeaf69290cd915"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - C - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_2ee9d4d82336a8f07115b0cb2f77a462232e8e4c"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Сделай хорошим</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Будем называть массив $$$a_1, a_2, \dots, a_m$$$ неотрицательных целых чисел <span class="tex-font-style-bf">хорошим</span>, если $$$a_1 + a_2 + \dots + a_m = 2\cdot(a_1 \oplus a_2 \oplus \dots \oplus a_m)$$$, где $$$\oplus$$$ обозначает операцию <a href="https://ru.wikipedia.org/wiki/Сложение_по_модулю_2">побитового исключающего ИЛИ</a>.</p><p>К примеру, массив $$$[1, 2, 3, 6]$$$ является хорошим, так как $$$1 + 2 + 3 + 6 = 12 = 2\cdot 6 = 2\cdot (1\oplus 2 \oplus 3 \oplus 6)$$$. В то же время, массив $$$[1, 2, 1, 3]$$$ хорошим не является, так как $$$1 + 2 + 1 + 3 = 7 \neq 2\cdot 1 = 2\cdot(1\oplus 2 \oplus 1 \oplus 3)$$$.</p><p>Вам дан массив длины $$$n$$$: $$$a_1, a_2, \dots, a_n$$$. Добавьте к нему не более $$$3$$$ элементов, чтобы он стал хорошим. Добавленные элементы не обязаны быть различными. Можно показать, что при данных ограничениях решение всегда существует. Если существует несколько возможных решений, выведите любое из них. Обратите внимание, что <span class="tex-font-style-bf">минимизировать количество добавленных элементов не требуется!</span>. В частности если массив изначально уже хороший, то вы можете не добавлять элементов.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Во входных данных находятся несколько (не меньше одного) тестовых случаев. В первой строке находится одно целое число $$$t$$$ ($$$1 \le t \le 10\,000$$$) — количество тестовых случаев. Далее следуют описания тестовых случаев.</p><p>Первая строка описания тестового случая содержит единственное число $$$n$$$ $$$(1\le n \le 10^5)$$$ — длину массива.</p><p>Вторая строка описания тестового случая содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$0\le a_i \le 10^9$$$) — элементы массива.</p><p>Гарантируется, что сумма значений $$$n$$$ по всем тестовым случаям не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая выведите две строки.</p><p>В первой строке, выведите единственное целое число $$$s$$$ ($$$0\le s\le 3$$$) — количество элементов, которые вы хотите добавить. </p><p>Во второй строке, выведите $$$s$$$ целых чисел $$$b_1, \dots, b_s$$$ ($$$0\le b_i \le 10^{18}$$$) — элементы, которые вы хотите добавить.</p><p>Если существует несколько возможных решений, вы можете вывести любое из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 4 1 2 3 6 1 8 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 2 4 4 3 2 6 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае из примера, сумма элементов массива равна $$$12$$$, а их $$$\oplus$$$ равен $$$6$$$, поэтому условие уже выполнено.</p><p>Во втором тестовом случае из примера, после добавления $$$4, 4$$$, массив принимает вид $$$[8, 4, 4]$$$. 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1270D	1270	D	ru	D. Странный прибор	<div class="problem-statement"><div class="header"><div class="title">D. Странный прибор</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-bf">Это интерактивная задача</span>.</p><p>Мы загадали массив $$$a$$$ из $$$n$$$ <span class="tex-font-style-bf">попарно различных</span> чисел (это значит, что нет одинаковых чисел). Вы можете узнавать информацию об этом массиве с помощью нового прибора, который вы заказали на Amazon. </p><p>Данный прибор может отвечать на запрос следующего вида: в ответ на индексы $$$k$$$ различных элементов массива, он вернет вам позицию и значение $$$m$$$-го по возрастанию среди них.</p><p>К сожалению, инструкция к прибору потерялась при доставке. Вы помните $$$k$$$, но не помните $$$m$$$. Ваша задача — найти $$$m$$$ с помощью запросов к данному прибору. </p><p>Вы можете задать <span class="tex-font-style-bf">не более $$$n$$$ запросов</span>.</p><p>Обратите внимание, что массив $$$a$$$, а также число $$$m$$$ зафиксированы перед началом взаимодействия и не зависят от ваших запросов. Иными словами, <span class="tex-font-style-bf">интерактор не адаптивен</span>.</p><p>Заметьте, что число запросов минимизировать не нужно, как и угадывать весь массив $$$a$$$. Вам нужно только угадать $$$m$$$. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит два целых числа $$$n$$$ и $$$k$$$ ($$$1\le k < n \le 500$$$) — длина массива и количество элементов в запросе соответственно.</p><p>Гарантируется, что искомое $$$m$$$ удовлетворяет $$$1\le m \le k$$$, элементы $$$a_1, a_2, \dots, a_n$$$ массива удовлетворяют $$$0\le a_i \le 10^9$$$ и все они различны.</p></div><div><div class="section-title">Протокол взаимодействия</div><p>Вы начинаете взаимодействие, считав $$$n$$$ и $$$k$$$.</p><p>Чтобы задать вопрос об элементах на позициях $$$x_1, x_2, \dots, x_k$$$, в отдельной строке выведите</p><p>$$$?$$$ $$$x_1$$$ $$$x_2$$$ $$$x_3$$$ ... $$$x_k$$$</p><p>Числа в запросе должны удовлетворять условию $$$1 \le x_i \le n$$$, и все $$$x_i$$$ должны быть различными. Не забудьте сделать операцию 'flush', чтобы получить ответ.</p><p>В ответ, вы получите два числа $$$pos$$$ и $$$a_{pos}$$$ — позиция в массиве $$$a$$$ $$$m$$$-го в порядке возрастания элемента среди $$$a_{x_1}, a_{x_2}, \dots, a_{x_k}$$$, и сам элемент на этой позиции.</p><p>В случае, если ваш запрос не соответствует требованиям, или вы задали более $$$n$$$ запросов, программа выведет $$$-1$$$ и прекратит взаимодействие. Вы получите вердикт <span class="tex-font-style-bf">Неправильный ответ</span>. Вам нужно завершить работу вашей программы, чтобы не получить другие вердикты.</p><p>Когда вы определили $$$m$$$, выведите </p><p>$$$!$$$ $$$m$$$</p><p>После вывода запроса не забудьте вывести перевод строки и сбросить буфер вывода. В противном случае вы получите вердикт <span class="tex-font-style-tt">Решение «зависло»</span>. Для сброса буфера используйте:</p><ul><li> <span class="tex-font-style-tt">fflush(stdout)</span> или <span class="tex-font-style-tt">cout.flush()</span> в C++;</li><li> <span class="tex-font-style-tt">System.out.flush()</span> в Java;</li><li> <span class="tex-font-style-tt">flush(output)</span> в Pascal;</li><li> <span class="tex-font-style-tt">stdout.flush()</span> в Python;</li><li> смотрите документацию для других языков.</li></ul><p><span class="tex-font-style-bf">Формат взломов</span></p><p>Для взломов используйте следующий формат:</p><p>Первая строка должна содержать три целых числа $$$n, k, m$$$ ($$$1 \le m \le k < n \le 500$$$) — длина массива, количество чисел в запросе, и какое в порядке возрастания число возвращает прибор.</p><p>В следующей строке выведите $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$0\le a_i \le 10^9$$$) — элементы массива. Они должны быть попарно различными.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 4 9 4 9 4 9 1 2</pre></div><div class="output"><div class="title">Выходные данные</div><pre> ? 2 3 4 ? 1 3 4 ? 1 2 4 ? 1 2 3 ! 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В примере, $$$n = 4$$$, $$$k = 3$$$, $$$m = 3$$$, $$$a = [2, 0, 1, 9]$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="5be060b12289867c0de97e491d0ba41d"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/82653/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="h2"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/82653/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/82653/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="76e6fa6876da1144fa79d7bf9eeeaf69290cd915"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/82653/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/82653/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/82653/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_96557c4a9077c2391debd6cf7dbe0566618299c9"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Странный прибор</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-bf">Это интерактивная задача</span>.</p><p>Мы загадали массив $$$a$$$ из $$$n$$$ <span class="tex-font-style-bf">попарно различных</span> чисел (это значит, что нет одинаковых чисел). Вы можете узнавать информацию об этом массиве с помощью нового прибора, который вы заказали на Amazon. </p><p>Данный прибор может отвечать на запрос следующего вида: в ответ на индексы $$$k$$$ различных элементов массива, он вернет вам позицию и значение $$$m$$$-го по возрастанию среди них.</p><p>К сожалению, инструкция к прибору потерялась при доставке. Вы помните $$$k$$$, но не помните $$$m$$$. Ваша задача — найти $$$m$$$ с помощью запросов к данному прибору. </p><p>Вы можете задать <span class="tex-font-style-bf">не более $$$n$$$ запросов</span>.</p><p>Обратите внимание, что массив $$$a$$$, а также число $$$m$$$ зафиксированы перед началом взаимодействия и не зависят от ваших запросов. Иными словами, <span class="tex-font-style-bf">интерактор не адаптивен</span>.</p><p>Заметьте, что число запросов минимизировать не нужно, как и угадывать весь массив $$$a$$$. Вам нужно только угадать $$$m$$$. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит два целых числа $$$n$$$ и $$$k$$$ ($$$1\le k < n \le 500$$$) — длина массива и количество элементов в запросе соответственно.</p><p>Гарантируется, что искомое $$$m$$$ удовлетворяет $$$1\le m \le k$$$, элементы $$$a_1, a_2, \dots, a_n$$$ массива удовлетворяют $$$0\le a_i \le 10^9$$$ и все они различны.</p></div><div><div class="section-title">Протокол взаимодействия</div><p>Вы начинаете взаимодействие, считав $$$n$$$ и $$$k$$$.</p><p>Чтобы задать вопрос об элементах на позициях $$$x_1, x_2, \dots, x_k$$$, в отдельной строке выведите</p><p>$$$?$$$ $$$x_1$$$ $$$x_2$$$ $$$x_3$$$ ... $$$x_k$$$</p><p>Числа в запросе должны удовлетворять условию $$$1 \le x_i \le n$$$, и все $$$x_i$$$ должны быть различными. Не забудьте сделать операцию 'flush', чтобы получить ответ.</p><p>В ответ, вы получите два числа $$$pos$$$ и $$$a_{pos}$$$ — позиция в массиве $$$a$$$ $$$m$$$-го в порядке возрастания элемента среди $$$a_{x_1}, a_{x_2}, \dots, a_{x_k}$$$, и сам элемент на этой позиции.</p><p>В случае, если ваш запрос не соответствует требованиям, или вы задали более $$$n$$$ запросов, программа выведет $$$-1$$$ и прекратит взаимодействие. Вы получите вердикт <span class="tex-font-style-bf">Неправильный ответ</span>. Вам нужно завершить работу вашей программы, чтобы не получить другие вердикты.</p><p>Когда вы определили $$$m$$$, выведите </p><p>$$$!$$$ $$$m$$$</p><p>После вывода запроса не забудьте вывести перевод строки и сбросить буфер вывода. В противном случае вы получите вердикт <span class="tex-font-style-tt">Решение «зависло»</span>. Для сброса буфера используйте:</p><ul><li> <span class="tex-font-style-tt">fflush(stdout)</span> или <span class="tex-font-style-tt">cout.flush()</span> в C++;</li><li> <span class="tex-font-style-tt">System.out.flush()</span> в Java;</li><li> <span class="tex-font-style-tt">flush(output)</span> в Pascal;</li><li> <span class="tex-font-style-tt">stdout.flush()</span> в Python;</li><li> смотрите документацию для других языков.</li></ul><p><span class="tex-font-style-bf">Формат взломов</span></p><p>Для взломов используйте следующий формат:</p><p>Первая строка должна содержать три целых числа $$$n, k, m$$$ ($$$1 \le m \le k < n \le 500$$$) — длина массива, количество чисел в запросе, и какое в порядке возрастания число возвращает прибор.</p><p>В следующей строке выведите $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$0\le a_i \le 10^9$$$) — элементы массива. Они должны быть попарно различными.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 4 9 4 9 4 9 1 2</pre></div><div class="output"><div class="title">Выходные данные</div><pre> ? 2 3 4 ? 1 3 4 ? 1 2 4 ? 1 2 3 ! 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В примере, $$$n = 4$$$, $$$k = 3$$$, $$$m = 3$$$, $$$a = [2, 0, 1, 9]$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); 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1270E	1270	E	ru	E. Разделите точки	<div class="problem-statement"><div class="header"><div class="title">E. Разделите точки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано множество из $$$n\ge 2$$$ <span class="tex-font-style-bf">попарно различных</span> точек с целыми координатами. Вы должны разделить эти точки на 2 <span class="tex-font-style-bf">непустые</span> группы $$$A$$$ и $$$B$$$, чтобы следующее условие выполнялось:</p><p>Для любых двух точек $$$P$$$ и $$$Q$$$, напишите <a href="https://ru.wikipedia.org/wiki/Евклидова_метрика">Евклидово расстояние</a> между ними на доске: если они принадлежат <span class="tex-font-style-bf">одной и той же</span> группе — <span class="tex-font-style-bf">желтым</span> цветом, а если <span class="tex-font-style-bf">различным</span> группам — <span class="tex-font-style-bf">синим</span> цветом. <span class="tex-font-style-bf">Тогда ни одное желтое число не должно равняться ни одному синему числу</span>.</p><p>Гарантируется, что такое разбиение существует при данных ограничениях. Если существуют различные разбиения, вы можете вывести любое из них.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит одно целое число $$$n$$$ $$$(2 \le n \le 10^3)$$$ — количество точек.</p><p>$$$i$$$-я из следующих $$$n$$$ строк содержит два целых числа $$$x_i$$$ и $$$y_i$$$ ($$$-10^6 \le x_i, y_i \le 10^6$$$) — координаты $$$i$$$-й точки. </p><p>Гарантируется, что все $$$n$$$ точек попарно различны.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке, выведите $$$a$$$ ($$$1 \le a \le n-1$$$) — количество точек в группе $$$A$$$.</p><p>Во второй строке, выведите $$$a$$$ чисел — номера точек, которые вы берете в группу $$$A$$$.</p><p>Если существует несколько решений, выведите любое из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 0 0 0 1 1 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 0 1 0 -1 1 0 -1 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 1 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 -2 1 1 1 -1 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 2 5 0 3 -4 -1 -5 -4 1 0 3 -1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 -1000000 -1000000 1000000 1000000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, мы берем точку $$$(0, 0)$$$ в группу $$$A$$$, а точки $$$(0, 1)$$$ и $$$(1, 0)$$$ в группу $$$B$$$. Таким образом, на доске будет написано $$$1$$$ желтое число $$$\sqrt{2}$$$ и $$$2$$$ синих числа $$$1$$$.</p><p>Во втором примере, мы берем точки $$$(0, 1)$$$ и $$$(0, -1)$$$ в группу $$$A$$$, а точки $$$(-1, 0)$$$ и $$$(1, 0)$$$ в группу $$$B$$$. Таким образом, на доске будет написано $$$2$$$ желтых числа $$$2$$$ и $$$4$$$ синих числа $$$\sqrt{2}$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="bf633e96ffbc501a60ce7a7f97b9dbce"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="76e6fa6876da1144fa79d7bf9eeeaf69290cd915"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 2300 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='bf633e96ffbc501a60ce7a7f97b9dbce'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="505390"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='bf633e96ffbc501a60ce7a7f97b9dbce'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="505390"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_fcd29a20ec466bf111225662eda70f481f0cb78d"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Разделите точки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано множество из $$$n\ge 2$$$ <span class="tex-font-style-bf">попарно различных</span> точек с целыми координатами. Вы должны разделить эти точки на 2 <span class="tex-font-style-bf">непустые</span> группы $$$A$$$ и $$$B$$$, чтобы следующее условие выполнялось:</p><p>Для любых двух точек $$$P$$$ и $$$Q$$$, напишите <a href="https://ru.wikipedia.org/wiki/Евклидова_метрика">Евклидово расстояние</a> между ними на доске: если они принадлежат <span class="tex-font-style-bf">одной и той же</span> группе — <span class="tex-font-style-bf">желтым</span> цветом, а если <span class="tex-font-style-bf">различным</span> группам — <span class="tex-font-style-bf">синим</span> цветом. <span class="tex-font-style-bf">Тогда ни одное желтое число не должно равняться ни одному синему числу</span>.</p><p>Гарантируется, что такое разбиение существует при данных ограничениях. Если существуют различные разбиения, вы можете вывести любое из них.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит одно целое число $$$n$$$ $$$(2 \le n \le 10^3)$$$ — количество точек.</p><p>$$$i$$$-я из следующих $$$n$$$ строк содержит два целых числа $$$x_i$$$ и $$$y_i$$$ ($$$-10^6 \le x_i, y_i \le 10^6$$$) — координаты $$$i$$$-й точки. </p><p>Гарантируется, что все $$$n$$$ точек попарно различны.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке, выведите $$$a$$$ ($$$1 \le a \le n-1$$$) — количество точек в группе $$$A$$$.</p><p>Во второй строке, выведите $$$a$$$ чисел — номера точек, которые вы берете в группу $$$A$$$.</p><p>Если существует несколько решений, выведите любое из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 0 0 0 1 1 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 0 1 0 -1 1 0 -1 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 1 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 -2 1 1 1 -1 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 2 5 0 3 -4 -1 -5 -4 1 0 3 -1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 -1000000 -1000000 1000000 1000000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, мы берем точку $$$(0, 0)$$$ в группу $$$A$$$, а точки $$$(0, 1)$$$ и $$$(1, 0)$$$ в группу $$$B$$$. Таким образом, на доске будет написано $$$1$$$ желтое число $$$\sqrt{2}$$$ и $$$2$$$ синих числа $$$1$$$.</p><p>Во втором примере, мы берем точки $$$(0, 1)$$$ и $$$(0, -1)$$$ в группу $$$A$$$, а точки $$$(-1, 0)$$$ и $$$(1, 0)$$$ в группу $$$B$$$. Таким образом, на доске будет написано $$$2$$$ желтых числа $$$2$$$ и $$$4$$$ синих числа $$$\sqrt{2}$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/34424"); $("#facebox .diff-popup").html(result["diff"]); 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1270F	1270	F	ru	F. Восхитительные подстроки	<div class="problem-statement"><div class="header"><div class="title">F. Восхитительные подстроки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>8 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Назовем бинарную строку $$$s$$$ <span class="tex-font-style-bf">восхитительной</span>, если она содержит по крайней мере $$$1$$$ символ <span class="tex-font-style-tt">1</span> и длина строки делится на количество <span class="tex-font-style-tt">1</span> в ней. К примеру, <span class="tex-font-style-tt">1</span>, <span class="tex-font-style-tt">1010</span>, <span class="tex-font-style-tt">111</span> являются <span class="tex-font-style-bf">восхитительными</span>, но <span class="tex-font-style-tt">0</span>, <span class="tex-font-style-tt">110</span>, <span class="tex-font-style-tt">01010</span> не являются.</p><p>Вам дана бинарная строка $$$s$$$. Посчитайте количество ее <span class="tex-font-style-bf">восхитительных</span> подстрок.</p><p>Строка $$$a$$$ является подстрокой $$$b$$$, если $$$a$$$ может быть получена из $$$b$$$ удалением нескольких (возможно, ни одного или всех) символов из начала и нескольких (возможно, ни одного или всех) символов из конца.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит строку $$$s$$$ ($$$1 \leq \|s\|\le 200\,000$$$), состоящую только из нулей и единиц.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите единственное число — количество <span class="tex-font-style-bf">восхитительных</span> подстрок $$$s$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 111 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 01010 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 0000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1111100000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 25 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, все подстроки $$$s$$$ являются <span class="tex-font-style-bf">восхитительными</span>.</p><p>Во втором примере, есть следующие <span class="tex-font-style-bf">восхитительные</span> подстроки $$$s$$$: <span class="tex-font-style-tt">1</span> ($$$2$$$ раза), <span class="tex-font-style-tt">01</span> ($$$2$$$ раза), <span class="tex-font-style-tt">10</span> ($$$2$$$ раза), <span class="tex-font-style-tt">010</span> ($$$2$$$ раза), <span class="tex-font-style-tt">1010</span>, <span class="tex-font-style-tt">0101</span></p><p>В третьем примере, ни одна подстрока не является <span class="tex-font-style-bf">восхитительной</span>.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="feaa799886d3bcdc6fd29de640eef4f2"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - F - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="76e6fa6876da1144fa79d7bf9eeeaf69290cd915"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - F - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 2600 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='feaa799886d3bcdc6fd29de640eef4f2'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="505391"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='feaa799886d3bcdc6fd29de640eef4f2'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="505391"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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if (!pre) { s = s.replace(/\s+/g, " "); } if (s.length > 0) { result.push(s); } } if (pre && node.tagName === "BR") { result.push("\n"); } node.childNodes.forEach(function (child) { result.push(nodeToText(child, node.tagName === "PRE").join("")); }); if (node.tagName === "DIV" \|\| node.tagName === "P" \|\| node.tagName === "PRE" \|\| node.tagName === "UL" \|\| node.tagName === "LI" ) { result.push("\n"); } if (node.tagName === "NOBR") { result.push(CLOSING_SPACE); } return result; } const isSpecial = function (c) { return c === ',' \|\| c === '.' \|\| c === ';' \|\| c === ')' \|\| c === ' '; } const convertStatementToText = function(statmentNode) { const text = nodeToText(statmentNode, false).join("").replace(/ +/g, " ").replace(/\n\n+/g, "\n\n"); let result = []; for (let i = 0; i < text.length; i++) { const c = text.charAt(i); if (c === OPENING_SPACE) { if (!((i > 0 && text.charAt(i - 1) === '(') \|\| (result.length > 0 && result[result.length - 1] === ' '))) { result.push('+'); } } else if (c === CLOSING_SPACE) { if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) { result.push('-'); } } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_18f20c24f424e67253210754b767cba7b64cb6a2"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Восхитительные подстроки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>8 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Назовем бинарную строку $$$s$$$ <span class="tex-font-style-bf">восхитительной</span>, если она содержит по крайней мере $$$1$$$ символ <span class="tex-font-style-tt">1</span> и длина строки делится на количество <span class="tex-font-style-tt">1</span> в ней. К примеру, <span class="tex-font-style-tt">1</span>, <span class="tex-font-style-tt">1010</span>, <span class="tex-font-style-tt">111</span> являются <span class="tex-font-style-bf">восхитительными</span>, но <span class="tex-font-style-tt">0</span>, <span class="tex-font-style-tt">110</span>, <span class="tex-font-style-tt">01010</span> не являются.</p><p>Вам дана бинарная строка $$$s$$$. Посчитайте количество ее <span class="tex-font-style-bf">восхитительных</span> подстрок.</p><p>Строка $$$a$$$ является подстрокой $$$b$$$, если $$$a$$$ может быть получена из $$$b$$$ удалением нескольких (возможно, ни одного или всех) символов из начала и нескольких (возможно, ни одного или всех) символов из конца.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит строку $$$s$$$ ($$$1 \leq \|s\|\le 200\,000$$$), состоящую только из нулей и единиц.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите единственное число — количество <span class="tex-font-style-bf">восхитительных</span> подстрок $$$s$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 111 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 01010 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 0000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1111100000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 25 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, все подстроки $$$s$$$ являются <span class="tex-font-style-bf">восхитительными</span>.</p><p>Во втором примере, есть следующие <span class="tex-font-style-bf">восхитительные</span> подстроки $$$s$$$: <span class="tex-font-style-tt">1</span> ($$$2$$$ раза), <span class="tex-font-style-tt">01</span> ($$$2$$$ раза), <span class="tex-font-style-tt">10</span> ($$$2$$$ раза), <span class="tex-font-style-tt">010</span> ($$$2$$$ раза), <span class="tex-font-style-tt">1010</span>, <span class="tex-font-style-tt">0101</span></p><p>В третьем примере, ни одна подстрока не является <span class="tex-font-style-bf">восхитительной</span>.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); 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1270G	1270	G	ru	G. Подмножество с суммой ноль	<div class="problem-statement"><div class="header"><div class="title">G. Подмножество с суммой ноль</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам даны $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$, причем для каждого $$$1\le i \le n$$$ выполняется $$$i-n\le a_i\le i-1$$$.</p><p>Найдите какое-то непустое подмножество этих чисел, сумма которых равна $$$0$$$. Можно показать, что при данных ограничениях такое подмножество существует. Если существуют несколько подмножеств с суммой ноль, вы можете вывести любое из них.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Во входных данных находятся несколько (не меньше одного) тестовых случаев. В первой строке находится одно целое число $$$t$$$ ($$$1 \le t \le 10^6$$$) — количество тестовых случаев. Далее следуют описания тестовых случаев.</p><p>Первая строка описания тестового случая содержит единственное целое число $$$n$$$ ($$$1\le n \le 10^6$$$).</p><p>Вторая строка описания тестового случая содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$i-n \le a_i \le i-1$$$).</p><p>Гарантируется, что сумма значений $$$n$$$ по всем тестовым случаям не превосходит $$$10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого теста, выведите две строки. </p><p>В первой строке выведите $$$s$$$ ($$$1\le s \le n$$$) — количество элементов в вашем подмножестве.</p><p>В второй строке выведите $$$s$$$ чисел $$$i_1, i_2, \dots, i_s$$$ ($$$1\le i_k \le n$$$). Все числа должны быть попарно различными, а сумма $$$a_{i_1} + a_{i_2} + \dots + a_{i_s}$$$ должна быть равна $$$0$$$. Если существуют несколько подмножеств с суммой ноль, вы можете вывести любое из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 5 0 1 2 3 4 4 -3 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 4 1 4 3 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, сумма равна $$$a_1 = 0$$$.</p><p>Во втором примере, сумма равна $$$a_1 + a_4 + a_3 + a_2 = 0$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="cf167a5b57e0c35f170c653f80f5496f"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - G - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="76e6fa6876da1144fa79d7bf9eeeaf69290cd915"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - G - Codeforces</title> <meta name="description" content="Codeforces. 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Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1270/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="G" data-uuid="ps_baf8e39e1741ccc001c898a3f710036701d3a94f"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">G. Подмножество с суммой ноль</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам даны $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$, причем для каждого $$$1\le i \le n$$$ выполняется $$$i-n\le a_i\le i-1$$$.</p><p>Найдите какое-то непустое подмножество этих чисел, сумма которых равна $$$0$$$. Можно показать, что при данных ограничениях такое подмножество существует. Если существуют несколько подмножеств с суммой ноль, вы можете вывести любое из них.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Во входных данных находятся несколько (не меньше одного) тестовых случаев. В первой строке находится одно целое число $$$t$$$ ($$$1 \le t \le 10^6$$$) — количество тестовых случаев. Далее следуют описания тестовых случаев.</p><p>Первая строка описания тестового случая содержит единственное целое число $$$n$$$ ($$$1\le n \le 10^6$$$).</p><p>Вторая строка описания тестового случая содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$i-n \le a_i \le i-1$$$).</p><p>Гарантируется, что сумма значений $$$n$$$ по всем тестовым случаям не превосходит $$$10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого теста, выведите две строки. </p><p>В первой строке выведите $$$s$$$ ($$$1\le s \le n$$$) — количество элементов в вашем подмножестве.</p><p>В второй строке выведите $$$s$$$ чисел $$$i_1, i_2, \dots, i_s$$$ ($$$1\le i_k \le n$$$). Все числа должны быть попарно различными, а сумма $$$a_{i_1} + a_{i_2} + \dots + a_{i_s}$$$ должна быть равна $$$0$$$. Если существуют несколько подмножеств с суммой ноль, вы можете вывести любое из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 5 0 1 2 3 4 4 -3 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 4 1 4 3 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, сумма равна $$$a_1 = 0$$$.</p><p>Во втором примере, сумма равна $$$a_1 + a_4 + a_3 + a_2 = 0$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=G]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); 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1270H	1270	H	ru	H. Количество компонент	<div class="problem-statement"><div class="header"><div class="title">H. Количество компонент</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>8 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть у нас имеется массив из $$$n$$$ различных чисел $$$a_1, a_2, \dots, a_n$$$. Построим граф на $$$n$$$ вершинах следующим образом: для любой пары вершин $$$i < j$$$ соединим вершины $$$i$$$ и $$$j$$$ ребром, если $$$a_i < a_j$$$. Назовем <span class="tex-font-style-bf">весом</span> массива количество компонент в полученном графе. Например, вес массива $$$[1, 4, 2]$$$ равен $$$1$$$, вес массива $$$[5, 4, 3]$$$ равен $$$3$$$.</p><p>Вам необходимо выполнить $$$q$$$ запросов следующего вида — изменить значение в позиции. После каждого изменения вам необходимо вывести вес полученного массива. Обратите внимание, что изменения не независимы (изменение сохраняется на будущее).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит два целых числа $$$n$$$ и $$$q$$$ ($$$1 \le n, q \le 5 \cdot 10^5$$$) — размер массива и количество запросов.</p><p>Вторая строка содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^6$$$) — исходный массив.</p><p>Каждая из следующих $$$q$$$ строк содержит два целых числа $$$pos$$$ и $$$x$$$ ($$$1 \le pos \le n$$$, $$$1 \le x \le 10^6, x \ne a_{pos}$$$). Это значит, что необходимо сделать $$$a_{pos}=x$$$.</p><p>Гарантируется, что в любой момент времени все числа в массиве различны.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>После каждого запроса выведите вес полученного массива.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 3 50 40 30 20 10 1 25 3 45 1 48 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 3 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>После первого запроса изменения массив имеет вид $$$[25, 40, 30, 20, 10]$$$. Вес равен $$$3$$$.</p><p>После второго запроса изменения массив имеет вид $$$[25, 40, 45, 20, 10]$$$. Вес все еще равен $$$3$$$.</p><p>После третьего запроса изменения массив имеет вид $$$[48, 40, 45, 20, 10]$$$. Вес равен $$$4$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="d64ce3b7f1102727988c71cdc9b9710a"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - H - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="76e6fa6876da1144fa79d7bf9eeeaf69290cd915"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - H - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="H" data-uuid="ps_d94441e8cba4fe6a0986ff6182d982353e589e89"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">H. Количество компонент</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>8 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть у нас имеется массив из $$$n$$$ различных чисел $$$a_1, a_2, \dots, a_n$$$. Построим граф на $$$n$$$ вершинах следующим образом: для любой пары вершин $$$i < j$$$ соединим вершины $$$i$$$ и $$$j$$$ ребром, если $$$a_i < a_j$$$. Назовем <span class="tex-font-style-bf">весом</span> массива количество компонент в полученном графе. Например, вес массива $$$[1, 4, 2]$$$ равен $$$1$$$, вес массива $$$[5, 4, 3]$$$ равен $$$3$$$.</p><p>Вам необходимо выполнить $$$q$$$ запросов следующего вида — изменить значение в позиции. После каждого изменения вам необходимо вывести вес полученного массива. Обратите внимание, что изменения не независимы (изменение сохраняется на будущее).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит два целых числа $$$n$$$ и $$$q$$$ ($$$1 \le n, q \le 5 \cdot 10^5$$$) — размер массива и количество запросов.</p><p>Вторая строка содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^6$$$) — исходный массив.</p><p>Каждая из следующих $$$q$$$ строк содержит два целых числа $$$pos$$$ и $$$x$$$ ($$$1 \le pos \le n$$$, $$$1 \le x \le 10^6, x \ne a_{pos}$$$). Это значит, что необходимо сделать $$$a_{pos}=x$$$.</p><p>Гарантируется, что в любой момент времени все числа в массиве различны.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>После каждого запроса выведите вес полученного массива.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 3 50 40 30 20 10 1 25 3 45 1 48 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 3 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>После первого запроса изменения массив имеет вид $$$[25, 40, 30, 20, 10]$$$. Вес равен $$$3$$$.</p><p>После второго запроса изменения массив имеет вид $$$[25, 40, 45, 20, 10]$$$. Вес все еще равен $$$3$$$.</p><p>После третьего запроса изменения массив имеет вид $$$[48, 40, 45, 20, 10]$$$. 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1270I	1270	I	ru	I. Ксорим на фигурах	<div class="problem-statement"><div class="header"><div class="title">I. Ксорим на фигурах</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>5 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Дано целое число $$$k$$$ и доска $$$2^k \times 2^k$$$, в клетках которой записаны числа, клетка $$$(i, j)$$$ изначально содержит число $$$a_{ij}$$$. Доска считается тором, то есть, клетка справа от $$$(i, 2^k)$$$ это $$$(i, 1)$$$, а клетка вниз от $$$(2^k, i)$$$ это $$$(1, i)$$$. Также дана клетчатая фигурка $$$F$$$, состоящая из $$$t$$$ клеток, где $$$t$$$ <span class="tex-font-style-bf">нечетное</span>. $$$F$$$ не обязана быть связной.</p><p>Мы можем выполнять следующую операцию: положить $$$F$$$ на доску (разрешены только параллельные переносы, повороты и симметрии запрещены). Теперь выберите произвольное неотрицательное число $$$p$$$. После этого, для каждой клетки $$$(i, j)$$$, покрытой $$$F$$$, замените $$$a_{ij}$$$ на $$$a_{ij}\oplus p$$$, где $$$\oplus$$$ обозначает операцию <a href="https://ru.wikipedia.org/wiki/Сложение_по_модулю_2">побитового исключающего ИЛИ</a>.</p><p>Более формально, пусть $$$F$$$ задана клетками $$$(x_1, y_1), (x_2, y_2), \dots, (x_t, y_t)$$$. Тогда вы можете проделать следующую операцию: выбрать любые $$$x, y$$$ с $$$1\le x, y \le 2^k$$$, любое неотрицательное число $$$p$$$, и для каждого $$$i$$$ от $$$1$$$ до $$$n$$$ заменить число в клетке $$$(((x + x_i - 1)\bmod 2^k) + 1, ((y + y_i - 1)\bmod 2^k) + 1)$$$ на $$$a_{((x + x_i - 1)\bmod 2^k) + 1, ((y + y_i - 1)\bmod 2^k) + 1}\oplus p$$$.</p><p>Мы хотим сделать все числа равными $$$0$$$. Можем ли мы этого достичь? Если да, то найдите наименьшее возможное число операций, с помощью которых этого можно добиться.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит единственное целое число $$$k$$$ ($$$1 \le k \le 9$$$).</p><p>$$$i$$$-я из следующих $$$2^k$$$ строк содержит $$$2^k$$$ целых чисел $$$a_{i1}, a_{i2}, \dots, a_{i2^k}$$$ ($$$0 \le a_{ij} < 2^{60}$$$) — изначальные значения чисел в $$$i$$$-й строке доски.</p><p>Следующая строка содержит единственное целое число $$$t$$$ ($$$1\le t \le \min(99, 4^k)$$$, $$$t$$$ нечетное) — количество клеток фигуры.</p><p>$$$i$$$-я из следующих $$$t$$$ строк содержит два целых числа $$$x_i$$$ и $$$y_i$$$ ($$$1 \le x_i, y_i \le 2^k$$$), описывающих позицию $$$i$$$-й клетки фигуры.</p><p>Гарантируется, что все клетки различны, но <span class="tex-font-style-bf">не гарантируется, что фигура связная</span>. </p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно сделать все числа на доске равными $$$0$$$ с этими операциями, выведите $$$-1$$$.</p><p>Иначе, выведите единственное число — минимальное количество операций, необходимых, чтобы это сделать. Можно показать, что если возможно сделать все числа равными $$$0$$$, это можно сделать за не более чем $$$10^{18}$$$ операций.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 5 5 5 5 2 6 2 3 0 0 2 0 0 0 0 0 5 1 1 1 2 1 3 1 4 2 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3</pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Фигурка и операции для примера приведены ниже:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/1f5c9fd5964809bc1d06c5999ab7fdf4dc29b1e6.png" style="max-width: 100.0%;max-height: 100.0%;"/> </center></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="7afa742ab4a3ef45904c5e3eb9449093"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - I - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="76e6fa6876da1144fa79d7bf9eeeaf69290cd915"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - I - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="I" data-uuid="ps_bce36982385c358246a9f5900408d55537dd5700"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">I. Ксорим на фигурах</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>5 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Дано целое число $$$k$$$ и доска $$$2^k \times 2^k$$$, в клетках которой записаны числа, клетка $$$(i, j)$$$ изначально содержит число $$$a_{ij}$$$. Доска считается тором, то есть, клетка справа от $$$(i, 2^k)$$$ это $$$(i, 1)$$$, а клетка вниз от $$$(2^k, i)$$$ это $$$(1, i)$$$. Также дана клетчатая фигурка $$$F$$$, состоящая из $$$t$$$ клеток, где $$$t$$$ <span class="tex-font-style-bf">нечетное</span>. $$$F$$$ не обязана быть связной.</p><p>Мы можем выполнять следующую операцию: положить $$$F$$$ на доску (разрешены только параллельные переносы, повороты и симметрии запрещены). Теперь выберите произвольное неотрицательное число $$$p$$$. После этого, для каждой клетки $$$(i, j)$$$, покрытой $$$F$$$, замените $$$a_{ij}$$$ на $$$a_{ij}\oplus p$$$, где $$$\oplus$$$ обозначает операцию <a href="https://ru.wikipedia.org/wiki/Сложение_по_модулю_2">побитового исключающего ИЛИ</a>.</p><p>Более формально, пусть $$$F$$$ задана клетками $$$(x_1, y_1), (x_2, y_2), \dots, (x_t, y_t)$$$. Тогда вы можете проделать следующую операцию: выбрать любые $$$x, y$$$ с $$$1\le x, y \le 2^k$$$, любое неотрицательное число $$$p$$$, и для каждого $$$i$$$ от $$$1$$$ до $$$n$$$ заменить число в клетке $$$(((x + x_i - 1)\bmod 2^k) + 1, ((y + y_i - 1)\bmod 2^k) + 1)$$$ на $$$a_{((x + x_i - 1)\bmod 2^k) + 1, ((y + y_i - 1)\bmod 2^k) + 1}\oplus p$$$.</p><p>Мы хотим сделать все числа равными $$$0$$$. Можем ли мы этого достичь? Если да, то найдите наименьшее возможное число операций, с помощью которых этого можно добиться.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит единственное целое число $$$k$$$ ($$$1 \le k \le 9$$$).</p><p>$$$i$$$-я из следующих $$$2^k$$$ строк содержит $$$2^k$$$ целых чисел $$$a_{i1}, a_{i2}, \dots, a_{i2^k}$$$ ($$$0 \le a_{ij} < 2^{60}$$$) — изначальные значения чисел в $$$i$$$-й строке доски.</p><p>Следующая строка содержит единственное целое число $$$t$$$ ($$$1\le t \le \min(99, 4^k)$$$, $$$t$$$ нечетное) — количество клеток фигуры.</p><p>$$$i$$$-я из следующих $$$t$$$ строк содержит два целых числа $$$x_i$$$ и $$$y_i$$$ ($$$1 \le x_i, y_i \le 2^k$$$), описывающих позицию $$$i$$$-й клетки фигуры.</p><p>Гарантируется, что все клетки различны, но <span class="tex-font-style-bf">не гарантируется, что фигура связная</span>. </p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно сделать все числа на доске равными $$$0$$$ с этими операциями, выведите $$$-1$$$.</p><p>Иначе, выведите единственное число — минимальное количество операций, необходимых, чтобы это сделать. Можно показать, что если возможно сделать все числа равными $$$0$$$, это можно сделать за не более чем $$$10^{18}$$$ операций.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 5 5 5 5 2 6 2 3 0 0 2 0 0 0 0 0 5 1 1 1 2 1 3 1 4 2 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3</pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Фигурка и операции для примера приведены ниже:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/1f5c9fd5964809bc1d06c5999ab7fdf4dc29b1e6.png" style="max-width: 100.0%;max-height: 100.0%;" /> </center></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=I]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); 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1271A	1271	A	ru	A. Костюмы	<div class="problem-statement"><div class="header"><div class="title">A. Костюмы</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>В магазин привезли новую партию одежды, а именно $$$a$$$ галстуков, $$$b$$$ шарфов, $$$c$$$ жилеток и $$$d$$$ пиджаков.</p><p>Магазин специализируется на продаже костюмов. Бывают костюмы двух типов:</p><ul> <li> первый тип — костюм, состоящий из галстука и пиджака; </li><li> второй тип — костюм, состоящий из шарфа, жилетки и пиджака. </li></ul><p>Костюмы первого типа стоят $$$e$$$ монет, а костюмы второго — $$$f$$$ монет.</p><p>Определите максимальную суммарную стоимость костюмов, которые можно составить из новой партии одежды. Помните, что одна и та же вещь не может принадлежать сразу нескольким костюмам (хотя могут быть вещи, которые не будут использованы ни в каком костюме).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следует целое число $$$a$$$ $$$(1 \le a \le 100\,000)$$$ — количество галстуков.</p><p>Во второй строке следует целое число $$$b$$$ $$$(1 \le b \le 100\,000)$$$ — количество шарфов.</p><p>В третьей строке следует целое число $$$c$$$ $$$(1 \le c \le 100\,000)$$$ — количество жилеток.</p><p>В четвертой строке следует целое число $$$d$$$ $$$(1 \le d \le 100\,000)$$$ — количество пиджаков.</p><p>В пятой строке следует целое число $$$e$$$ $$$(1 \le e \le 1\,000)$$$ — стоимость одного костюма первого типа.</p><p>В шестой строке следует целое число $$$f$$$ $$$(1 \le f \le 1\,000)$$$ — стоимость одного костюма второго типа.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите целое число — максимальную суммарную стоимость костюмов, которые можно составить из новой партии одежды. </p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 5 6 3 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 12 11 13 20 4 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 102 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 17 14 5 21 15 17 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 325 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере нужно составить три костюма второго типа. Их суммарная стоимость будет равна $$$6$$$. После этого нельзя сделать ни одного костюма первого типа, так как изначально было всего три пиджака, которые уже использованы для костюмов второго типа.</p><p>Во втором примере можно составить девять костюмов первого типа и одиннадцать костюмов второго типа. Их суммарная стоимость равна $$$9 \cdot 4 + 11 \cdot 6 = 102$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="d417cdbe0d86758f4526c122308d6b66"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - A - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="4930b912b02c540a7791047b10cf12e89f8f30fa"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - A - Codeforces</title> <meta name="description" content="Codeforces. 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 800 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='d417cdbe0d86758f4526c122308d6b66'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="495881"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='d417cdbe0d86758f4526c122308d6b66'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="495881"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72164" title="Codeforces Round #608 (Div. 2, по задачам Саратовского муниципального этапа ВОШ)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10066:10067" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72247" title="72247" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10094:10095" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1271">Задачи</a></li> <li><a href="/contest/1271/submit">Отослать</a></li> <li><a href="/contest/1271/my">Мои посылки</a></li> <li><a href="/contest/1271/status">Статус</a></li> <li><a href="/contest/1271/hacks">Взломы</a></li> <li><a href="/contest/1271/room/1">Комната</a></li> <li><a href="/contest/1271/standings">Положение</a></li> <li><a href="/contest/1271/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_b18e6b5efb71858ba82983f1c4a59cd8fa901b07"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Костюмы</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>В магазин привезли новую партию одежды, а именно $$$a$$$ галстуков, $$$b$$$ шарфов, $$$c$$$ жилеток и $$$d$$$ пиджаков.</p><p>Магазин специализируется на продаже костюмов. Бывают костюмы двух типов:</p><ul> <li> первый тип — костюм, состоящий из галстука и пиджака; </li><li> второй тип — костюм, состоящий из шарфа, жилетки и пиджака. </li></ul><p>Костюмы первого типа стоят $$$e$$$ монет, а костюмы второго — $$$f$$$ монет.</p><p>Определите максимальную суммарную стоимость костюмов, которые можно составить из новой партии одежды. Помните, что одна и та же вещь не может принадлежать сразу нескольким костюмам (хотя могут быть вещи, которые не будут использованы ни в каком костюме).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следует целое число $$$a$$$ $$$(1 \le a \le 100\,000)$$$ — количество галстуков.</p><p>Во второй строке следует целое число $$$b$$$ $$$(1 \le b \le 100\,000)$$$ — количество шарфов.</p><p>В третьей строке следует целое число $$$c$$$ $$$(1 \le c \le 100\,000)$$$ — количество жилеток.</p><p>В четвертой строке следует целое число $$$d$$$ $$$(1 \le d \le 100\,000)$$$ — количество пиджаков.</p><p>В пятой строке следует целое число $$$e$$$ $$$(1 \le e \le 1\,000)$$$ — стоимость одного костюма первого типа.</p><p>В шестой строке следует целое число $$$f$$$ $$$(1 \le f \le 1\,000)$$$ — стоимость одного костюма второго типа.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите целое число — максимальную суммарную стоимость костюмов, которые можно составить из новой партии одежды. </p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 5 6 3 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 12 11 13 20 4 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 102 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 17 14 5 21 15 17 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 325 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере нужно составить три костюма второго типа. Их суммарная стоимость будет равна $$$6$$$. После этого нельзя сделать ни одного костюма первого типа, так как изначально было всего три пиджака, которые уже использованы для костюмов второго типа.</p><p>Во втором примере можно составить девять костюмов первого типа и одиннадцать костюмов второго типа. Их суммарная стоимость равна $$$9 \cdot 4 + 11 \cdot 6 = 102$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/34424"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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1271B	1271	B	ru	B. Кубики	<div class="problem-statement"><div class="header"><div class="title">B. Кубики</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>На столе в ряд выложены $$$n$$$ кубиков, каждый из которых покрашен в черный или белый цвет. Кубики пронумерованы слева направо, начиная с единицы. </p><p>Вы можете ноль или более раз применить к последовательности кубиков следующую операцию: выбрать два <span class="tex-font-style-bf">соседних</span> кубика и инвертировать их цвета (заменить белый на чёрный, и наоборот).</p><p>Определите такую последовательность операций, что после их применения все кубики станут либо полностью белыми, либо полностью чёрными. Вам <span class="tex-font-style-bf">не нужно</span> минимизировать количество операций, но их количество не должно превосходить $$$3 \cdot n$$$. Если невозможно сделать все кубики одноцветными, сообщите об этом.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следует целое число $$$n$$$ ($$$2 \le n \le 200$$$) — количество кубиков.</p><p>Во второй строке следует строка $$$s$$$ длины $$$n$$$, состоящая из символов «<span class="tex-font-style-tt">W</span>» и «<span class="tex-font-style-tt">B</span>». Если $$$i$$$-й символ строки равен «<span class="tex-font-style-tt">W</span>», то $$$i$$$-й кубик изначально имеет белый цвет. Если $$$i$$$-й символ строки равен «<span class="tex-font-style-tt">B</span>», то $$$i$$$-й кубик изначально имеет чёрный цвет. </p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно сделать все кубики одноцветными с помощью описанных операций, выведите $$$-1$$$.</p><p>В противном случае, в первую строку выведите целое число $$$k$$$ ($$$0 \le k \le 3 \cdot n$$$) — количество операций, которые нужно произвести. Во второй строке выведите $$$k$$$ целых чисел $$$p_1, p_2, \dots, p_k$$$ $$$(1 \le p_j \le n - 1)$$$, где $$$p_j$$$ равно позиции левого из двух соседних кубиков, у которых нужно инвертировать цвета во время $$$j$$$-й операции.</p><p>Если ответов несколько, разрешается вывести любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 8 BWWWWWWB </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 6 2 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 BWBB </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 WWWWW </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 BWB </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 2 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере можно сделать все кубики чёрными, например, за $$$3$$$ операции. Сначала можно инвертировать цвета кубиков в позициях $$$6$$$ и $$$7$$$. После этого последовательность цветов кубиков будет выглядеть как «<span class="tex-font-style-tt">BWWWWBBB</span>». Затем можно инвертировать цвета кубиков в позициях $$$2$$$ и $$$3$$$. После этого последовательность цветов кубиков будет выглядеть как «<span class="tex-font-style-tt">BBBWWBBB</span>». В ходе третьей операции нужно инвертировать цвета кубиков в позициях $$$4$$$ и $$$5$$$. После этого все кубики станут чёрного цвета.</p><p>Во втором примере невозможно сделать все кубики одноцветными.</p><p>В третьем примере все кубики изначально имеют белый цвет, поэтому можно не использовать операции инвертирования цветов.</p><p>В четвертом примере можно сделать все кубики белыми за две операции. Сначала нужно инвертировать цвета кубиков $$$2$$$ и $$$3$$$ (последовательность цветов после этого будет выглядеть как «<span class="tex-font-style-tt">BBW</span>»), а затем инвертировать цвета кубиков $$$1$$$ и $$$2$$$ (после этого все кубики станут белого цвета).</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="de3a43ddbccc8b8305cff623bbf4a4f3"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/34424/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="k3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/34424/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="4930b912b02c540a7791047b10cf12e89f8f30fa"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72164" title="Codeforces Round #608 (Div. 2, по задачам Саратовского муниципального этапа ВОШ)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10066:10067" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72247" title="72247" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10094:10095" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1271">Задачи</a></li> <li><a href="/contest/1271/submit">Отослать</a></li> <li><a href="/contest/1271/my">Мои посылки</a></li> <li><a href="/contest/1271/status">Статус</a></li> <li><a href="/contest/1271/hacks">Взломы</a></li> <li><a href="/contest/1271/room/1">Комната</a></li> <li><a href="/contest/1271/standings">Положение</a></li> <li><a href="/contest/1271/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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if (!pre) { s = s.replace(/\s+/g, " "); } if (s.length > 0) { result.push(s); } } if (pre && node.tagName === "BR") { result.push("\n"); } node.childNodes.forEach(function (child) { result.push(nodeToText(child, node.tagName === "PRE").join("")); }); if (node.tagName === "DIV" \|\| node.tagName === "P" \|\| node.tagName === "PRE" \|\| node.tagName === "UL" \|\| node.tagName === "LI" ) { result.push("\n"); } if (node.tagName === "NOBR") { result.push(CLOSING_SPACE); } return result; } const isSpecial = function (c) { return c === ',' \|\| c === '.' \|\| c === ';' \|\| c === ')' \|\| c === ' '; } const convertStatementToText = function(statmentNode) { const text = nodeToText(statmentNode, false).join("").replace(/ +/g, " ").replace(/\n\n+/g, "\n\n"); let result = []; for (let i = 0; i < text.length; i++) { const c = text.charAt(i); if (c === OPENING_SPACE) { if (!((i > 0 && text.charAt(i - 1) === '(') \|\| (result.length > 0 && result[result.length - 1] === ' '))) { result.push('+'); } } else if (c === CLOSING_SPACE) { if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) { result.push('-'); } } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_652c8c68c342afcacb5497fcd350a81bd50fc4f4"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Кубики</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>На столе в ряд выложены $$$n$$$ кубиков, каждый из которых покрашен в черный или белый цвет. Кубики пронумерованы слева направо, начиная с единицы. </p><p>Вы можете ноль или более раз применить к последовательности кубиков следующую операцию: выбрать два <span class="tex-font-style-bf">соседних</span> кубика и инвертировать их цвета (заменить белый на чёрный, и наоборот).</p><p>Определите такую последовательность операций, что после их применения все кубики станут либо полностью белыми, либо полностью чёрными. Вам <span class="tex-font-style-bf">не нужно</span> минимизировать количество операций, но их количество не должно превосходить $$$3 \cdot n$$$. Если невозможно сделать все кубики одноцветными, сообщите об этом.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следует целое число $$$n$$$ ($$$2 \le n \le 200$$$) — количество кубиков.</p><p>Во второй строке следует строка $$$s$$$ длины $$$n$$$, состоящая из символов «<span class="tex-font-style-tt">W</span>» и «<span class="tex-font-style-tt">B</span>». Если $$$i$$$-й символ строки равен «<span class="tex-font-style-tt">W</span>», то $$$i$$$-й кубик изначально имеет белый цвет. Если $$$i$$$-й символ строки равен «<span class="tex-font-style-tt">B</span>», то $$$i$$$-й кубик изначально имеет чёрный цвет. </p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно сделать все кубики одноцветными с помощью описанных операций, выведите $$$-1$$$.</p><p>В противном случае, в первую строку выведите целое число $$$k$$$ ($$$0 \le k \le 3 \cdot n$$$) — количество операций, которые нужно произвести. Во второй строке выведите $$$k$$$ целых чисел $$$p_1, p_2, \dots, p_k$$$ $$$(1 \le p_j \le n - 1)$$$, где $$$p_j$$$ равно позиции левого из двух соседних кубиков, у которых нужно инвертировать цвета во время $$$j$$$-й операции.</p><p>Если ответов несколько, разрешается вывести любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 8 BWWWWWWB </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 6 2 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 BWBB </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 WWWWW </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 BWB </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 2 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере можно сделать все кубики чёрными, например, за $$$3$$$ операции. Сначала можно инвертировать цвета кубиков в позициях $$$6$$$ и $$$7$$$. После этого последовательность цветов кубиков будет выглядеть как «<span class="tex-font-style-tt">BWWWWBBB</span>». Затем можно инвертировать цвета кубиков в позициях $$$2$$$ и $$$3$$$. После этого последовательность цветов кубиков будет выглядеть как «<span class="tex-font-style-tt">BBBWWBBB</span>». В ходе третьей операции нужно инвертировать цвета кубиков в позициях $$$4$$$ и $$$5$$$. После этого все кубики станут чёрного цвета.</p><p>Во втором примере невозможно сделать все кубики одноцветными.</p><p>В третьем примере все кубики изначально имеют белый цвет, поэтому можно не использовать операции инвертирования цветов.</p><p>В четвертом примере можно сделать все кубики белыми за две операции. Сначала нужно инвертировать цвета кубиков $$$2$$$ и $$$3$$$ (последовательность цветов после этого будет выглядеть как «<span class="tex-font-style-tt">BBW</span>»), а затем инвертировать цвета кубиков $$$1$$$ и $$$2$$$ (после этого все кубики станут белого цвета).</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/34424"); 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1271C	1271	C	ru	C. Ларек с шаурмой	<div class="problem-statement"><div class="header"><div class="title">C. Ларек с шаурмой</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>План столицы Берляндии представляет собой плоскость, причем все строения расположены в точках с целочисленными координатами, а пешеходными улицами являются отрезки, соединяющие каждую точку с четырьмя соседними. Все пешеходные улицы параллельны осям координат.</p><p>Известно, что школа в столице Берляндии расположена в точке $$$(s_x, s_y)$$$. В школе учатся $$$n$$$ учеников, причем $$$i$$$-й ученик живет в доме, который расположен в точке $$$(x_i, y_i)$$$. Допустимо, что несколько учеников живут в одном и том же доме, но никакой ученик не живет в точке $$$(s_x, s_y)$$$.</p><p>После занятий каждый ученик идет из школы до своего дома по улицам, причем каждый ученик обязательно идет до своего дома по какому-то из кратчайших путей. Таким образом, расстояние, которое преодолеет $$$i$$$-й ученик, чтобы добраться из школы до дома, равно $$$\|s_x - x_i\| + \|s_y - y_i\|$$$.</p><p>Министерство питания решило установить ларек с шаурмой в столице Берляндии в точке с целочисленными координатами. Считается, что $$$i$$$-й школьник купит шаурму в ларьке, если ларек находится на одном из кратчайших путей $$$i$$$-го школьника до дома. Запрещено ставить ларек с шаурмой в той же точке, в которой расположена школа, но разрешено ставить ларек в той точке, в которой расположен дом кого-то из учеников.</p><p>Определите максимальное количество школьников, которые смогут купить шаурму в ларьке, а также сообщите координаты для постройки ларька.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следует три целых числа $$$n$$$, $$$s_x$$$, $$$s_y$$$ ($$$1 \le n \le 200\,000$$$, $$$0 \le s_x, s_y \le 10^{9}$$$) — количество школьников и координаты школы.</p><p>В $$$i$$$-й из следующих $$$n$$$ строк следуют по два целых числа $$$x_i$$$, $$$y_i$$$ ($$$0 \le x_i, y_i \le 10^{9}$$$) — координаты дома $$$i$$$-го школьника. Координаты домов у некоторых школьников могут совпадать. Гарантируется, что дом никакого школьника не расположен в той же точке, что и школа.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первую строку выведите целое число $$$c$$$ — максимальное количество школьников, которые смогут купить шаурму в ларьке. </p><p>Во вторую строку выведите два целых числа $$$p_x$$$ и $$$p_y$$$ — координаты для постройки ларька. Если подходящих ответов несколько, разрешается вывести любой из них. Обратите внимание, что каждое из чисел $$$p_x$$$ и $$$p_y$$$ должно быть не менее $$$0$$$ и не более $$$10^{9}$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 2 1 3 4 2 5 1 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 4 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 100 100 0 0 0 0 100 200 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 99 100 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 10 12 5 6 20 23 15 4 16 5 4 54 12 1 4 15 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 10 11 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере нужно построить ларек с шаурмой в точке $$$(4, 2)$$$. Тогда три школьника его посетят. Это школьники, чьи дома расположены в точках $$$(4, 2)$$$, $$$(4, 1)$$$ и $$$(5, 1)$$$.</p><p>Во втором примере можно, например, построить ларек с шаурмой в точке $$$(1, 1)$$$. В таком случае оба школьника, дом которых расположен в точке $$$(0, 0)$$$, его посетят.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="06b4f3a9fa6fb9a44dee1562d73ec52f"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - C - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="4930b912b02c540a7791047b10cf12e89f8f30fa"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - C - Codeforces</title> <meta name="description" content="Codeforces. 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_4e9dc2b13b0042e353149b3a533877ec97bd6919"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Ларек с шаурмой</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>План столицы Берляндии представляет собой плоскость, причем все строения расположены в точках с целочисленными координатами, а пешеходными улицами являются отрезки, соединяющие каждую точку с четырьмя соседними. Все пешеходные улицы параллельны осям координат.</p><p>Известно, что школа в столице Берляндии расположена в точке $$$(s_x, s_y)$$$. В школе учатся $$$n$$$ учеников, причем $$$i$$$-й ученик живет в доме, который расположен в точке $$$(x_i, y_i)$$$. Допустимо, что несколько учеников живут в одном и том же доме, но никакой ученик не живет в точке $$$(s_x, s_y)$$$.</p><p>После занятий каждый ученик идет из школы до своего дома по улицам, причем каждый ученик обязательно идет до своего дома по какому-то из кратчайших путей. Таким образом, расстояние, которое преодолеет $$$i$$$-й ученик, чтобы добраться из школы до дома, равно $$$\|s_x - x_i\| + \|s_y - y_i\|$$$.</p><p>Министерство питания решило установить ларек с шаурмой в столице Берляндии в точке с целочисленными координатами. Считается, что $$$i$$$-й школьник купит шаурму в ларьке, если ларек находится на одном из кратчайших путей $$$i$$$-го школьника до дома. Запрещено ставить ларек с шаурмой в той же точке, в которой расположена школа, но разрешено ставить ларек в той точке, в которой расположен дом кого-то из учеников.</p><p>Определите максимальное количество школьников, которые смогут купить шаурму в ларьке, а также сообщите координаты для постройки ларька.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следует три целых числа $$$n$$$, $$$s_x$$$, $$$s_y$$$ ($$$1 \le n \le 200\,000$$$, $$$0 \le s_x, s_y \le 10^{9}$$$) — количество школьников и координаты школы.</p><p>В $$$i$$$-й из следующих $$$n$$$ строк следуют по два целых числа $$$x_i$$$, $$$y_i$$$ ($$$0 \le x_i, y_i \le 10^{9}$$$) — координаты дома $$$i$$$-го школьника. Координаты домов у некоторых школьников могут совпадать. Гарантируется, что дом никакого школьника не расположен в той же точке, что и школа.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первую строку выведите целое число $$$c$$$ — максимальное количество школьников, которые смогут купить шаурму в ларьке. </p><p>Во вторую строку выведите два целых числа $$$p_x$$$ и $$$p_y$$$ — координаты для постройки ларька. Если подходящих ответов несколько, разрешается вывести любой из них. Обратите внимание, что каждое из чисел $$$p_x$$$ и $$$p_y$$$ должно быть не менее $$$0$$$ и не более $$$10^{9}$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 2 1 3 4 2 5 1 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 4 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 100 100 0 0 0 0 100 200 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 99 100 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 10 12 5 6 20 23 15 4 16 5 4 54 12 1 4 15 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 10 11 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере нужно построить ларек с шаурмой в точке $$$(4, 2)$$$. Тогда три школьника его посетят. Это школьники, чьи дома расположены в точках $$$(4, 2)$$$, $$$(4, 1)$$$ и $$$(5, 1)$$$.</p><p>Во втором примере можно, например, построить ларек с шаурмой в точке $$$(1, 1)$$$. 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1271D	1271	D	ru	D. Порталы	<div class="problem-statement"><div class="header"><div class="title">D. Порталы</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вы играете в стратегическую компьютерную игру <span class="tex-font-style-it">(да, у нас закончились идеи для легенд задач)</span>. В этой игре вы управляете огромной армией, и ваша задача — захватить $$$n$$$ замков противника.</p><p>Рассмотрим игровой процесс более подробно. Изначально у вас в управлении армия из $$$k$$$ воинов. Противник контролирует $$$n$$$ замков; для захвата $$$i$$$-го замка вам потребуется $$$a_i$$$ воинов (считается, что каждый захват замка проводится без потерь, поэтому размер армии после захвата не меняется). После захвата каждого замка вы увеличиваете свою армию, нанимая воинов в новом замке — в $$$i$$$-м замке вы сможете нанять $$$b_i$$$ воинов. Помимо захвата замков, в каждом из них можно оставить охрану (только после захвата): если вы оставляете хотя бы одного воина в замке, то этот замок будет считаться <span class="tex-font-style-it">охраняемым</span>. У каждого замка есть параметр важности $$$c_i$$$, и успешность вашей стратегии определяется суммарной важностью всех охраняемых замков в конце игры. Оставлять охрану в замке можно двумя способами:</p><ul> <li> если вы находитесь в замке $$$i$$$, вы можете оставить одного воина для охраны замка $$$i$$$; </li><li> замки связаны $$$m$$$ односторонними порталами. Каждый портал характеризуется двумя номерами соединяемых замков $$$u$$$ и $$$v$$$ <span class="tex-font-style-it">(для каждого портала $$$u > v$$$)</span>. Порталами можно пользоваться следующим способом: если вы находитесь в замке $$$u$$$, вы можете отправить одного воина охранять замок $$$v$$$ через портал. </li></ul><p>Вы захватываете замки по очереди: сначала первый, потом второй, и так далее. После захвата замка $$$i$$$, пока вы не захватили замок $$$i + 1$$$, вы можете нанять воинов в замке $$$i$$$, оставить охрану в замке $$$i$$$, а также воспользоваться любым количеством порталов, ведущих из замка $$$i$$$ в замки с меньшими номерами. После того, как вы захватите следующий замок, эти действия для замка $$$i$$$ будут уже недоступны.</p><p>Если в какой-то момент вам не хватает воинов для захвата следующего замка, вы проигрываете. Ваша цель — максимизировать суммарную важность всех охраняемых замков после захвата последнего замка (обратите внимание, что вы можете нанимать воинов в последнем замке после его захвата, оставлять в нем охрану и пользоваться порталами — суммарная важность всех охраняемых замков будет подсчитана после всех ваших действий).</p><p>Можете ли вы разработать оптимальную стратегию захвата замков и оставления охраны?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных заданы три целых числа $$$n$$$, $$$m$$$ и $$$k$$$ ($$$1 \le n \le 5000$$$, $$$0 \le m \le \min(\frac{n(n - 1)}{2}, 3 \cdot 10^5)$$$, $$$0 \le k \le 5000$$$) — количество замков, количество порталов и изначальное количество воинов в вашей армии, соответственно.</p><p>Далее следуют $$$n$$$ строк, в $$$i$$$-й из которых содержится описание $$$i$$$-го замка — три целых числа $$$a_i$$$, $$$b_i$$$ и $$$c_i$$$ ($$$0 \le a_i, b_i, c_i \le 5000$$$) — количество воинов, требуемых для захвата замка $$$i$$$, количество воинов, которых можно нанять после захвата, и важность замка, соответственно.</p><p>Далее следуют $$$m$$$ строк, в $$$i$$$-й из которых содержится описание $$$i$$$-го портала — два целых числа $$$u_i$$$ и $$$v_i$$$ ($$$1 \le v_i < u_i \le n$$$), соответствующих порталу, который ведет из замка $$$u_i$$$ в замок $$$v_i$$$. Не существует двух одинаковых порталов.</p><p>Гарантируется, что размер вашей армии ни при каких условиях не может превысить $$$5000$$$ (то есть $$$k + \sum\limits_{i = 1}^{n} b_i \le 5000$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно захватить все замки ни при каких обстоятельствах, выведите одно целое число $$$-1$$$.</p><p>Иначе выведите одно целое число — максимальную суммарную важность всех охраняемых замков в конце игры.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 7 7 4 17 3 0 8 11 2 0 13 3 5 3 1 2 1 4 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 3 7 7 4 17 3 0 8 11 2 0 13 3 5 3 1 2 1 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 22 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 3 7 7 4 17 3 0 8 11 2 0 14 3 5 3 1 2 1 4 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Лучшая стратегия в первом примере — следующая:</p><ol> <li> захватить первый замок; </li><li> нанять солдат в первом замке, теперь у вас $$$11$$$ солдат; </li><li> захватить второй замок; </li><li> захватить третий замок; </li><li> нанять солдат в третьем замке, теперь у вас $$$13$$$ солдат; </li><li> захватить четвертый замок; </li><li> оставить одного воина в четвертом замке, теперь у вас $$$12$$$ солдат. </li></ol><p>Эта стратегия (и некоторые другие) дает в результате суммарную важность охраняемых замков, равную $$$5$$$.</p><p>Лучшая стратегия во втором примере — следующая:</p><ol> <li> захватить первый замок; </li><li> нанять солдат в первом замке, теперь у вас $$$11$$$ солдат; </li><li> захватить второй замок; </li><li> захватить третий замок; </li><li> нанять солдат в третьем замке, теперь у вас $$$13$$$ солдат; </li><li> захватить четвертый замок; </li><li> оставить одного воина в четвертом замке, теперь у вас $$$12$$$ солдат; </li><li> отправить одного воина в первый замок через третий портал, теперь у вас $$$11$$$ солдат. </li></ol><p>Эта стратегия (и некоторые другие) дает в результате суммарную важность охраняемых замков, равную $$$22$$$.</p><p>В третьем примере нельзя захватить последний замок: для этого нужны $$$14$$$ воинов, но вы можете собрать не более $$$13$$$ до захвата последнего замка.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="4539bea5413fa78c8fc1474780637874"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="4930b912b02c540a7791047b10cf12e89f8f30fa"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72164" title="Codeforces Round #608 (Div. 2, по задачам Саратовского муниципального этапа ВОШ)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10066:10067" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72247" title="72247" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10094:10095" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1271">Задачи</a></li> <li><a href="/contest/1271/submit">Отослать</a></li> <li><a href="/contest/1271/my">Мои посылки</a></li> <li><a href="/contest/1271/status">Статус</a></li> <li><a href="/contest/1271/hacks">Взломы</a></li> <li><a href="/contest/1271/room/1">Комната</a></li> <li><a href="/contest/1271/standings">Положение</a></li> <li><a href="/contest/1271/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_c1109dfa6c6a563367780b9320b6bb160dc63011"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Порталы</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вы играете в стратегическую компьютерную игру <span class="tex-font-style-it">(да, у нас закончились идеи для легенд задач)</span>. В этой игре вы управляете огромной армией, и ваша задача — захватить $$$n$$$ замков противника.</p><p>Рассмотрим игровой процесс более подробно. Изначально у вас в управлении армия из $$$k$$$ воинов. Противник контролирует $$$n$$$ замков; для захвата $$$i$$$-го замка вам потребуется $$$a_i$$$ воинов (считается, что каждый захват замка проводится без потерь, поэтому размер армии после захвата не меняется). После захвата каждого замка вы увеличиваете свою армию, нанимая воинов в новом замке — в $$$i$$$-м замке вы сможете нанять $$$b_i$$$ воинов. Помимо захвата замков, в каждом из них можно оставить охрану (только после захвата): если вы оставляете хотя бы одного воина в замке, то этот замок будет считаться <span class="tex-font-style-it">охраняемым</span>. У каждого замка есть параметр важности $$$c_i$$$, и успешность вашей стратегии определяется суммарной важностью всех охраняемых замков в конце игры. Оставлять охрану в замке можно двумя способами:</p><ul> <li> если вы находитесь в замке $$$i$$$, вы можете оставить одного воина для охраны замка $$$i$$$; </li><li> замки связаны $$$m$$$ односторонними порталами. Каждый портал характеризуется двумя номерами соединяемых замков $$$u$$$ и $$$v$$$ <span class="tex-font-style-it">(для каждого портала $$$u > v$$$)</span>. Порталами можно пользоваться следующим способом: если вы находитесь в замке $$$u$$$, вы можете отправить одного воина охранять замок $$$v$$$ через портал. </li></ul><p>Вы захватываете замки по очереди: сначала первый, потом второй, и так далее. После захвата замка $$$i$$$, пока вы не захватили замок $$$i + 1$$$, вы можете нанять воинов в замке $$$i$$$, оставить охрану в замке $$$i$$$, а также воспользоваться любым количеством порталов, ведущих из замка $$$i$$$ в замки с меньшими номерами. После того, как вы захватите следующий замок, эти действия для замка $$$i$$$ будут уже недоступны.</p><p>Если в какой-то момент вам не хватает воинов для захвата следующего замка, вы проигрываете. Ваша цель — максимизировать суммарную важность всех охраняемых замков после захвата последнего замка (обратите внимание, что вы можете нанимать воинов в последнем замке после его захвата, оставлять в нем охрану и пользоваться порталами — суммарная важность всех охраняемых замков будет подсчитана после всех ваших действий).</p><p>Можете ли вы разработать оптимальную стратегию захвата замков и оставления охраны?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных заданы три целых числа $$$n$$$, $$$m$$$ и $$$k$$$ ($$$1 \le n \le 5000$$$, $$$0 \le m \le \min(\frac{n(n - 1)}{2}, 3 \cdot 10^5)$$$, $$$0 \le k \le 5000$$$) — количество замков, количество порталов и изначальное количество воинов в вашей армии, соответственно.</p><p>Далее следуют $$$n$$$ строк, в $$$i$$$-й из которых содержится описание $$$i$$$-го замка — три целых числа $$$a_i$$$, $$$b_i$$$ и $$$c_i$$$ ($$$0 \le a_i, b_i, c_i \le 5000$$$) — количество воинов, требуемых для захвата замка $$$i$$$, количество воинов, которых можно нанять после захвата, и важность замка, соответственно.</p><p>Далее следуют $$$m$$$ строк, в $$$i$$$-й из которых содержится описание $$$i$$$-го портала — два целых числа $$$u_i$$$ и $$$v_i$$$ ($$$1 \le v_i < u_i \le n$$$), соответствующих порталу, который ведет из замка $$$u_i$$$ в замок $$$v_i$$$. Не существует двух одинаковых порталов.</p><p>Гарантируется, что размер вашей армии ни при каких условиях не может превысить $$$5000$$$ (то есть $$$k + \sum\limits_{i = 1}^{n} b_i \le 5000$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно захватить все замки ни при каких обстоятельствах, выведите одно целое число $$$-1$$$.</p><p>Иначе выведите одно целое число — максимальную суммарную важность всех охраняемых замков в конце игры.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 7 7 4 17 3 0 8 11 2 0 13 3 5 3 1 2 1 4 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 3 7 7 4 17 3 0 8 11 2 0 13 3 5 3 1 2 1 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 22 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 3 7 7 4 17 3 0 8 11 2 0 14 3 5 3 1 2 1 4 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Лучшая стратегия в первом примере — следующая:</p><ol> <li> захватить первый замок; </li><li> нанять солдат в первом замке, теперь у вас $$$11$$$ солдат; </li><li> захватить второй замок; </li><li> захватить третий замок; </li><li> нанять солдат в третьем замке, теперь у вас $$$13$$$ солдат; </li><li> захватить четвертый замок; </li><li> оставить одного воина в четвертом замке, теперь у вас $$$12$$$ солдат. </li></ol><p>Эта стратегия (и некоторые другие) дает в результате суммарную важность охраняемых замков, равную $$$5$$$.</p><p>Лучшая стратегия во втором примере — следующая:</p><ol> <li> захватить первый замок; </li><li> нанять солдат в первом замке, теперь у вас $$$11$$$ солдат; </li><li> захватить второй замок; </li><li> захватить третий замок; </li><li> нанять солдат в третьем замке, теперь у вас $$$13$$$ солдат; </li><li> захватить четвертый замок; </li><li> оставить одного воина в четвертом замке, теперь у вас $$$12$$$ солдат; </li><li> отправить одного воина в первый замок через третий портал, теперь у вас $$$11$$$ солдат. </li></ol><p>Эта стратегия (и некоторые другие) дает в результате суммарную важность охраняемых замков, равную $$$22$$$.</p><p>В третьем примере нельзя захватить последний замок: для этого нужны $$$14$$$ воинов, но вы можете собрать не более $$$13$$$ до захвата последнего замка.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); 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1271E	1271	E	ru	E. Общее число	<div class="problem-statement"><div class="header"><div class="title">E. Общее число</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Введем определение функции $$$f(x)$$$: $$$$$$ \begin{matrix} f(x) & = & \left\{ \begin{matrix} \frac{x}{2} & \mbox{если } x \text{ четное} \\ x - 1 & \mbox{в противном случае } \end{matrix} \right. \end{matrix} $$$$$$</p><p>Можно заметить, что если мы выбираем некоторое число $$$v$$$ и применяем к нему функцию $$$f$$$, затем применяем функцию $$$f$$$ к числу $$$f(v)$$$, и так далее, то рано или поздно мы получим значение $$$1$$$. Выпишем все промежуточные значения на пути от $$$v$$$ до $$$1$$$ и назовем все выписанные значения $$$path(v)$$$. Например, $$$path(1) = [1]$$$, $$$path(15) = [15, 14, 7, 6, 3, 2, 1]$$$, $$$path(32) = [32, 16, 8, 4, 2, 1]$$$.</p><p>Выпишем все $$$path(x)$$$ для всех $$$x$$$ от $$$1$$$ до $$$n$$$. Перед вами стоит задача: определить максимальное число $$$m$$$ такое, что $$$m$$$ встречается хотя бы в $$$k$$$ различных $$$path(x)$$$. </p><p>Иначе говоря, нужно найти такое максимальное $$$y$$$, что $$$\left\| \{ x ~\|~ 1 \le x \le n, y \in path(x) \} \right\| \ge k$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следуют два целых числа $$$n$$$ и $$$k$$$ ($$$1 \le k \le n \le 10^{18}$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите максимальное число $$$m$$$ такое, что $$$m$$$ встречается хотя бы в $$$k$$$ различных $$$path(x)$$$. </p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 11 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 11 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 20 20 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 14 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1000000 100 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 31248 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере ответ равен $$$5$$$, так как $$$5$$$ встретится в $$$path(5)$$$, в $$$path(10)$$$ и в $$$path(11)$$$.</p><p>Во втором примере ответ равен $$$4$$$, так как $$$4$$$ встретится в $$$path(4)$$$, в $$$path(5)$$$, в $$$path(8)$$$, в $$$path(9)$$$, в $$$path(10)$$$ и в $$$path(11)$$$.</p><p>В третьем примере $$$n = k$$$, поэтому ответ равен $$$1$$$, так как $$$1$$$ это единственное число, содержащееся в путях всех чисел от $$$1$$$ до $$$20$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="24677ad1442d296ab199fbbaffa1ab12"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="4930b912b02c540a7791047b10cf12e89f8f30fa"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72164" title="Codeforces Round #608 (Div. 2, по задачам Саратовского муниципального этапа ВОШ)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10066:10067" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72247" title="72247" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10094:10095" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1271">Задачи</a></li> <li><a href="/contest/1271/submit">Отослать</a></li> <li><a href="/contest/1271/my">Мои посылки</a></li> <li><a href="/contest/1271/status">Статус</a></li> <li><a href="/contest/1271/hacks">Взломы</a></li> <li><a href="/contest/1271/room/1">Комната</a></li> <li><a href="/contest/1271/standings">Положение</a></li> <li><a href="/contest/1271/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_313a4563464709d971cad36569a072729e55eb9c"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Общее число</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Введем определение функции $$$f(x)$$$: $$$$$$ \begin{matrix} f(x) & = & \left\{ \begin{matrix} \frac{x}{2} & \mbox{если } x \text{ четное} \\ x - 1 & \mbox{в противном случае } \end{matrix} \right. \end{matrix} $$$$$$</p><p>Можно заметить, что если мы выбираем некоторое число $$$v$$$ и применяем к нему функцию $$$f$$$, затем применяем функцию $$$f$$$ к числу $$$f(v)$$$, и так далее, то рано или поздно мы получим значение $$$1$$$. Выпишем все промежуточные значения на пути от $$$v$$$ до $$$1$$$ и назовем все выписанные значения $$$path(v)$$$. Например, $$$path(1) = [1]$$$, $$$path(15) = [15, 14, 7, 6, 3, 2, 1]$$$, $$$path(32) = [32, 16, 8, 4, 2, 1]$$$.</p><p>Выпишем все $$$path(x)$$$ для всех $$$x$$$ от $$$1$$$ до $$$n$$$. Перед вами стоит задача: определить максимальное число $$$m$$$ такое, что $$$m$$$ встречается хотя бы в $$$k$$$ различных $$$path(x)$$$. </p><p>Иначе говоря, нужно найти такое максимальное $$$y$$$, что $$$\left\| \{ x ~\|~ 1 \le x \le n, y \in path(x) \} \right\| \ge k$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следуют два целых числа $$$n$$$ и $$$k$$$ ($$$1 \le k \le n \le 10^{18}$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите максимальное число $$$m$$$ такое, что $$$m$$$ встречается хотя бы в $$$k$$$ различных $$$path(x)$$$. </p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 11 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 11 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 20 20 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 14 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1000000 100 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 31248 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере ответ равен $$$5$$$, так как $$$5$$$ встретится в $$$path(5)$$$, в $$$path(10)$$$ и в $$$path(11)$$$.</p><p>Во втором примере ответ равен $$$4$$$, так как $$$4$$$ встретится в $$$path(4)$$$, в $$$path(5)$$$, в $$$path(8)$$$, в $$$path(9)$$$, в $$$path(10)$$$ и в $$$path(11)$$$.</p><p>В третьем примере $$$n = k$$$, поэтому ответ равен $$$1$$$, так как $$$1$$$ это единственное число, содержащееся в путях всех чисел от $$$1$$$ до $$$20$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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1271F	1271	F	ru	F. Разделение студентов	<div class="problem-statement"><div class="header"><div class="title">F. Разделение студентов</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>8 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Недавно было очередное зачисление новых студентов в Берляндский государственный университет (БГУ). Все студенты при поступлении попадают в группу в зависимости от факультета и направления. Некоторые группы могут получиться очень большими, и тогда группу делят на две подгруппы, которые посещают занятия отдельно друг от друга. Вам нужно помочь разделить группы студентов, принятых на факультет информационных технологий.</p><p>Всего на факультет поступило $$$t$$$ разных групп. Студенты каждой группы будут посещать занятия по трём дисциплинам — математике, программированию и физкультуре. Все эти занятия проводятся в разных местах — занятия по математике проходят в лекционных аудиториях, по программированию — в компьютерных классах, по физкультуре — в спортзалах.</p><p>Каждую группу необходимо разделить на две подгруппы так, чтобы в каждой подгруппе количество студентов на каждом занятии не превышало вместимость аудитории, класса или спортзала. У первой подгруппы $$$i$$$-й группы занятия по математике проводятся в аудитории, вмещающей не более $$$a_{i, 1}$$$ студентов; по программированию — в классе, вмещающем не более $$$b_{i, 1}$$$ студентов; по физкультуре — в спортзале, вмещающем не более $$$c_{i, 1}$$$ студентов. Аналогично со второй подгруппой — на занятиях по математике, программированию и физкультуре может поместиться не более $$$a_{i, 2}$$$, $$$b_{i, 2}$$$ и $$$c_{i, 2}$$$ студентов, соответственно.</p><p>Как известно, студенты часто пропускают занятия. У каждого студента есть какое-то количество (от $$$0$$$ до $$$3$$$) предметов, которые он считает бесполезными — а значит, не посещает ни одного занятия по этим предметам (а на занятия по остальным предметам он приходит). Эти данные вам были предоставлены в следующем формате — $$$i$$$-я группа состоит из:</p><ol> <li> $$$d_{i, 1}$$$ студентов, посещающих все занятия; </li><li> $$$d_{i, 2}$$$ студентов, посещающих все занятия, кроме физкультуры; </li><li> $$$d_{i, 3}$$$ студентов, посещающих все занятия, кроме программирования; </li><li> $$$d_{i, 4}$$$ студентов, посещающих только математику; </li><li> $$$d_{i, 5}$$$ студентов, посещающих все занятия, кроме математики; </li><li> $$$d_{i, 6}$$$ студентов, посещающих только программирование; </li><li> $$$d_{i, 7}$$$ студентов, посещающих только физкультуру. </li></ol><p>Отметим, что есть и восьмой тип студентов — те, кто не посещает университет вообще. Но так как на места в аудиториях они (по очевидным причинам) не претендуют, данные о количестве таких студентов вас не интересуют.</p><p>Теперь перед вами стоит следующая задача: определить, как разделить каждую группу на две подгруппы таким образом, чтобы в каждой аудитории (или в компьютерном классе, или в спортзале, в зависимости от занятия) хватало места для всех студентов из подгруппы, приходящих на это занятие (если это вообще возможно). Каждый студент из $$$i$$$-й группы должен быть определен ровно в одну подгруппу $$$i$$$-й группы; перемещать студентов между группами запрещено.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$t$$$ ($$$1 \le t \le 300$$$) — количество групп.</p><p>Далее следуют описания групп. Описание $$$i$$$-й группы состоит из трех строк:</p><ul> <li> в первой строке заданы три целых числа $$$a_{i, 1}$$$, $$$b_{i, 1}$$$ и $$$c_{i, 1}$$$ ($$$1 \le a_{i, 1}, b_{i, 1}, c_{i, 1} \le 3000$$$) — вместимость лекционной аудитории, компьютерного класса и спортзала для первой подгруппы $$$i$$$-й группы соответственно; </li><li> во второй строке заданы три целых числа $$$a_{i, 2}$$$, $$$b_{i, 2}$$$ и $$$c_{i, 2}$$$ ($$$1 \le a_{i, 2}, b_{i, 2}, c_{i, 2} \le 3000$$$) — вместимость лекционной аудитории, компьютерного класса и спортзала для второй подгруппы $$$i$$$-й группы соответственно; </li><li> в третьей строке заданы семь целых чисел $$$d_{i, 1}$$$, $$$d_{i, 2}$$$, ..., $$$d_{i, 7}$$$ ($$$0 \le d_{i, j} \le 3000$$$) — количество студентов каждого из описанных в условии семи типов в $$$i$$$-й группе. <span class="tex-font-style-bf">Не гарантируется</span>, что сумма этих чисел будет отличной от нуля — группа вполне может состоять из студентов, не ходящих на занятия вообще. </li></ul><p>Гарантируется, что суммарное количество студентов во всех группах не превосходит $$$3000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для всех групп выведите результат разделения группы в следующем формате:</p><ul> <li> если группу разделить невозможно, выведите одно целое число $$$-1$$$; </li><li> иначе выведите семь целых чисел $$$f_{i, 1}$$$, $$$f_{i, 2}$$$, ..., $$$f_{i, 7}$$$ ($$$0 \le f_{i, j} \le d_{i, j}$$$) — количество студентов каждого типа в первой подгруппе $$$i$$$-й группы (все остальные студенты из группы автоматически определяются во вторую подгруппу). Если ответов несколько, выведите любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 9 4 13 1 10 3 1 2 3 4 5 6 7 9 4 13 1 10 3 2 1 3 4 5 6 7 1 2 3 4 5 6 0 0 0 0 0 0 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 3 4 2 0 7 -1 0 0 0 0 0 0 0 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="70bdb6fa26d580837801cf3e61d8b5f4"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - F - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="4930b912b02c540a7791047b10cf12e89f8f30fa"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - F - Codeforces</title> <meta name="description" content="Codeforces. 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_bf923e71b6f274e771c3e332ab27086d7bdb1117"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Разделение студентов</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>8 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Недавно было очередное зачисление новых студентов в Берляндский государственный университет (БГУ). Все студенты при поступлении попадают в группу в зависимости от факультета и направления. Некоторые группы могут получиться очень большими, и тогда группу делят на две подгруппы, которые посещают занятия отдельно друг от друга. Вам нужно помочь разделить группы студентов, принятых на факультет информационных технологий.</p><p>Всего на факультет поступило $$$t$$$ разных групп. Студенты каждой группы будут посещать занятия по трём дисциплинам — математике, программированию и физкультуре. Все эти занятия проводятся в разных местах — занятия по математике проходят в лекционных аудиториях, по программированию — в компьютерных классах, по физкультуре — в спортзалах.</p><p>Каждую группу необходимо разделить на две подгруппы так, чтобы в каждой подгруппе количество студентов на каждом занятии не превышало вместимость аудитории, класса или спортзала. У первой подгруппы $$$i$$$-й группы занятия по математике проводятся в аудитории, вмещающей не более $$$a_{i, 1}$$$ студентов; по программированию — в классе, вмещающем не более $$$b_{i, 1}$$$ студентов; по физкультуре — в спортзале, вмещающем не более $$$c_{i, 1}$$$ студентов. Аналогично со второй подгруппой — на занятиях по математике, программированию и физкультуре может поместиться не более $$$a_{i, 2}$$$, $$$b_{i, 2}$$$ и $$$c_{i, 2}$$$ студентов, соответственно.</p><p>Как известно, студенты часто пропускают занятия. У каждого студента есть какое-то количество (от $$$0$$$ до $$$3$$$) предметов, которые он считает бесполезными — а значит, не посещает ни одного занятия по этим предметам (а на занятия по остальным предметам он приходит). Эти данные вам были предоставлены в следующем формате — $$$i$$$-я группа состоит из:</p><ol> <li> $$$d_{i, 1}$$$ студентов, посещающих все занятия; </li><li> $$$d_{i, 2}$$$ студентов, посещающих все занятия, кроме физкультуры; </li><li> $$$d_{i, 3}$$$ студентов, посещающих все занятия, кроме программирования; </li><li> $$$d_{i, 4}$$$ студентов, посещающих только математику; </li><li> $$$d_{i, 5}$$$ студентов, посещающих все занятия, кроме математики; </li><li> $$$d_{i, 6}$$$ студентов, посещающих только программирование; </li><li> $$$d_{i, 7}$$$ студентов, посещающих только физкультуру. </li></ol><p>Отметим, что есть и восьмой тип студентов — те, кто не посещает университет вообще. Но так как на места в аудиториях они (по очевидным причинам) не претендуют, данные о количестве таких студентов вас не интересуют.</p><p>Теперь перед вами стоит следующая задача: определить, как разделить каждую группу на две подгруппы таким образом, чтобы в каждой аудитории (или в компьютерном классе, или в спортзале, в зависимости от занятия) хватало места для всех студентов из подгруппы, приходящих на это занятие (если это вообще возможно). Каждый студент из $$$i$$$-й группы должен быть определен ровно в одну подгруппу $$$i$$$-й группы; перемещать студентов между группами запрещено.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$t$$$ ($$$1 \le t \le 300$$$) — количество групп.</p><p>Далее следуют описания групп. Описание $$$i$$$-й группы состоит из трех строк:</p><ul> <li> в первой строке заданы три целых числа $$$a_{i, 1}$$$, $$$b_{i, 1}$$$ и $$$c_{i, 1}$$$ ($$$1 \le a_{i, 1}, b_{i, 1}, c_{i, 1} \le 3000$$$) — вместимость лекционной аудитории, компьютерного класса и спортзала для первой подгруппы $$$i$$$-й группы соответственно; </li><li> во второй строке заданы три целых числа $$$a_{i, 2}$$$, $$$b_{i, 2}$$$ и $$$c_{i, 2}$$$ ($$$1 \le a_{i, 2}, b_{i, 2}, c_{i, 2} \le 3000$$$) — вместимость лекционной аудитории, компьютерного класса и спортзала для второй подгруппы $$$i$$$-й группы соответственно; </li><li> в третьей строке заданы семь целых чисел $$$d_{i, 1}$$$, $$$d_{i, 2}$$$, ..., $$$d_{i, 7}$$$ ($$$0 \le d_{i, j} \le 3000$$$) — количество студентов каждого из описанных в условии семи типов в $$$i$$$-й группе. <span class="tex-font-style-bf">Не гарантируется</span>, что сумма этих чисел будет отличной от нуля — группа вполне может состоять из студентов, не ходящих на занятия вообще. </li></ul><p>Гарантируется, что суммарное количество студентов во всех группах не превосходит $$$3000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для всех групп выведите результат разделения группы в следующем формате:</p><ul> <li> если группу разделить невозможно, выведите одно целое число $$$-1$$$; </li><li> иначе выведите семь целых чисел $$$f_{i, 1}$$$, $$$f_{i, 2}$$$, ..., $$$f_{i, 7}$$$ ($$$0 \le f_{i, j} \le d_{i, j}$$$) — количество студентов каждого типа в первой подгруппе $$$i$$$-й группы (все остальные студенты из группы автоматически определяются во вторую подгруппу). Если ответов несколько, выведите любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 9 4 13 1 10 3 1 2 3 4 5 6 7 9 4 13 1 10 3 2 1 3 4 5 6 7 1 2 3 4 5 6 0 0 0 0 0 0 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 3 4 2 0 7 -1 0 0 0 0 0 0 0 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); 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1272A	1272	A	ru	A. Три друга	<div class="problem-statement"><div class="header"><div class="title">A. Три друга</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Три друга хотят встретиться друг с другом. Изначально первый друг находится в позиции $$$x = a$$$, второй друг находится в позиции $$$x = b$$$, а третий находится в позиции $$$x = c$$$ на координатной оси $$$Ox$$$.</p><p>За одну минуту <span class="tex-font-style-bf">каждый из друзей независимо</span> от других друзей может изменить позицию $$$x$$$ на $$$1$$$ влево или на $$$1$$$ вправо (то есть присвоить $$$x := x - 1$$$ или $$$x := x + 1$$$), или даже не менять ее.</p><p>Введем понятие суммарной попарной дистанции — суммы дистанций между каждой парой друзей. Пусть $$$a'$$$, $$$b'$$$ и $$$c'$$$ — финальные позиции первого, второго и третьего друзей соответственно. Тогда суммарная попарная дистанция равна $$$\|a' - b'\| + \|a' - c'\| + \|b' - c'\|$$$, где $$$\|x\|$$$ — абсолютная величина (модуль) значения $$$x$$$.</p><p>Друзья интересуются, какой минимальной суммарной попарной дистанции они смогут достичь, если они будут двигаться оптимально. <span class="tex-font-style-bf">Каждый из друзей сдвинется не более одного раза</span>. Таким образом, более формально, они хотят знать минимальную суммарную попарную дистанцию, которой они могут достичь спустя одну минуту.</p><p>Вам необходимо ответить на $$$q$$$ независимых наборов входных данных.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$q$$$ ($$$1 \le q \le 1000$$$) — количество наборов входных данных.</p><p>Следующие $$$q$$$ строк описывают наборы входных данных. $$$i$$$-й набор входных данных описывается тремя целыми числами $$$a, b$$$ и $$$c$$$ ($$$1 \le a, b, c \le 10^9$$$) — изначальными позициями первого, второго и третьего друзей, соответственно. Позиции друзей могут совпадать.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ на каждый набор входных данных — минимальную суммарную попарную дистанцию (минимальную сумму дистанций между каждой парой друзей), если друзья изменят их позиции оптимально. <span class="tex-font-style-bf">Каждый из друзей сдвинется не более одного раза</span>. Таким образом, более формально, вам необходимо найти минимальную суммарную попарную дистанцию, которой они могут достичь спустя одну минуту.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 8 3 3 4 10 20 30 5 5 5 2 4 3 1 1000000000 1000000000 1 1000000000 999999999 3 2 5 3 2 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 36 0 0 1999999994 1999999994 2 4 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="7560b6dfcc00e9ec498fc4967192ca48"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - A - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="52207c6e703aae4519851740c43bff1a087868b4"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - A - Codeforces</title> <meta name="description" content="Codeforces. 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сортировки, упорядочения"> сортировки </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 900 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='7560b6dfcc00e9ec498fc4967192ca48'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="494353"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='7560b6dfcc00e9ec498fc4967192ca48'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="494353"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72086" title="Codeforces Round #605 (Div. 3)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11336:11337" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72132" title="Разбор Codeforces Round #605 (Div. 3)" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11334:11335" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1272">Задачи</a></li> <li><a href="/contest/1272/submit">Отослать</a></li> <li><a href="/contest/1272/my">Мои посылки</a></li> <li><a href="/contest/1272/status">Статус</a></li> <li><a href="/contest/1272/hacks">Взломы</a></li> <li><a href="/contest/1272/standings">Положение</a></li> <li><a href="/contest/1272/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_c7c9efc87f12a3c83e5ba7f96878e2109d6c39d9"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Три друга</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Три друга хотят встретиться друг с другом. Изначально первый друг находится в позиции $$$x = a$$$, второй друг находится в позиции $$$x = b$$$, а третий находится в позиции $$$x = c$$$ на координатной оси $$$Ox$$$.</p><p>За одну минуту <span class="tex-font-style-bf">каждый из друзей независимо</span> от других друзей может изменить позицию $$$x$$$ на $$$1$$$ влево или на $$$1$$$ вправо (то есть присвоить $$$x := x - 1$$$ или $$$x := x + 1$$$), или даже не менять ее.</p><p>Введем понятие суммарной попарной дистанции — суммы дистанций между каждой парой друзей. Пусть $$$a'$$$, $$$b'$$$ и $$$c'$$$ — финальные позиции первого, второго и третьего друзей соответственно. Тогда суммарная попарная дистанция равна $$$\|a' - b'\| + \|a' - c'\| + \|b' - c'\|$$$, где $$$\|x\|$$$ — абсолютная величина (модуль) значения $$$x$$$.</p><p>Друзья интересуются, какой минимальной суммарной попарной дистанции они смогут достичь, если они будут двигаться оптимально. <span class="tex-font-style-bf">Каждый из друзей сдвинется не более одного раза</span>. Таким образом, более формально, они хотят знать минимальную суммарную попарную дистанцию, которой они могут достичь спустя одну минуту.</p><p>Вам необходимо ответить на $$$q$$$ независимых наборов входных данных.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$q$$$ ($$$1 \le q \le 1000$$$) — количество наборов входных данных.</p><p>Следующие $$$q$$$ строк описывают наборы входных данных. $$$i$$$-й набор входных данных описывается тремя целыми числами $$$a, b$$$ и $$$c$$$ ($$$1 \le a, b, c \le 10^9$$$) — изначальными позициями первого, второго и третьего друзей, соответственно. Позиции друзей могут совпадать.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ на каждый набор входных данных — минимальную суммарную попарную дистанцию (минимальную сумму дистанций между каждой парой друзей), если друзья изменят их позиции оптимально. <span class="tex-font-style-bf">Каждый из друзей сдвинется не более одного раза</span>. Таким образом, более формально, вам необходимо найти минимальную суммарную попарную дистанцию, которой они могут достичь спустя одну минуту.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 8 3 3 4 10 20 30 5 5 5 2 4 3 1 1000000000 1000000000 1 1000000000 999999999 3 2 5 3 2 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 36 0 0 1999999994 1999999994 2 4 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); 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1272B	1272	B	ru	B. Робот-cнегоход	<div class="problem-statement"><div class="header"><div class="title">B. Робот-cнегоход</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Недавно вы купили робота-снегохода и принесли его домой. Ваш дом — это клетка $$$(0, 0)$$$ на бесконечной координатной сетке.</p><p>Вы также получили последовательность инструкций этого робота. Она записана в виде строки $$$s$$$, состоящей из символов '<span class="tex-font-style-tt">L</span>', '<span class="tex-font-style-tt">R</span>', '<span class="tex-font-style-tt">U</span>' и '<span class="tex-font-style-tt">D</span>'. Если сейчас робот находится в клетке $$$(x, y)$$$, он может передвинуться в одну из смежных клеток (зависит от текущей инструкции).</p><ul> <li> Если текущая инструкция — '<span class="tex-font-style-tt">L</span>', тогда робот может передвинуться влево в $$$(x - 1, y)$$$; </li><li> если текущая инструкция — '<span class="tex-font-style-tt">R</span>', тогда робот может передвинуться вправо в $$$(x + 1, y)$$$; </li><li> если текущая инструкция — '<span class="tex-font-style-tt">U</span>', тогда робот может передвинуться вверх в $$$(x, y + 1)$$$; </li><li> если текущая инструкция — '<span class="tex-font-style-tt">D</span>', тогда робот может передвинуться вниз в $$$(x, y - 1)$$$. </li></ul><p>Вы заметили предупреждение на последней странице руководства: если робот посетит какую-то клетку (<span class="tex-font-style-bf">кроме</span> $$$(0, 0)$$$) дважды, то он сломается.</p><p>Таким образом, последовательность инструкций является корректной, если робот начинает в клетке $$$(0, 0)$$$, выполняет заданные инструкции, не посещает никакую клетку, кроме $$$(0, 0)$$$, два или более раз и заканчивает свой путь в клетке $$$(0, 0)$$$. Также клетка $$$(0, 0)$$$ должна быть посещена <span class="tex-font-style-bf">не более</span> двух раз: в начале и в конце (если путь пустой, то она будет посещена только единожды). Например, следующие последовательности инструкций являются корректными: «<span class="tex-font-style-tt">UD</span>», «<span class="tex-font-style-tt">RL</span>», «<span class="tex-font-style-tt">UUURULLDDDDLDDRRUU</span>», а следующие являются некорректными: «<span class="tex-font-style-tt">U</span>» (конечная клетка не равна $$$(0, 0)$$$) и «<span class="tex-font-style-tt">UUDD</span>» (клетка $$$(0, 1)$$$ посещается дважды).</p><p>Но изначальная последовательность инструкций может быть некорректной. Вы не хотите, чтобы ваш робот сломался, поэтому вы решили перепрограммировать его следующим образом: вы удалите какие-то (возможно, все или никакие) инструкции из изначальной последовательности инструкций, затем поменяете порядок оставшихся инструкций так, как хотите, и включите вашего робота, который начнет движение.</p><p>Ваша задача — удалить минимальное количество инструкций из изначальной последовательности и поменять порядок оставшихся инструкций таким образом, чтобы последовательность стала корректной. Вам необходимо вывести максимальную по длине корректную последовательность инструкций, которую вы можете получить.</p><p>Заметьте, что вам необходимо выбрать <span class="tex-font-style-bf">любой</span> порядок оставшихся инструкций (нет необходимости минимизировать количество обменов или какую-либо другую похожую метрику).</p><p>Вам необходимо ответить на $$$q$$$ независимых наборов входных данных.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$q$$$ ($$$1 \le q \le 2 \cdot 10^4$$$) — количество наборов входных данных.</p><p>Следующие $$$q$$$ строк содержат наборы входных данных. $$$i$$$-й набор входных данных задан строкой $$$s$$$, состоящей из не менее, чем $$$1$$$ и не более, чем $$$10^5$$$ символов '<span class="tex-font-style-tt">L</span>', '<span class="tex-font-style-tt">R</span>', '<span class="tex-font-style-tt">U</span>' и '<span class="tex-font-style-tt">D</span>' — изначальной последовательности инструкций.</p><p>Гарантируется, что сумма $$$\|s\|$$$ (где $$$\|s\|$$$ — длина $$$s$$$) не превосходит $$$10^5$$$ по всем наборам входных данных ($$$\sum \|s\| \le 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ на каждый набор входных данных. В первой строке выведите максимальное количество оставшихся инструкций. Во второй строке выведите корректную последовательность оставшихся инструкций $$$t$$$, которую робот сможет выполнить. Ходы выполняются слева направо в порядке выведенной последовательности. Если существует несколько возможных ответов, выведите любой. Если ответ равен $$$0$$$, вам разрешается вывести пустую строку (но вы можете не выводить ее).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 LRU DURLDRUDRULRDURDDL LRUDDLRUDRUL LLLLRRRR URDUR LLL </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 LR 14 RUURDDDDLLLUUR 12 ULDDDRRRUULL 2 LR 2 UD 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных существует только два правильных ответа: «<span class="tex-font-style-tt">LR</span>» и «<span class="tex-font-style-tt">RL</span>».</p><p>Картинка, соответствующая второму набору входных данных:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/b8d040c328a3c50a5e36b8d6da86a6e5f2b67b52.png" style="max-width: 100.0%;max-height: 100.0%;"/> Заметьте, что направление обхода неважно </center><p>Другим корректным ответом на третий набор входных данных является «<span class="tex-font-style-tt">URDDLLLUURDR</span>».</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="24fdc5f7d0bb05440d13e01b4a119298"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="52207c6e703aae4519851740c43bff1a087868b4"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1200 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='24fdc5f7d0bb05440d13e01b4a119298'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="494354"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='24fdc5f7d0bb05440d13e01b4a119298'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="494354"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72086" title="Codeforces Round #605 (Div. 3)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11336:11337" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72132" title="Разбор Codeforces Round #605 (Div. 3)" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11334:11335" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1272">Задачи</a></li> <li><a href="/contest/1272/submit">Отослать</a></li> <li><a href="/contest/1272/my">Мои посылки</a></li> <li><a href="/contest/1272/status">Статус</a></li> <li><a href="/contest/1272/hacks">Взломы</a></li> <li><a href="/contest/1272/standings">Положение</a></li> <li><a href="/contest/1272/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_5c80f17e0d706902c4de66acb6f197795c6cc0c7"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Робот-cнегоход</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Недавно вы купили робота-снегохода и принесли его домой. Ваш дом — это клетка $$$(0, 0)$$$ на бесконечной координатной сетке.</p><p>Вы также получили последовательность инструкций этого робота. Она записана в виде строки $$$s$$$, состоящей из символов '<span class="tex-font-style-tt">L</span>', '<span class="tex-font-style-tt">R</span>', '<span class="tex-font-style-tt">U</span>' и '<span class="tex-font-style-tt">D</span>'. Если сейчас робот находится в клетке $$$(x, y)$$$, он может передвинуться в одну из смежных клеток (зависит от текущей инструкции).</p><ul> <li> Если текущая инструкция — '<span class="tex-font-style-tt">L</span>', тогда робот может передвинуться влево в $$$(x - 1, y)$$$; </li><li> если текущая инструкция — '<span class="tex-font-style-tt">R</span>', тогда робот может передвинуться вправо в $$$(x + 1, y)$$$; </li><li> если текущая инструкция — '<span class="tex-font-style-tt">U</span>', тогда робот может передвинуться вверх в $$$(x, y + 1)$$$; </li><li> если текущая инструкция — '<span class="tex-font-style-tt">D</span>', тогда робот может передвинуться вниз в $$$(x, y - 1)$$$. </li></ul><p>Вы заметили предупреждение на последней странице руководства: если робот посетит какую-то клетку (<span class="tex-font-style-bf">кроме</span> $$$(0, 0)$$$) дважды, то он сломается.</p><p>Таким образом, последовательность инструкций является корректной, если робот начинает в клетке $$$(0, 0)$$$, выполняет заданные инструкции, не посещает никакую клетку, кроме $$$(0, 0)$$$, два или более раз и заканчивает свой путь в клетке $$$(0, 0)$$$. Также клетка $$$(0, 0)$$$ должна быть посещена <span class="tex-font-style-bf">не более</span> двух раз: в начале и в конце (если путь пустой, то она будет посещена только единожды). Например, следующие последовательности инструкций являются корректными: «<span class="tex-font-style-tt">UD</span>», «<span class="tex-font-style-tt">RL</span>», «<span class="tex-font-style-tt">UUURULLDDDDLDDRRUU</span>», а следующие являются некорректными: «<span class="tex-font-style-tt">U</span>» (конечная клетка не равна $$$(0, 0)$$$) и «<span class="tex-font-style-tt">UUDD</span>» (клетка $$$(0, 1)$$$ посещается дважды).</p><p>Но изначальная последовательность инструкций может быть некорректной. Вы не хотите, чтобы ваш робот сломался, поэтому вы решили перепрограммировать его следующим образом: вы удалите какие-то (возможно, все или никакие) инструкции из изначальной последовательности инструкций, затем поменяете порядок оставшихся инструкций так, как хотите, и включите вашего робота, который начнет движение.</p><p>Ваша задача — удалить минимальное количество инструкций из изначальной последовательности и поменять порядок оставшихся инструкций таким образом, чтобы последовательность стала корректной. Вам необходимо вывести максимальную по длине корректную последовательность инструкций, которую вы можете получить.</p><p>Заметьте, что вам необходимо выбрать <span class="tex-font-style-bf">любой</span> порядок оставшихся инструкций (нет необходимости минимизировать количество обменов или какую-либо другую похожую метрику).</p><p>Вам необходимо ответить на $$$q$$$ независимых наборов входных данных.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$q$$$ ($$$1 \le q \le 2 \cdot 10^4$$$) — количество наборов входных данных.</p><p>Следующие $$$q$$$ строк содержат наборы входных данных. $$$i$$$-й набор входных данных задан строкой $$$s$$$, состоящей из не менее, чем $$$1$$$ и не более, чем $$$10^5$$$ символов '<span class="tex-font-style-tt">L</span>', '<span class="tex-font-style-tt">R</span>', '<span class="tex-font-style-tt">U</span>' и '<span class="tex-font-style-tt">D</span>' — изначальной последовательности инструкций.</p><p>Гарантируется, что сумма $$$\|s\|$$$ (где $$$\|s\|$$$ — длина $$$s$$$) не превосходит $$$10^5$$$ по всем наборам входных данных ($$$\sum \|s\| \le 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ на каждый набор входных данных. В первой строке выведите максимальное количество оставшихся инструкций. Во второй строке выведите корректную последовательность оставшихся инструкций $$$t$$$, которую робот сможет выполнить. Ходы выполняются слева направо в порядке выведенной последовательности. Если существует несколько возможных ответов, выведите любой. Если ответ равен $$$0$$$, вам разрешается вывести пустую строку (но вы можете не выводить ее).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 LRU DURLDRUDRULRDURDDL LRUDDLRUDRUL LLLLRRRR URDUR LLL </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 LR 14 RUURDDDDLLLUUR 12 ULDDDRRRUULL 2 LR 2 UD 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных существует только два правильных ответа: «<span class="tex-font-style-tt">LR</span>» и «<span class="tex-font-style-tt">RL</span>».</p><p>Картинка, соответствующая второму набору входных данных:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/b8d040c328a3c50a5e36b8d6da86a6e5f2b67b52.png" style="max-width: 100.0%;max-height: 100.0%;" /> Заметьте, что направление обхода неважно </center><p>Другим корректным ответом на третий набор входных данных является «<span class="tex-font-style-tt">URDDLLLUURDR</span>».</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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1272C	1272	C	ru	C. Очередная сломанная клавиатура	<div class="problem-statement"><div class="header"><div class="title">C. Очередная сломанная клавиатура</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Недавно Norge нашел строку $$$s = s_1 s_2 \ldots s_n$$$, состоящую из $$$n$$$ строчных букв латинского алфавита. В качестве упражнения для улучшения скорости печатания он решил напечатать все подстроки $$$s$$$. Да, все $$$\frac{n (n + 1)}{2}$$$ из них!</p><p>Подстрокой строки $$$s$$$ называется непустая строка $$$x = s[a \ldots b] = s_{a} s_{a + 1} \ldots s_{b}$$$ ($$$1 \leq a \leq b \leq n$$$). Например, «<span class="tex-font-style-tt">auto</span>» и «<span class="tex-font-style-tt">ton</span>» являются подстроками «<span class="tex-font-style-tt">automaton</span>».</p><p>Незадолго до начала упражнения Norge осознал, что его клавиатура сломана, а если говорить более точно, он может использовать только $$$k$$$ латинских букв $$$c_1, c_2, \ldots, c_k$$$ из $$$26$$$.</p><p>После этого Norge стало интересно, как много подстрок строки $$$s$$$ он сможет написать, используя свою сломанную клавиатуру. Помогите ему найти это число.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит два целых числа $$$n$$$ и $$$k$$$ ($$$1 \leq n \leq 2 \cdot 10^5$$$, $$$1 \leq k \leq 26$$$) — длину строки $$$s$$$ и количество латинских букв, доступных на клавиатуре.</p><p>Вторая строка входных данных содержит строку $$$s$$$, состоящую ровно из $$$n$$$ строчных букв латинского алфавита.</p><p>Третья строка содержит $$$k$$$ различных строчных букв латинского алфавита $$$c_1, c_2, \ldots, c_k$$$ — буквы, доступные на клавиатуре.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество подстрок $$$s$$$, которые можно написать, используя только доступные буквы $$$c_1, c_2, \ldots, c_k$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 7 2 abacaba a b </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 12 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 3 sadfaasdda f a d </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 21 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 aaaaaaa b </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере Norge может напечатать подстроки $$$s[1\ldots2]$$$, $$$s[2\ldots3]$$$, $$$s[1\ldots3]$$$, $$$s[1\ldots1]$$$, $$$s[2\ldots2]$$$, $$$s[3\ldots3]$$$, $$$s[5\ldots6]$$$, $$$s[6\ldots7]$$$, $$$s[5\ldots7]$$$, $$$s[5\ldots5]$$$, $$$s[6\ldots6]$$$, $$$s[7\ldots7]$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="b69bc487cb572d3972664d37c334a265"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - C - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="52207c6e703aae4519851740c43bff1a087868b4"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - C - Codeforces</title> <meta name="description" content="Codeforces. 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Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1272/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1200 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='b69bc487cb572d3972664d37c334a265'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="494355"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='b69bc487cb572d3972664d37c334a265'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="494355"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72086" title="Codeforces Round #605 (Div. 3)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11336:11337" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72132" title="Разбор Codeforces Round #605 (Div. 3)" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11334:11335" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1272">Задачи</a></li> <li><a href="/contest/1272/submit">Отослать</a></li> <li><a href="/contest/1272/my">Мои посылки</a></li> <li><a href="/contest/1272/status">Статус</a></li> <li><a href="/contest/1272/hacks">Взломы</a></li> <li><a href="/contest/1272/standings">Положение</a></li> <li><a href="/contest/1272/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_f5ea344c48eef5d6f283ceddc09f5ca5ba2a5f84"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Очередная сломанная клавиатура</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Недавно Norge нашел строку $$$s = s_1 s_2 \ldots s_n$$$, состоящую из $$$n$$$ строчных букв латинского алфавита. В качестве упражнения для улучшения скорости печатания он решил напечатать все подстроки $$$s$$$. Да, все $$$\frac{n (n + 1)}{2}$$$ из них!</p><p>Подстрокой строки $$$s$$$ называется непустая строка $$$x = s[a \ldots b] = s_{a} s_{a + 1} \ldots s_{b}$$$ ($$$1 \leq a \leq b \leq n$$$). Например, «<span class="tex-font-style-tt">auto</span>» и «<span class="tex-font-style-tt">ton</span>» являются подстроками «<span class="tex-font-style-tt">automaton</span>».</p><p>Незадолго до начала упражнения Norge осознал, что его клавиатура сломана, а если говорить более точно, он может использовать только $$$k$$$ латинских букв $$$c_1, c_2, \ldots, c_k$$$ из $$$26$$$.</p><p>После этого Norge стало интересно, как много подстрок строки $$$s$$$ он сможет написать, используя свою сломанную клавиатуру. Помогите ему найти это число.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит два целых числа $$$n$$$ и $$$k$$$ ($$$1 \leq n \leq 2 \cdot 10^5$$$, $$$1 \leq k \leq 26$$$) — длину строки $$$s$$$ и количество латинских букв, доступных на клавиатуре.</p><p>Вторая строка входных данных содержит строку $$$s$$$, состоящую ровно из $$$n$$$ строчных букв латинского алфавита.</p><p>Третья строка содержит $$$k$$$ различных строчных букв латинского алфавита $$$c_1, c_2, \ldots, c_k$$$ — буквы, доступные на клавиатуре.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество подстрок $$$s$$$, которые можно написать, используя только доступные буквы $$$c_1, c_2, \ldots, c_k$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 7 2 abacaba a b </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 12 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 3 sadfaasdda f a d </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 21 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 aaaaaaa b </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере Norge может напечатать подстроки $$$s[1\ldots2]$$$, $$$s[2\ldots3]$$$, $$$s[1\ldots3]$$$, $$$s[1\ldots1]$$$, $$$s[2\ldots2]$$$, $$$s[3\ldots3]$$$, $$$s[5\ldots6]$$$, $$$s[6\ldots7]$$$, $$$s[5\ldots7]$$$, $$$s[5\ldots5]$$$, $$$s[6\ldots6]$$$, $$$s[7\ldots7]$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); 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1272D	1272	D	ru	D. Удалите один элемент	<div class="problem-statement"><div class="header"><div class="title">D. Удалите один элемент</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задан массив $$$a$$$, состоящий из $$$n$$$ целых чисел.</p><p>Вы можете удалить <span class="tex-font-style-bf">не более одного</span> элемента из этого массива. Таким образом, после этой операции длина массива равна либо $$$n-1$$$, либо $$$n$$$.</p><p>Ваша задача — посчитать максимально возможную длину <span class="tex-font-style-bf">строго возрастающего</span> последовательного подмассива получившегося массива.</p><p>Напомним, что последовательным подмассивом $$$a$$$ с индексами от $$$l$$$ до $$$r$$$ называется $$$a[l \dots r] = a_l, a_{l + 1}, \dots, a_r$$$. Массив $$$a[l \dots r]$$$ называется строго возрастающим, если $$$a_l < a_{l+1} < \dots < a_r$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$n$$$ ($$$2 \le n \le 2 \cdot 10^5$$$) — количество элементов в $$$a$$$.</p><p>Вторая строка входных данных содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$), где $$$a_i$$$ равно $$$i$$$-му элементу $$$a$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — максимально возможную длину <span class="tex-font-style-bf">строго возрастающего</span> последовательного подмассива массива $$$a$$$ после удаления не более одного элемента.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 5 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 6 5 4 3 2 4 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере можно удалить $$$a_3=5$$$. Тогда получившийся массив будет равен $$$[1, 2, 3, 4]$$$ и длина его наибольшего возрастающего подмассива будет равна $$$4$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="e8ec6640af546382c48f4854f2892b6c"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="52207c6e703aae4519851740c43bff1a087868b4"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72086" title="Codeforces Round #605 (Div. 3)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11336:11337" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72132" title="Разбор Codeforces Round #605 (Div. 3)" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11334:11335" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1272">Задачи</a></li> <li><a href="/contest/1272/submit">Отослать</a></li> <li><a href="/contest/1272/my">Мои посылки</a></li> <li><a href="/contest/1272/status">Статус</a></li> <li><a href="/contest/1272/hacks">Взломы</a></li> <li><a href="/contest/1272/standings">Положение</a></li> <li><a href="/contest/1272/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_0f49e88951198473c5691721d7b0d5d82769168e"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Удалите один элемент</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задан массив $$$a$$$, состоящий из $$$n$$$ целых чисел.</p><p>Вы можете удалить <span class="tex-font-style-bf">не более одного</span> элемента из этого массива. Таким образом, после этой операции длина массива равна либо $$$n-1$$$, либо $$$n$$$.</p><p>Ваша задача — посчитать максимально возможную длину <span class="tex-font-style-bf">строго возрастающего</span> последовательного подмассива получившегося массива.</p><p>Напомним, что последовательным подмассивом $$$a$$$ с индексами от $$$l$$$ до $$$r$$$ называется $$$a[l \dots r] = a_l, a_{l + 1}, \dots, a_r$$$. Массив $$$a[l \dots r]$$$ называется строго возрастающим, если $$$a_l < a_{l+1} < \dots < a_r$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$n$$$ ($$$2 \le n \le 2 \cdot 10^5$$$) — количество элементов в $$$a$$$.</p><p>Вторая строка входных данных содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$), где $$$a_i$$$ равно $$$i$$$-му элементу $$$a$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — максимально возможную длину <span class="tex-font-style-bf">строго возрастающего</span> последовательного подмассива массива $$$a$$$ после удаления не более одного элемента.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 5 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 6 5 4 3 2 4 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере можно удалить $$$a_3=5$$$. Тогда получившийся массив будет равен $$$[1, 2, 3, 4]$$$ и длина его наибольшего возрастающего подмассива будет равна $$$4$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); 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1272E	1272	E	ru	E. Ближайшая противоположная четность	<div class="problem-statement"><div class="header"><div class="title">E. Ближайшая противоположная четность</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задан массив $$$a$$$, состоящий из $$$n$$$ целых чисел. За один ход вы можете прыгнуть с позиции $$$i$$$ в позицию $$$i - a_i$$$ (если $$$1 \le i - a_i$$$) или в позицию $$$i + a_i$$$ (если $$$i + a_i \le n$$$).</p><p>Для каждой позиции $$$i$$$ от $$$1$$$ до $$$n$$$ вы хотите узнать минимальное количество ходов, необходимое, чтобы достичь любой позиции $$$j$$$ такой, что $$$a_j$$$ имеет четность, отличающуюся от четности $$$a_i$$$ (то есть если $$$a_i$$$ нечетно, то $$$a_j$$$ должно быть четным и наоборот).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — количество элементов в $$$a$$$.</p><p>Вторая строка входных данных содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le n$$$), где $$$a_i$$$ равно $$$i$$$-му элементу $$$a$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел $$$d_1, d_2, \dots, d_n$$$, где $$$d_i$$$ равно минимальному количеству ходов, необходимому, чтобы достичь любой позиции $$$j$$$ такой, что $$$a_j$$$ имеет четность, отличающуюся от четности $$$a_i$$$ (то есть если $$$a_i$$$ нечетно, то $$$a_j$$$ должно быть четным и наоборот) или же <span class="tex-font-style-tt">-1</span>, если такой позиции достичь невозможно.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 10 4 5 7 6 7 5 4 4 6 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 1 2 -1 1 1 3 1 1 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="6333ba152e31878e297c3ba6ccb05e87"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="52207c6e703aae4519851740c43bff1a087868b4"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1900 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='6333ba152e31878e297c3ba6ccb05e87'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="494357"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='6333ba152e31878e297c3ba6ccb05e87'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="494357"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72086" title="Codeforces Round #605 (Div. 3)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11336:11337" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72132" title="Разбор Codeforces Round #605 (Div. 3)" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11334:11335" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1272">Задачи</a></li> <li><a href="/contest/1272/submit">Отослать</a></li> <li><a href="/contest/1272/my">Мои посылки</a></li> <li><a href="/contest/1272/status">Статус</a></li> <li><a href="/contest/1272/hacks">Взломы</a></li> <li><a href="/contest/1272/standings">Положение</a></li> <li><a href="/contest/1272/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_160633ac81633ba6e58d1538811b6ef4c93e68ef"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Ближайшая противоположная четность</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задан массив $$$a$$$, состоящий из $$$n$$$ целых чисел. За один ход вы можете прыгнуть с позиции $$$i$$$ в позицию $$$i - a_i$$$ (если $$$1 \le i - a_i$$$) или в позицию $$$i + a_i$$$ (если $$$i + a_i \le n$$$).</p><p>Для каждой позиции $$$i$$$ от $$$1$$$ до $$$n$$$ вы хотите узнать минимальное количество ходов, необходимое, чтобы достичь любой позиции $$$j$$$ такой, что $$$a_j$$$ имеет четность, отличающуюся от четности $$$a_i$$$ (то есть если $$$a_i$$$ нечетно, то $$$a_j$$$ должно быть четным и наоборот).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — количество элементов в $$$a$$$.</p><p>Вторая строка входных данных содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le n$$$), где $$$a_i$$$ равно $$$i$$$-му элементу $$$a$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел $$$d_1, d_2, \dots, d_n$$$, где $$$d_i$$$ равно минимальному количеству ходов, необходимому, чтобы достичь любой позиции $$$j$$$ такой, что $$$a_j$$$ имеет четность, отличающуюся от четности $$$a_i$$$ (то есть если $$$a_i$$$ нечетно, то $$$a_j$$$ должно быть четным и наоборот) или же <span class="tex-font-style-tt">-1</span>, если такой позиции достичь невозможно.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 10 4 5 7 6 7 5 4 4 6 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 1 2 -1 1 1 3 1 1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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1272F	1272	F	ru	F. Две скобочные последовательности	<div class="problem-statement"><div class="header"><div class="title">F. Две скобочные последовательности</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задано две скобочные последовательности (не обязательно правильные) $$$s$$$ и $$$t$$$, состоящие только из символов '<span class="tex-font-style-tt">(</span>' и '<span class="tex-font-style-tt">)</span>'. Вы хотите построить кратчайшую <span class="tex-font-style-bf">правильную</span> скобочную последовательность, которая содержит обе заданные скобочные последовательности в качестве <span class="tex-font-style-bf">подпоследовательностей</span> (не обязательно подряд идущих).</p><p>Напомним, что такое правильная скобочная последовательность:</p><ul> <li> <span class="tex-font-style-tt">()</span> является правильной скобочной последовательностью; </li><li> если $$$S$$$ является правильной скобочной последовательностью, то <span class="tex-font-style-tt">($$$S$$$)</span> является правильной скобочной последовательностью; </li><li> если $$$S$$$ и $$$T$$$ являются правильными скобочными последовательностями, то $$$ST$$$ (конкатенация $$$S$$$ и $$$T$$$) тоже является правильной скобочной последовательностью. </li></ul><p>Напомним, что подпоследовательностью строки $$$s$$$ называется такая строка $$$t$$$, которая получается из $$$s$$$ при помощи удаления некоторого (возможно, нулевого) количества символов. Например, «<span class="tex-font-style-tt">coder</span>», «<span class="tex-font-style-tt">force</span>», «<span class="tex-font-style-tt">cf</span>» и «<span class="tex-font-style-tt">cores</span>» являются подпоследовательностями «<span class="tex-font-style-tt">codeforces</span>», а «<span class="tex-font-style-tt">fed</span>» и «<span class="tex-font-style-tt">z</span>» — нет.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одну скобочную последовательность $$$s$$$, состоящую из не более $$$200$$$ символов '<span class="tex-font-style-tt">(</span>' и '<span class="tex-font-style-tt">)</span>'.</p><p>Вторая строка входных данных содержит одну скобочную последовательность $$$t$$$, состоящую из не более $$$200$$$ символов '<span class="tex-font-style-tt">(</span>' и '<span class="tex-font-style-tt">)</span>'.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одну строку — кратчайшую <span class="tex-font-style-bf">правильную</span> скобочную последовательность, которая содержит обе заданные скобочные последовательности как <span class="tex-font-style-bf">подпоследовательности</span> (не обязательно подряд идущие). Если существует несколько возможных ответов, выведите любой.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> (())(() ()))() </pre></div><div class="output"><div class="title">Выходные данные</div><pre> (())()() </pre></div><div class="input"><div class="title">Входные данные</div><pre> ) (( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> (()) </pre></div><div class="input"><div class="title">Входные данные</div><pre> ) ))) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> ((())) </pre></div><div class="input"><div class="title">Входные данные</div><pre> ()) (()(()(()( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> (()()()(()())) </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="449516c2a750209821ce47943d409d1b"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - F - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="52207c6e703aae4519851740c43bff1a087868b4"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - F - Codeforces</title> <meta name="description" content="Codeforces. 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params[key] = value; } }); $.post(dataPageUrl, params, function (result) { if (result["success"] !== "true") { Codeforces.showMessage("Не удалось сохранить состояние блока."); } }, "json"); return false; }); }) </script> </div> <div class="roundbox sidebox borderTopRound " style=""> <div class="caption titled">→ Теги задачи <div class="top-links"> </div> </div> <div style="padding: 0.5em;"> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Два указателя"> два указателя </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Динамическое программирование"> дп </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Префикс- и Z-функции, суффиксные структуры, алгоритм Кнута-Морриса-Пратта и др."> строки </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 2200 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='449516c2a750209821ce47943d409d1b'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="494358"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='449516c2a750209821ce47943d409d1b'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="494358"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72086" title="Codeforces Round #605 (Div. 3)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11336:11337" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72132" title="Разбор Codeforces Round #605 (Div. 3)" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11334:11335" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1272">Задачи</a></li> <li><a href="/contest/1272/submit">Отослать</a></li> <li><a href="/contest/1272/my">Мои посылки</a></li> <li><a href="/contest/1272/status">Статус</a></li> <li><a href="/contest/1272/hacks">Взломы</a></li> <li><a href="/contest/1272/standings">Положение</a></li> <li><a href="/contest/1272/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_b9fb3d4754ae73d3b9d86a9667eab1bd53d79057"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Две скобочные последовательности</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задано две скобочные последовательности (не обязательно правильные) $$$s$$$ и $$$t$$$, состоящие только из символов '<span class="tex-font-style-tt">(</span>' и '<span class="tex-font-style-tt">)</span>'. Вы хотите построить кратчайшую <span class="tex-font-style-bf">правильную</span> скобочную последовательность, которая содержит обе заданные скобочные последовательности в качестве <span class="tex-font-style-bf">подпоследовательностей</span> (не обязательно подряд идущих).</p><p>Напомним, что такое правильная скобочная последовательность:</p><ul> <li> <span class="tex-font-style-tt">()</span> является правильной скобочной последовательностью; </li><li> если $$$S$$$ является правильной скобочной последовательностью, то <span class="tex-font-style-tt">($$$S$$$)</span> является правильной скобочной последовательностью; </li><li> если $$$S$$$ и $$$T$$$ являются правильными скобочными последовательностями, то $$$ST$$$ (конкатенация $$$S$$$ и $$$T$$$) тоже является правильной скобочной последовательностью. </li></ul><p>Напомним, что подпоследовательностью строки $$$s$$$ называется такая строка $$$t$$$, которая получается из $$$s$$$ при помощи удаления некоторого (возможно, нулевого) количества символов. Например, «<span class="tex-font-style-tt">coder</span>», «<span class="tex-font-style-tt">force</span>», «<span class="tex-font-style-tt">cf</span>» и «<span class="tex-font-style-tt">cores</span>» являются подпоследовательностями «<span class="tex-font-style-tt">codeforces</span>», а «<span class="tex-font-style-tt">fed</span>» и «<span class="tex-font-style-tt">z</span>» — нет.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одну скобочную последовательность $$$s$$$, состоящую из не более $$$200$$$ символов '<span class="tex-font-style-tt">(</span>' и '<span class="tex-font-style-tt">)</span>'.</p><p>Вторая строка входных данных содержит одну скобочную последовательность $$$t$$$, состоящую из не более $$$200$$$ символов '<span class="tex-font-style-tt">(</span>' и '<span class="tex-font-style-tt">)</span>'.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одну строку — кратчайшую <span class="tex-font-style-bf">правильную</span> скобочную последовательность, которая содержит обе заданные скобочные последовательности как <span class="tex-font-style-bf">подпоследовательности</span> (не обязательно подряд идущие). Если существует несколько возможных ответов, выведите любой.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> (())(() ()))() </pre></div><div class="output"><div class="title">Выходные данные</div><pre> (())()() </pre></div><div class="input"><div class="title">Входные данные</div><pre> ) (( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> (()) </pre></div><div class="input"><div class="title">Входные данные</div><pre> ) ))) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> ((())) </pre></div><div class="input"><div class="title">Входные данные</div><pre> ()) (()(()(()( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> (()()()(()())) </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); 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1276A	1276	A	ru	A. Просто как one и two	<div class="problem-statement"><div class="header"><div class="title">A. Просто как one и two</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Задана непустая строка $$$s=s_1s_2\dots s_n$$$, которая состоит исключительно из строчных букв латинского алфавита. Строка не нравится Поликарпу, если содержит в качестве <span class="tex-font-style-bf">подстроки</span> строки хотя бы одну строку «<span class="tex-font-style-tt">one</span>» или хотя бы одну строку «<span class="tex-font-style-tt">two</span>» (или их обе одновременно). Иными словами, строка $$$s$$$ не нравится Поликарпу, если существует такое целое $$$j$$$ ($$$1 \le j \le n-2$$$), что $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">one</span>» или $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">two</span>».</p><p>Например:</p><ul> <li> «<span class="tex-font-style-tt">oneee</span>», «<span class="tex-font-style-tt">ontwow</span>», «<span class="tex-font-style-tt">twone</span>» и «<span class="tex-font-style-tt">oneonetwo</span>» — не нравятся Поликарпу (в них есть хотя бы одна подстрока «<span class="tex-font-style-tt">one</span>» или «<span class="tex-font-style-tt">two</span>»); </li><li> «<span class="tex-font-style-tt">oonnee</span>», «<span class="tex-font-style-tt">twwwo</span>» и «<span class="tex-font-style-tt">twnoe</span>» — нравятся Поликарпу (в них нет подстрок «<span class="tex-font-style-tt">one</span>» и «<span class="tex-font-style-tt">two</span>»). </li></ul><p>Поликарп хочет выбрать некоторый набор индексов (позиций) и удалить все буквы на этих позициях. Процесс удаления букв происходит одновременно.</p><p>Например, если строка имела вид $$$s=$$$«<span class="tex-font-style-tt">onetwone</span>», то если Поликарп выберет два индекса $$$3$$$ и $$$6$$$, то будут выбраны «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>» и в результате получится «<span class="tex-font-style-tt">ontwne</span>».</p><p>Какое минимальное количество индексов (позиций) надо выбрать Поликарпу, чтобы строка перестала ему не нравиться? Какие это должны быть позиции?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее заданы сами наборы входных данных.</p><p>Каждый набор входных данных состоит из одной непустой строки, содержащей $$$s$$$. Ее длина не превосходит $$$1.5\cdot10^5$$$. Строка $$$s$$$ состоит исключительно из строчных букв латинского алфавита.</p><p>Гарантируется, что сумма длин всех строк по всем наборам входных данных в тесте не превосходит $$$1.5\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого набора входных данных выведите ответ.</p><p>Первая строка ответа должна содержать $$$r$$$ ($$$0 \le r \le \|s\|$$$) — искомое минимальное количество позиций, где $$$\|s\|$$$ — длина заданной строки. Вторая строка ответа должна содержать $$$r$$$ различных целых чисел от — сами индексы для удаления в произвольном порядке. Индексы нумеруются слева направо в от $$$1$$$ до длины строки. Если $$$r=0$$$, то вторую строку можно не выводить (а можно вывести пустой). Если ответов несколько, то выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 onetwone testme oneoneone twotwo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 6 3 0 3 4 1 7 2 1 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 onetwonetwooneooonetwooo two one twooooo ttttwo ttwwoo ooone onnne oneeeee oneeeeeeetwooooo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 18 11 12 1 6 21 1 1 1 3 1 2 1 6 0 1 4 0 1 1 2 1 11 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере ответы равны:</p><ul> <li> «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt">testme</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>». </li></ul><p>Во втором примере ответы равны: </p><ul> <li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>»; </li><li> «<span class="tex-font-style-tt">tttt<span class="tex-font-style-underline"><span class="tex-font-style-bf">w</span></span>o</span>»; </li><li> «<span class="tex-font-style-tt">ttwwoo</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt">ooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e</span>»; </li><li> «<span class="tex-font-style-tt">onnne</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeee</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeeeee<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>». </li></ul></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="7158889d2fd709d7adb401389a5f1aa5"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1276/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72120" title="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" target="_blank">Анонс <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10054" resourceName="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10086:10087" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1276">Задачи</a></li> <li><a href="/contest/1276/submit">Отослать</a></li> <li><a href="/contest/1276/my">Мои посылки</a></li> <li><a href="/contest/1276/status">Статус</a></li> <li><a href="/contest/1276/hacks">Взломы</a></li> <li><a href="/contest/1276/room/1">Комната</a></li> <li><a href="/contest/1276/standings">Положение</a></li> <li><a href="/contest/1276/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_541e10471ecace739706f4bf4ecb65c6e8c0c2d1"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Просто как one и two</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Задана непустая строка $$$s=s_1s_2\dots s_n$$$, которая состоит исключительно из строчных букв латинского алфавита. Строка не нравится Поликарпу, если содержит в качестве <span class="tex-font-style-bf">подстроки</span> строки хотя бы одну строку «<span class="tex-font-style-tt">one</span>» или хотя бы одну строку «<span class="tex-font-style-tt">two</span>» (или их обе одновременно). Иными словами, строка $$$s$$$ не нравится Поликарпу, если существует такое целое $$$j$$$ ($$$1 \le j \le n-2$$$), что $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">one</span>» или $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">two</span>».</p><p>Например:</p><ul> <li> «<span class="tex-font-style-tt">oneee</span>», «<span class="tex-font-style-tt">ontwow</span>», «<span class="tex-font-style-tt">twone</span>» и «<span class="tex-font-style-tt">oneonetwo</span>» — не нравятся Поликарпу (в них есть хотя бы одна подстрока «<span class="tex-font-style-tt">one</span>» или «<span class="tex-font-style-tt">two</span>»); </li><li> «<span class="tex-font-style-tt">oonnee</span>», «<span class="tex-font-style-tt">twwwo</span>» и «<span class="tex-font-style-tt">twnoe</span>» — нравятся Поликарпу (в них нет подстрок «<span class="tex-font-style-tt">one</span>» и «<span class="tex-font-style-tt">two</span>»). </li></ul><p>Поликарп хочет выбрать некоторый набор индексов (позиций) и удалить все буквы на этих позициях. Процесс удаления букв происходит одновременно.</p><p>Например, если строка имела вид $$$s=$$$«<span class="tex-font-style-tt">onetwone</span>», то если Поликарп выберет два индекса $$$3$$$ и $$$6$$$, то будут выбраны «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>» и в результате получится «<span class="tex-font-style-tt">ontwne</span>».</p><p>Какое минимальное количество индексов (позиций) надо выбрать Поликарпу, чтобы строка перестала ему не нравиться? Какие это должны быть позиции?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее заданы сами наборы входных данных.</p><p>Каждый набор входных данных состоит из одной непустой строки, содержащей $$$s$$$. Ее длина не превосходит $$$1.5\cdot10^5$$$. Строка $$$s$$$ состоит исключительно из строчных букв латинского алфавита.</p><p>Гарантируется, что сумма длин всех строк по всем наборам входных данных в тесте не превосходит $$$1.5\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого набора входных данных выведите ответ.</p><p>Первая строка ответа должна содержать $$$r$$$ ($$$0 \le r \le \|s\|$$$) — искомое минимальное количество позиций, где $$$\|s\|$$$ — длина заданной строки. Вторая строка ответа должна содержать $$$r$$$ различных целых чисел от — сами индексы для удаления в произвольном порядке. Индексы нумеруются слева направо в от $$$1$$$ до длины строки. Если $$$r=0$$$, то вторую строку можно не выводить (а можно вывести пустой). Если ответов несколько, то выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 onetwone testme oneoneone twotwo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 6 3 0 3 4 1 7 2 1 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 onetwonetwooneooonetwooo two one twooooo ttttwo ttwwoo ooone onnne oneeeee oneeeeeeetwooooo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 18 11 12 1 6 21 1 1 1 3 1 2 1 6 0 1 4 0 1 1 2 1 11 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере ответы равны:</p><ul> <li> «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt">testme</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>». </li></ul><p>Во втором примере ответы равны: </p><ul> <li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>»; </li><li> «<span class="tex-font-style-tt">tttt<span class="tex-font-style-underline"><span class="tex-font-style-bf">w</span></span>o</span>»; </li><li> «<span class="tex-font-style-tt">ttwwoo</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt">ooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e</span>»; </li><li> «<span class="tex-font-style-tt">onnne</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeee</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeeeee<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>». </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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1276B	1276	B	ru	B. Две ярмарки	<div class="problem-statement"><div class="header"><div class="title">B. Две ярмарки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>В Берляндии $$$n$$$ городов, некоторые пары из которых соединены двусторонними дорогами. Гарантируется, что из любого города можно доехать в любой другой, двигаясь по дорогам. Города пронумерованы от $$$1$$$ до $$$n$$$.</p><p>В настоящий момент в Берляндии проходят две ярмарки — они проходят в двух различных городах $$$a$$$ и $$$b$$$ ($$$1 \le a, b \le n$$$; $$$a \ne b$$$).</p><p>Найдите количество таких пар городов $$$x$$$ и $$$y$$$ ($$$x \ne a, x \ne b, y \ne a, y \ne b$$$), что двигаясь из $$$x$$$ в $$$y$$$ обязательно придётся проехать через обе ярмарки (порядок их посещения не важен). Формально, надо найти количество таких пар городов $$$x,y$$$, что любой путь из $$$x$$$ в $$$y$$$ проходит и через $$$a$$$ и через $$$b$$$ (в любом порядке).</p><p>Выведите искомое количество пар. Порядок двух городов в паре не имеет значение, то есть пары $$$(x,y)$$$ и $$$(y,x)$$$ надо учитывать один раз.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 4\cdot10^4$$$) — количество наборов входных данных в тесте. Далее записаны $$$t$$$ наборов входных данных.</p><p>В первой строке каждого набора содержится четыре целых числа $$$n$$$, $$$m$$$, $$$a$$$ и $$$b$$$ ($$$4 \le n \le 2\cdot10^5$$$, $$$n - 1 \le m \le 5\cdot10^5$$$, $$$1 \le a,b \le n$$$, $$$a \ne b$$$) — количество городов и дорог в Берляндии и номера двух городов, где проходят ярмарки, соответственно.</p><p>Следующие $$$m$$$ строк содержат описания дорог между городами. Каждая из них содержит пару целых чисел $$$u_i, v_i$$$ ($$$1 \le u_i, v_i \le n$$$, $$$u_i \ne v_i$$$) — номера соединенных дорогой городов.</p><p>Каждая дорога является двунаправленной, соединяет пару различных городов. Гарантируется, что из любого города можно проехать в любой другой по дорогам. Между парой городов может быть более одной дороги.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$. Сумма значений $$$m$$$ по всем наборам входных данных в тесте не превосходит $$$5\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел — ответы на заданные наборы входных данных в порядке их записи в тесте.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 7 7 3 5 1 2 2 3 3 4 4 5 5 6 6 7 7 5 4 5 2 3 1 2 2 3 3 4 4 1 4 2 4 3 2 1 1 2 2 3 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 0 1 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="7d1183966202eaf3539a2299f4a9a52d"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="7939cebd28d8851bb37a9e1707e5ee268b87bb45"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72120" title="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" target="_blank">Анонс <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10054" resourceName="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10086:10087" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1276">Задачи</a></li> <li><a href="/contest/1276/submit">Отослать</a></li> <li><a href="/contest/1276/my">Мои посылки</a></li> <li><a href="/contest/1276/status">Статус</a></li> <li><a href="/contest/1276/hacks">Взломы</a></li> <li><a href="/contest/1276/room/1">Комната</a></li> <li><a href="/contest/1276/standings">Положение</a></li> <li><a href="/contest/1276/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_3c84153f3de5ff7f98232df4f4808e08f37e5744"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Две ярмарки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>В Берляндии $$$n$$$ городов, некоторые пары из которых соединены двусторонними дорогами. Гарантируется, что из любого города можно доехать в любой другой, двигаясь по дорогам. Города пронумерованы от $$$1$$$ до $$$n$$$.</p><p>В настоящий момент в Берляндии проходят две ярмарки — они проходят в двух различных городах $$$a$$$ и $$$b$$$ ($$$1 \le a, b \le n$$$; $$$a \ne b$$$).</p><p>Найдите количество таких пар городов $$$x$$$ и $$$y$$$ ($$$x \ne a, x \ne b, y \ne a, y \ne b$$$), что двигаясь из $$$x$$$ в $$$y$$$ обязательно придётся проехать через обе ярмарки (порядок их посещения не важен). Формально, надо найти количество таких пар городов $$$x,y$$$, что любой путь из $$$x$$$ в $$$y$$$ проходит и через $$$a$$$ и через $$$b$$$ (в любом порядке).</p><p>Выведите искомое количество пар. Порядок двух городов в паре не имеет значение, то есть пары $$$(x,y)$$$ и $$$(y,x)$$$ надо учитывать один раз.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 4\cdot10^4$$$) — количество наборов входных данных в тесте. Далее записаны $$$t$$$ наборов входных данных.</p><p>В первой строке каждого набора содержится четыре целых числа $$$n$$$, $$$m$$$, $$$a$$$ и $$$b$$$ ($$$4 \le n \le 2\cdot10^5$$$, $$$n - 1 \le m \le 5\cdot10^5$$$, $$$1 \le a,b \le n$$$, $$$a \ne b$$$) — количество городов и дорог в Берляндии и номера двух городов, где проходят ярмарки, соответственно.</p><p>Следующие $$$m$$$ строк содержат описания дорог между городами. Каждая из них содержит пару целых чисел $$$u_i, v_i$$$ ($$$1 \le u_i, v_i \le n$$$, $$$u_i \ne v_i$$$) — номера соединенных дорогой городов.</p><p>Каждая дорога является двунаправленной, соединяет пару различных городов. Гарантируется, что из любого города можно проехать в любой другой по дорогам. Между парой городов может быть более одной дороги.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$. Сумма значений $$$m$$$ по всем наборам входных данных в тесте не превосходит $$$5\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел — ответы на заданные наборы входных данных в порядке их записи в тесте.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 7 7 3 5 1 2 2 3 3 4 4 5 5 6 6 7 7 5 4 5 2 3 1 2 2 3 3 4 4 1 4 2 4 3 2 1 1 2 2 3 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 0 1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); 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1276C	1276	C	ru	C. Красивый прямоугольник	<div class="problem-statement"><div class="header"><div class="title">C. Красивый прямоугольник</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Заданы $$$n$$$ чисел. Требуется выбрать поднабор и сложить их в красивый прямоугольник (прямоугольную матрицу). Каждое выбранное число должен занять одну свою ячейку прямоугольника, каждая ячейка должна содержать ровно одно выбранное число. Некоторые из $$$n$$$ чисел могут остаться не выбранными.</p><p>Прямоугольник (прямоугольная матрица) называется красивым, если в каждой строке и в каждом столбце все значения различны.</p><p>Какой наибольший по площади (суммарному количеству ячеек) красивый прямоугольник можно сложить? Выведите и сам прямоугольник.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$). Во второй строке записаны $$$n$$$ целых чисел ($$$1 \le a_i \le 10^9$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первую строку выведите $$$x$$$ ($$$1 \le x \le n$$$) — площадь (суммарное количество ячеек) искомого максимального красивого прямоугольника. Во вторую строку выведите $$$p$$$ и $$$q$$$ ($$$p \cdot q=x$$$) — его размеры. В следующих $$$p$$$ строках выведите сам искомый прямоугольник. Если ответов несколько, выведите любой.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 12 3 1 4 1 5 9 2 6 5 3 5 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 12 3 4 1 2 3 5 3 1 5 4 5 6 8 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 1 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 1 1 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="a10b1fa5b492026bc176755d3d6dd110"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - C - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="7939cebd28d8851bb37a9e1707e5ee268b87bb45"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - C - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72120" title="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" target="_blank">Анонс <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10054" resourceName="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10086:10087" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1276">Задачи</a></li> <li><a href="/contest/1276/submit">Отослать</a></li> <li><a href="/contest/1276/my">Мои посылки</a></li> <li><a href="/contest/1276/status">Статус</a></li> <li><a href="/contest/1276/hacks">Взломы</a></li> <li><a href="/contest/1276/room/1">Комната</a></li> <li><a href="/contest/1276/standings">Положение</a></li> <li><a href="/contest/1276/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; if (!pre) { s = s.replace(/\s+/g, " "); } if (s.length > 0) { result.push(s); } } if (pre && node.tagName === "BR") { result.push("\n"); } node.childNodes.forEach(function (child) { result.push(nodeToText(child, node.tagName === "PRE").join("")); }); if (node.tagName === "DIV" \|\| node.tagName === "P" \|\| node.tagName === "PRE" \|\| node.tagName === "UL" \|\| node.tagName === "LI" ) { result.push("\n"); } if (node.tagName === "NOBR") { result.push(CLOSING_SPACE); } return result; } const isSpecial = function (c) { return c === ',' \|\| c === '.' \|\| c === ';' \|\| c === ')' \|\| c === ' '; } const convertStatementToText = function(statmentNode) { const text = nodeToText(statmentNode, false).join("").replace(/ +/g, " ").replace(/\n\n+/g, "\n\n"); let result = []; for (let i = 0; i < text.length; i++) { const c = text.charAt(i); if (c === OPENING_SPACE) { if (!((i > 0 && text.charAt(i - 1) === '(') \|\| (result.length > 0 && result[result.length - 1] === ' '))) { result.push('+'); } } else if (c === CLOSING_SPACE) { if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) { result.push('-'); } } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_175a8f23ad65e06d5b3d02ba029a6ac81564f3f3"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Красивый прямоугольник</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Заданы $$$n$$$ чисел. Требуется выбрать поднабор и сложить их в красивый прямоугольник (прямоугольную матрицу). Каждое выбранное число должен занять одну свою ячейку прямоугольника, каждая ячейка должна содержать ровно одно выбранное число. Некоторые из $$$n$$$ чисел могут остаться не выбранными.</p><p>Прямоугольник (прямоугольная матрица) называется красивым, если в каждой строке и в каждом столбце все значения различны.</p><p>Какой наибольший по площади (суммарному количеству ячеек) красивый прямоугольник можно сложить? Выведите и сам прямоугольник.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$). Во второй строке записаны $$$n$$$ целых чисел ($$$1 \le a_i \le 10^9$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первую строку выведите $$$x$$$ ($$$1 \le x \le n$$$) — площадь (суммарное количество ячеек) искомого максимального красивого прямоугольника. Во вторую строку выведите $$$p$$$ и $$$q$$$ ($$$p \cdot q=x$$$) — его размеры. В следующих $$$p$$$ строках выведите сам искомый прямоугольник. 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1276D	1276	D	ru	D. Выбывание на дереве	<div class="problem-statement"><div class="header"><div class="title">D. Выбывание на дереве</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Васи есть дерево с $$$n$$$ вершинами, пронумерованными от $$$1$$$ до $$$n$$$, и $$$n - 1$$$ рёбрами, пронумерованными от $$$1$$$ до $$$n - 1$$$. Исходно в каждой вершине находится жетон, на котором написан номер вершины.</p><p>Вася играет в игру. Он рассматривает все рёбра в порядке возрастания номеров. Для каждого ребра он делает следующее:</p><ul><li> Если в каждом из концов ребра находится по жетону, удалить один из жетонов и записать его номер.</li><li> Иначе, ничего не делать.</li></ul><p>Результатом игры является последовательность чисел, которую выписал Вася. Последовательности могут получаться различными в зависимости от того, из каких концов рёбер Вася берёт жетоны.</p><p>Вася играл очень долго и считает, что выписал все возможные различные последовательности, которые могли получиться. Он просит вас проверить его и посчитать количество различных итоговых последовательностей по модулю $$$998\,244\,353$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$2 \leq n \leq 2 \cdot 10^5$$$) — количество вершин дерева.</p><p>Следующие $$$n - 1$$$ строк описывают рёбра дерева. В $$$i$$$-ё из этих строк записано два целых числа $$$u_i, v_i$$$ ($$$1 \leq u_i, v_i \leq n$$$) — концы рёбра с номером $$$i$$$. Гарантируется, что описанный граф является деревом.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество различных итоговых последовательеостей по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 1 3 1 4 1 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 7 2 7 6 1 2 7 5 4 7 3 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 10 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере различные последовательности таковы: $$$(1), (2, 1), (2, 3, 1), (2, 3, 4, 1), (2, 3, 4, 5)$$$.</p><p>Во втором примере различные последовательности таковы: $$$(2, 6, 5, 3), (2, 6, 5, 7), (2, 6, 7, 2), (2, 6, 7, 5), (2, 7, 3), (2, 7, 5), (7, 1, 3), (7, 1, 5), (7, 2, 3), (7, 2, 5)$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="a9b66d4711a06fc83b4cdd25d4afe445"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="7939cebd28d8851bb37a9e1707e5ee268b87bb45"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72120" title="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" target="_blank">Анонс <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10054" resourceName="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10086:10087" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1276">Задачи</a></li> <li><a href="/contest/1276/submit">Отослать</a></li> <li><a href="/contest/1276/my">Мои посылки</a></li> <li><a href="/contest/1276/status">Статус</a></li> <li><a href="/contest/1276/hacks">Взломы</a></li> <li><a href="/contest/1276/room/1">Комната</a></li> <li><a href="/contest/1276/standings">Положение</a></li> <li><a href="/contest/1276/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_641e7020ab408403361332a765a6fff3266108f8"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Выбывание на дереве</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Васи есть дерево с $$$n$$$ вершинами, пронумерованными от $$$1$$$ до $$$n$$$, и $$$n - 1$$$ рёбрами, пронумерованными от $$$1$$$ до $$$n - 1$$$. Исходно в каждой вершине находится жетон, на котором написан номер вершины.</p><p>Вася играет в игру. Он рассматривает все рёбра в порядке возрастания номеров. Для каждого ребра он делает следующее:</p><ul><li> Если в каждом из концов ребра находится по жетону, удалить один из жетонов и записать его номер.</li><li> Иначе, ничего не делать.</li></ul><p>Результатом игры является последовательность чисел, которую выписал Вася. Последовательности могут получаться различными в зависимости от того, из каких концов рёбер Вася берёт жетоны.</p><p>Вася играл очень долго и считает, что выписал все возможные различные последовательности, которые могли получиться. Он просит вас проверить его и посчитать количество различных итоговых последовательностей по модулю $$$998\,244\,353$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$2 \leq n \leq 2 \cdot 10^5$$$) — количество вершин дерева.</p><p>Следующие $$$n - 1$$$ строк описывают рёбра дерева. В $$$i$$$-ё из этих строк записано два целых числа $$$u_i, v_i$$$ ($$$1 \leq u_i, v_i \leq n$$$) — концы рёбра с номером $$$i$$$. Гарантируется, что описанный граф является деревом.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество различных итоговых последовательеостей по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 1 3 1 4 1 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 7 2 7 6 1 2 7 5 4 7 3 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 10 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере различные последовательности таковы: $$$(1), (2, 1), (2, 3, 1), (2, 3, 4, 1), (2, 3, 4, 5)$$$.</p><p>Во втором примере различные последовательности таковы: $$$(2, 6, 5, 3), (2, 6, 5, 7), (2, 6, 7, 2), (2, 6, 7, 5), (2, 7, 3), (2, 7, 5), (7, 1, 3), (7, 1, 5), (7, 2, 3), (7, 2, 5)$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); 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1276E	1276	E	ru	E. Четыре камня	<div class="problem-statement"><div class="header"><div class="title">E. Четыре камня</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>На бесконечной прямой расположено четыре камня в целочисленных координатах $$$a_1, a_2, a_3, a_4$$$. Цель — переместить камни в позиции с координатами $$$b_1, b_2, b_3, b_4$$$. Порядок камней не важен, то есть камень из любой позиции $$$a_i$$$ может оказаться в любой из позиций $$$b_j$$$, если в итоге каждая позиция содержит нужное количество камней (то есть, если координата $$$x$$$ встречается $$$k$$$ раз среди чисел $$$b_1, \ldots, b_4$$$, в конце в позиции $$$x$$$ должно быть ровно $$$k$$$ камней).</p><p>Мы можем перемещать камни при помощи следующей операции: выбрать две <span class="tex-font-style-bf">различные</span> позиции $$$x$$$ и $$$y$$$, в каждой из которых есть хотя бы один камень, и переместить один камень из $$$x$$$ в $$$2y - x$$$. Другими словами, операция перемещает один из камней в позицию, симметричную относительно другого камня. В любой момент разрешается помещать любое количество камней в одну и ту же позицию.</p><p>Найдите любую последовательность операций, приводящую к цели, или определите, что это невозможно. Ваша последовательность не обязана быть кратчайшей, но может содержать не более $$$1000$$$ операций.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано четыре целых числа $$$a_1, \ldots, a_4$$$ ($$$-10^9 \leq a_i \leq 10^9$$$) — исходные позиции камней. Любое количество камней могут находиться в одной точке.</p><p>Во второй строке записано четыре целых $$$b_1, \ldots, b_4$$$ ($$$-10^9 \leq b_i \leq 10^9$$$) — необходимые позиции камней. Любое количество из этих позиций могут находится в одной точке.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если не существует последовательности операций, приводящей к цели, выведите одно число $$$-1$$$. В противном случае, в первой строке выведите одно целое число $$$k$$$ ($$$0 \leq k \leq 1000$$$) — количество операций в вашей последовательности. В следующих $$$k$$$ строках опишите операции. $$$i$$$-я из этих строк должна содержать два целых числа $$$x_i$$$ и $$$y_i$$$ ($$$x_i \neq y_i$$$) — координата перемещаемого камня и координата центра симметрии для $$$i$$$-й операции соответственно.</p><p>Перед каждой операцией $$$i$$$ в координатах $$$x_i$$$ и $$$y_i$$$ должно быть хотя бы по одному камню, и новая координата камня $$$2y_i - x_i$$$ не должна превосходить $$$10^{18}$$$ по абсолютной величине.</p><p>Если существует несколько подходящих последовательностей, выведите любую. Гарантируется, что если подходящая последовательность операций существует, то существует и последовательность, удовлетворяющая всем дополнительным ограничениям.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 0 1 2 3 3 5 6 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 1 3 2 5 0 3 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 0 0 0 0 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 0 0 0 1 0 1 0 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="0e2478578a5a8179c24e54e5bcb4dfd0"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="7939cebd28d8851bb37a9e1707e5ee268b87bb45"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1276/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72120" title="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" target="_blank">Анонс <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10054" resourceName="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10086:10087" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1276">Задачи</a></li> <li><a href="/contest/1276/submit">Отослать</a></li> <li><a href="/contest/1276/my">Мои посылки</a></li> <li><a href="/contest/1276/status">Статус</a></li> <li><a href="/contest/1276/hacks">Взломы</a></li> <li><a href="/contest/1276/room/1">Комната</a></li> <li><a href="/contest/1276/standings">Положение</a></li> <li><a href="/contest/1276/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_07095f8e7c2b162d65d5d5de27cc2d84a54d6c31"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Четыре камня</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>На бесконечной прямой расположено четыре камня в целочисленных координатах $$$a_1, a_2, a_3, a_4$$$. Цель — переместить камни в позиции с координатами $$$b_1, b_2, b_3, b_4$$$. Порядок камней не важен, то есть камень из любой позиции $$$a_i$$$ может оказаться в любой из позиций $$$b_j$$$, если в итоге каждая позиция содержит нужное количество камней (то есть, если координата $$$x$$$ встречается $$$k$$$ раз среди чисел $$$b_1, \ldots, b_4$$$, в конце в позиции $$$x$$$ должно быть ровно $$$k$$$ камней).</p><p>Мы можем перемещать камни при помощи следующей операции: выбрать две <span class="tex-font-style-bf">различные</span> позиции $$$x$$$ и $$$y$$$, в каждой из которых есть хотя бы один камень, и переместить один камень из $$$x$$$ в $$$2y - x$$$. Другими словами, операция перемещает один из камней в позицию, симметричную относительно другого камня. В любой момент разрешается помещать любое количество камней в одну и ту же позицию.</p><p>Найдите любую последовательность операций, приводящую к цели, или определите, что это невозможно. Ваша последовательность не обязана быть кратчайшей, но может содержать не более $$$1000$$$ операций.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано четыре целых числа $$$a_1, \ldots, a_4$$$ ($$$-10^9 \leq a_i \leq 10^9$$$) — исходные позиции камней. Любое количество камней могут находиться в одной точке.</p><p>Во второй строке записано четыре целых $$$b_1, \ldots, b_4$$$ ($$$-10^9 \leq b_i \leq 10^9$$$) — необходимые позиции камней. Любое количество из этих позиций могут находится в одной точке.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если не существует последовательности операций, приводящей к цели, выведите одно число $$$-1$$$. В противном случае, в первой строке выведите одно целое число $$$k$$$ ($$$0 \leq k \leq 1000$$$) — количество операций в вашей последовательности. В следующих $$$k$$$ строках опишите операции. $$$i$$$-я из этих строк должна содержать два целых числа $$$x_i$$$ и $$$y_i$$$ ($$$x_i \neq y_i$$$) — координата перемещаемого камня и координата центра симметрии для $$$i$$$-й операции соответственно.</p><p>Перед каждой операцией $$$i$$$ в координатах $$$x_i$$$ и $$$y_i$$$ должно быть хотя бы по одному камню, и новая координата камня $$$2y_i - x_i$$$ не должна превосходить $$$10^{18}$$$ по абсолютной величине.</p><p>Если существует несколько подходящих последовательностей, выведите любую. Гарантируется, что если подходящая последовательность операций существует, то существует и последовательность, удовлетворяющая всем дополнительным ограничениям.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 0 1 2 3 3 5 6 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 1 3 2 5 0 3 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 0 0 0 0 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 0 0 0 1 0 1 0 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); 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1276F	1276	F	ru	F. Звёздочки и подстроки	<div class="problem-statement"><div class="header"><div class="title">F. Звёздочки и подстроки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>5 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Рассмотрим строку $$$s$$$ из $$$n$$$ маленьких английских букв. Пусть $$$t_i$$$ — строка, полученная из $$$s$$$ заменой $$$i$$$-го символа на символ звёздочки <span class="tex-font-style-tt"></span>. Например, если $$$s = \mathtt{abc}$$$, то $$$t_1 = \tt{bc}$$$, $$$t_2 = \tt{ac}$$$ и $$$t_3 = \tt{ab}$$$.</p><p>По данной строке $$$s$$$ определите количество различных строк из маленьких латинских букв и звёздочек, которые встречаются как подстроки хотя бы в одной из строк $$$\{s, t_1, \ldots, t_n \}$$$. Пустая строка входит в ответ.</p><p>Обратите внимание, что <span class="tex-font-style-tt"></span> в данной задаче является обычным символом и не играет специальной роли, как например, в подстановке регулярных выражений.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке записана строка $$$s$$$ из $$$n$$$ маленьких английских букв ($$$1 \leq n \leq 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно число — количество различных подстрок $$$s, t_1, \ldots, t_n$$$.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> abc </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 15 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В примере различными подстроками являются: <span class="tex-font-style-it">(пустая строка)</span>, <span class="tex-font-style-tt">a</span>, <span class="tex-font-style-tt">b</span>, <span class="tex-font-style-tt">c</span>, <span class="tex-font-style-tt"></span>, <span class="tex-font-style-tt">ab</span>, <span class="tex-font-style-tt">a</span>, <span class="tex-font-style-tt">bc</span>, <span class="tex-font-style-tt">b</span>, <span class="tex-font-style-tt">b</span>, <span class="tex-font-style-tt">c</span>, <span class="tex-font-style-tt">abc</span>, <span class="tex-font-style-tt">ab</span>, <span class="tex-font-style-tt">ac</span>, <span class="tex-font-style-tt">*bc</span>.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="2924c84817d44d8a3460064565228504"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - F - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="7939cebd28d8851bb37a9e1707e5ee268b87bb45"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - F - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72120" title="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" target="_blank">Анонс <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10054" resourceName="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10086:10087" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1276">Задачи</a></li> <li><a href="/contest/1276/submit">Отослать</a></li> <li><a href="/contest/1276/my">Мои посылки</a></li> <li><a href="/contest/1276/status">Статус</a></li> <li><a href="/contest/1276/hacks">Взломы</a></li> <li><a href="/contest/1276/room/1">Комната</a></li> <li><a href="/contest/1276/standings">Положение</a></li> <li><a href="/contest/1276/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_11a6e8c55f715851c030ed697a24b7905f7fd1e4"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Звёздочки и подстроки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>5 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Рассмотрим строку $$$s$$$ из $$$n$$$ маленьких английских букв. Пусть $$$t_i$$$ — строка, полученная из $$$s$$$ заменой $$$i$$$-го символа на символ звёздочки <span class="tex-font-style-tt"></span>. Например, если $$$s = \mathtt{abc}$$$, то $$$t_1 = \tt{bc}$$$, $$$t_2 = \tt{ac}$$$ и $$$t_3 = \tt{ab}$$$.</p><p>По данной строке $$$s$$$ определите количество различных строк из маленьких латинских букв и звёздочек, которые встречаются как подстроки хотя бы в одной из строк $$$\{s, t_1, \ldots, t_n \}$$$. Пустая строка входит в ответ.</p><p>Обратите внимание, что <span class="tex-font-style-tt"></span> в данной задаче является обычным символом и не играет специальной роли, как например, в подстановке регулярных выражений.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке записана строка $$$s$$$ из $$$n$$$ маленьких английских букв ($$$1 \leq n \leq 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно число — количество различных подстрок $$$s, t_1, \ldots, t_n$$$.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> abc </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 15 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В примере различными подстроками являются: <span class="tex-font-style-it">(пустая строка)</span>, <span class="tex-font-style-tt">a</span>, <span class="tex-font-style-tt">b</span>, <span class="tex-font-style-tt">c</span>, <span class="tex-font-style-tt"></span>, <span class="tex-font-style-tt">ab</span>, <span class="tex-font-style-tt">a</span>, <span class="tex-font-style-tt">bc</span>, <span class="tex-font-style-tt">b</span>, <span class="tex-font-style-tt">b</span>, <span class="tex-font-style-tt">c</span>, <span class="tex-font-style-tt">abc</span>, <span class="tex-font-style-tt">ab</span>, <span class="tex-font-style-tt">ac</span>, <span class="tex-font-style-tt">bc</span>.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); 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1277A	1277	A	ru	A. С днём рождения, Поликарп!	<div class="problem-statement"><div class="header"><div class="title">A. С днём рождения, Поликарп!</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Ура! Поликарпу исполнилось $$$n$$$ лет! Команда Технокубка от всей души поздравляет Поликарпа!</p><p>Поликарп отмечал все свои $$$n$$$ дней рождения — от $$$1$$$-го до $$$n$$$-го. В настоящий момент ему интересно: сколько раз ему исполнялось <span class="tex-font-style-it">красивое</span> число лет?</p><p>По мнению Поликарпа положительное целое число является <span class="tex-font-style-it">красивым</span>, если состоит только из одной цифры, повторенной один или более раз. Например, следующие числа являются красивыми: $$$1$$$, $$$77$$$, $$$777$$$, $$$44$$$ и $$$999999$$$. Следующие числа красивыми не являются: $$$12$$$, $$$11110$$$, $$$6969$$$ и $$$987654321$$$.</p><p>Конечно, Поликарп использует запись числа в привычной ему десятичной системе счисления.</p><p>Помогите Поликарпу — найдите количество чисел от $$$1$$$ до $$$n$$$ (включительно), которые являются красивыми.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Каждый набор входных данных состоит из одной строки, которая содержит целое положительное число $$$n$$$ ($$$1 \le n \le 10^9$$$) — сколько лет исполнилось Поликарпу.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел — ответы на заданные наборы входных данных в порядке их записи в тесте. Каждый ответ является целым числом — количеством красивых лет от $$$1$$$ до $$$n$$$.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 18 1 9 100500 33 1000000000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 10 1 9 45 12 81 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных примера искомые красивые года это — $$$1$$$, $$$2$$$, $$$3$$$, $$$4$$$, $$$5$$$, $$$6$$$, $$$7$$$, $$$8$$$, $$$9$$$ и $$$11$$$.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="f9ce2046599b6b07c5fab35c2921bd4a"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - A - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="da9a11f1a2c1966eb99e62bcf31bd79d1ebfe0c9"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - A - Codeforces</title> <meta name="description" content="Codeforces. 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params[key] = value; } }); $.post(dataPageUrl, params, function (result) { if (result["success"] !== "true") { Codeforces.showMessage("Не удалось сохранить состояние блока."); } }, "json"); return false; }); }) </script> </div> <div class="roundbox sidebox borderTopRound " style=""> <div class="caption titled">→ Теги задачи <div class="top-links"> </div> </div> <div style="padding: 0.5em;"> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Реализация, техника программирования, симуляция"> реализация </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> 1000 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='f9ce2046599b6b07c5fab35c2921bd4a'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="495581"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='f9ce2046599b6b07c5fab35c2921bd4a'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="495581"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10088:10089" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1277">Задачи</a></li> <li><a href="/contest/1277/submit">Отослать</a></li> <li><a href="/contest/1277/my">Мои посылки</a></li> <li><a href="/contest/1277/status">Статус</a></li> <li><a href="/contest/1277/hacks">Взломы</a></li> <li><a href="/contest/1277/room/1">Комната</a></li> <li><a href="/contest/1277/standings">Положение</a></li> <li><a href="/contest/1277/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_5c23b35cca356e45bbcf50845dd718216520c288"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. С днём рождения, Поликарп!</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Ура! Поликарпу исполнилось $$$n$$$ лет! Команда Технокубка от всей души поздравляет Поликарпа!</p><p>Поликарп отмечал все свои $$$n$$$ дней рождения — от $$$1$$$-го до $$$n$$$-го. В настоящий момент ему интересно: сколько раз ему исполнялось <span class="tex-font-style-it">красивое</span> число лет?</p><p>По мнению Поликарпа положительное целое число является <span class="tex-font-style-it">красивым</span>, если состоит только из одной цифры, повторенной один или более раз. Например, следующие числа являются красивыми: $$$1$$$, $$$77$$$, $$$777$$$, $$$44$$$ и $$$999999$$$. Следующие числа красивыми не являются: $$$12$$$, $$$11110$$$, $$$6969$$$ и $$$987654321$$$.</p><p>Конечно, Поликарп использует запись числа в привычной ему десятичной системе счисления.</p><p>Помогите Поликарпу — найдите количество чисел от $$$1$$$ до $$$n$$$ (включительно), которые являются красивыми.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Каждый набор входных данных состоит из одной строки, которая содержит целое положительное число $$$n$$$ ($$$1 \le n \le 10^9$$$) — сколько лет исполнилось Поликарпу.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел — ответы на заданные наборы входных данных в порядке их записи в тесте. Каждый ответ является целым числом — количеством красивых лет от $$$1$$$ до $$$n$$$.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 18 1 9 100500 33 1000000000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 10 1 9 45 12 81 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных примера искомые красивые года это — $$$1$$$, $$$2$$$, $$$3$$$, $$$4$$$, $$$5$$$, $$$6$$$, $$$7$$$, $$$8$$$, $$$9$$$ и $$$11$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); 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1277B	1277	B	ru	B. Сделай нечетными	<div class="problem-statement"><div class="header"><div class="title">B. Сделай нечетными</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Заданы $$$n$$$ положительных целых чисел $$$a_1, a_2, \dots, a_n$$$. За один ход можно выбрать произвольное четное значение $$$c$$$ и поделить на два <span class="tex-font-style-bf">все</span> элементы, которые равны $$$c$$$.</p><p>Например, если $$$a=[6,8,12,6,3,12]$$$ и выбрать $$$c=6$$$, то после совершения хода $$$a$$$ примет вид: $$$a=[3,8,12,3,3,12]$$$.</p><p>Вам требуется найти минимальное количество ходов, чтобы сделать все числа в $$$a$$$ нечетными (т.е. не делящимися нацело на $$$2$$$).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка набора входных данных содержит $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — количество чисел в заданной последовательности $$$a$$$. Вторая строка содержит положительные целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк — ответы для заданных наборов входных данных в порядке их следования в тесте. Ответ равен минимальному количеству ходов, чтобы сделать все числа в наборе входных данных нечетными (то есть, которые не делятся на $$$2$$$).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 6 40 6 40 3 20 1 1 1024 4 2 4 8 16 3 3 1 7 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 10 4 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных последовательность действий может быть такая:</p><ul> <li> до совершения ходов $$$a=[40, 6, 40, 3, 20, 1]$$$; </li><li> выберем $$$c=6$$$; </li><li> теперь $$$a=[40, 3, 40, 3, 20, 1]$$$; </li><li> выберем $$$c=40$$$; </li><li> теперь $$$a=[20, 3, 20, 3, 20, 1]$$$; </li><li> выберем $$$c=20$$$; </li><li> теперь $$$a=[10, 3, 10, 3, 10, 1]$$$; </li><li> выберем $$$c=10$$$; </li><li> теперь $$$a=[5, 3, 5, 3, 5, 1]$$$ — все числа нечётные. </li></ul><p>Таким образом, все числа стали нечётными за $$$4$$$ хода. За $$$3$$$ хода или менее сделать их все нечётными нельзя.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="930a926e8d28eabba6f92ab7ff255d68"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="da9a11f1a2c1966eb99e62bcf31bd79d1ebfe0c9"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_30d860281f83305e9c8922a174c46398521964bb"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Сделай нечетными</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Заданы $$$n$$$ положительных целых чисел $$$a_1, a_2, \dots, a_n$$$. За один ход можно выбрать произвольное четное значение $$$c$$$ и поделить на два <span class="tex-font-style-bf">все</span> элементы, которые равны $$$c$$$.</p><p>Например, если $$$a=[6,8,12,6,3,12]$$$ и выбрать $$$c=6$$$, то после совершения хода $$$a$$$ примет вид: $$$a=[3,8,12,3,3,12]$$$.</p><p>Вам требуется найти минимальное количество ходов, чтобы сделать все числа в $$$a$$$ нечетными (т.е. не делящимися нацело на $$$2$$$).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка набора входных данных содержит $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — количество чисел в заданной последовательности $$$a$$$. Вторая строка содержит положительные целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк — ответы для заданных наборов входных данных в порядке их следования в тесте. Ответ равен минимальному количеству ходов, чтобы сделать все числа в наборе входных данных нечетными (то есть, которые не делятся на $$$2$$$).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 6 40 6 40 3 20 1 1 1024 4 2 4 8 16 3 3 1 7 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 10 4 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных последовательность действий может быть такая:</p><ul> <li> до совершения ходов $$$a=[40, 6, 40, 3, 20, 1]$$$; </li><li> выберем $$$c=6$$$; </li><li> теперь $$$a=[40, 3, 40, 3, 20, 1]$$$; </li><li> выберем $$$c=40$$$; </li><li> теперь $$$a=[20, 3, 20, 3, 20, 1]$$$; </li><li> выберем $$$c=20$$$; </li><li> теперь $$$a=[10, 3, 10, 3, 10, 1]$$$; </li><li> выберем $$$c=10$$$; </li><li> теперь $$$a=[5, 3, 5, 3, 5, 1]$$$ — все числа нечётные. </li></ul><p>Таким образом, все числа стали нечётными за $$$4$$$ хода. 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1277C	1277	C	ru	C. Просто как one и two	<div class="problem-statement"><div class="header"><div class="title">C. Просто как one и two</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Задана непустая строка $$$s=s_1s_2\dots s_n$$$, которая состоит исключительно из строчных букв латинского алфавита. Строка не нравится Поликарпу, если содержит в качестве <span class="tex-font-style-bf">подстроки</span> строки хотя бы одну строку «<span class="tex-font-style-tt">one</span>» или хотя бы одну строку «<span class="tex-font-style-tt">two</span>» (или их обе одновременно). Иными словами, строка $$$s$$$ не нравится Поликарпу, если существует такое целое $$$j$$$ ($$$1 \le j \le n-2$$$), что $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">one</span>» или $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">two</span>».</p><p>Например:</p><ul> <li> «<span class="tex-font-style-tt">oneee</span>», «<span class="tex-font-style-tt">ontwow</span>», «<span class="tex-font-style-tt">twone</span>» и «<span class="tex-font-style-tt">oneonetwo</span>» — не нравятся Поликарпу (в них есть хотя бы одна подстрока «<span class="tex-font-style-tt">one</span>» или «<span class="tex-font-style-tt">two</span>»); </li><li> «<span class="tex-font-style-tt">oonnee</span>», «<span class="tex-font-style-tt">twwwo</span>» и «<span class="tex-font-style-tt">twnoe</span>» — нравятся Поликарпу (в них нет подстрок «<span class="tex-font-style-tt">one</span>» и «<span class="tex-font-style-tt">two</span>»). </li></ul><p>Поликарп хочет выбрать некоторый набор индексов (позиций) и удалить все буквы на этих позициях. Процесс удаления букв происходит одновременно.</p><p>Например, если строка имела вид $$$s=$$$«<span class="tex-font-style-tt">onetwone</span>», то если Поликарп выберет два индекса $$$3$$$ и $$$6$$$, то будут выбраны «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>» и в результате получится «<span class="tex-font-style-tt">ontwne</span>».</p><p>Какое минимальное количество индексов (позиций) надо выбрать Поликарпу, чтобы строка перестала ему не нравиться? Какие это должны быть позиции?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее заданы сами наборы входных данных.</p><p>Каждый набор входных данных состоит из одной непустой строки, содержащей $$$s$$$. Ее длина не превосходит $$$1.5\cdot10^5$$$. Строка $$$s$$$ состоит исключительно из строчных букв латинского алфавита.</p><p>Гарантируется, что сумма длин всех строк по всем наборам входных данных в тесте не превосходит $$$1.5\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого набора входных данных выведите ответ.</p><p>Первая строка ответа должна содержать $$$r$$$ ($$$0 \le r \le \|s\|$$$) — искомое минимальное количество позиций, где $$$\|s\|$$$ — длина заданной строки. Вторая строка ответа должна содержать $$$r$$$ различных целых чисел от — сами индексы для удаления в произвольном порядке. Индексы нумеруются слева направо в от $$$1$$$ до длины строки. Если $$$r=0$$$, то вторую строку можно не выводить (а можно вывести пустой). Если ответов несколько, то выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 onetwone testme oneoneone twotwo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 6 3 0 3 4 1 7 2 1 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 onetwonetwooneooonetwooo two one twooooo ttttwo ttwwoo ooone onnne oneeeee oneeeeeeetwooooo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 18 11 12 1 6 21 1 1 1 3 1 2 1 6 0 1 4 0 1 1 2 1 11 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере ответы равны:</p><ul> <li> «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt">testme</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>». </li></ul><p>Во втором примере ответы равны: </p><ul> <li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>»; </li><li> «<span class="tex-font-style-tt">tttt<span class="tex-font-style-underline"><span class="tex-font-style-bf">w</span></span>o</span>»; </li><li> «<span class="tex-font-style-tt">ttwwoo</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt">ooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e</span>»; </li><li> «<span class="tex-font-style-tt">onnne</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeee</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeeeee<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>». </li></ul></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="cf403f1286d8a88658c5708b31246b10"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; 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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1277/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10088:10089" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1277">Задачи</a></li> <li><a href="/contest/1277/submit">Отослать</a></li> <li><a href="/contest/1277/my">Мои посылки</a></li> <li><a href="/contest/1277/status">Статус</a></li> <li><a href="/contest/1277/hacks">Взломы</a></li> <li><a href="/contest/1277/room/1">Комната</a></li> <li><a href="/contest/1277/standings">Положение</a></li> <li><a href="/contest/1277/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_639fbba82f12159d46b093a5fd4d9d40ac91121d"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Просто как one и two</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Задана непустая строка $$$s=s_1s_2\dots s_n$$$, которая состоит исключительно из строчных букв латинского алфавита. Строка не нравится Поликарпу, если содержит в качестве <span class="tex-font-style-bf">подстроки</span> строки хотя бы одну строку «<span class="tex-font-style-tt">one</span>» или хотя бы одну строку «<span class="tex-font-style-tt">two</span>» (или их обе одновременно). Иными словами, строка $$$s$$$ не нравится Поликарпу, если существует такое целое $$$j$$$ ($$$1 \le j \le n-2$$$), что $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">one</span>» или $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">two</span>».</p><p>Например:</p><ul> <li> «<span class="tex-font-style-tt">oneee</span>», «<span class="tex-font-style-tt">ontwow</span>», «<span class="tex-font-style-tt">twone</span>» и «<span class="tex-font-style-tt">oneonetwo</span>» — не нравятся Поликарпу (в них есть хотя бы одна подстрока «<span class="tex-font-style-tt">one</span>» или «<span class="tex-font-style-tt">two</span>»); </li><li> «<span class="tex-font-style-tt">oonnee</span>», «<span class="tex-font-style-tt">twwwo</span>» и «<span class="tex-font-style-tt">twnoe</span>» — нравятся Поликарпу (в них нет подстрок «<span class="tex-font-style-tt">one</span>» и «<span class="tex-font-style-tt">two</span>»). </li></ul><p>Поликарп хочет выбрать некоторый набор индексов (позиций) и удалить все буквы на этих позициях. Процесс удаления букв происходит одновременно.</p><p>Например, если строка имела вид $$$s=$$$«<span class="tex-font-style-tt">onetwone</span>», то если Поликарп выберет два индекса $$$3$$$ и $$$6$$$, то будут выбраны «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>» и в результате получится «<span class="tex-font-style-tt">ontwne</span>».</p><p>Какое минимальное количество индексов (позиций) надо выбрать Поликарпу, чтобы строка перестала ему не нравиться? Какие это должны быть позиции?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее заданы сами наборы входных данных.</p><p>Каждый набор входных данных состоит из одной непустой строки, содержащей $$$s$$$. Ее длина не превосходит $$$1.5\cdot10^5$$$. Строка $$$s$$$ состоит исключительно из строчных букв латинского алфавита.</p><p>Гарантируется, что сумма длин всех строк по всем наборам входных данных в тесте не превосходит $$$1.5\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого набора входных данных выведите ответ.</p><p>Первая строка ответа должна содержать $$$r$$$ ($$$0 \le r \le \|s\|$$$) — искомое минимальное количество позиций, где $$$\|s\|$$$ — длина заданной строки. Вторая строка ответа должна содержать $$$r$$$ различных целых чисел от — сами индексы для удаления в произвольном порядке. Индексы нумеруются слева направо в от $$$1$$$ до длины строки. Если $$$r=0$$$, то вторую строку можно не выводить (а можно вывести пустой). Если ответов несколько, то выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 onetwone testme oneoneone twotwo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 6 3 0 3 4 1 7 2 1 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 onetwonetwooneooonetwooo two one twooooo ttttwo ttwwoo ooone onnne oneeeee oneeeeeeetwooooo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 18 11 12 1 6 21 1 1 1 3 1 2 1 6 0 1 4 0 1 1 2 1 11 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере ответы равны:</p><ul> <li> «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt">testme</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>». </li></ul><p>Во втором примере ответы равны: </p><ul> <li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>»; </li><li> «<span class="tex-font-style-tt">tttt<span class="tex-font-style-underline"><span class="tex-font-style-bf">w</span></span>o</span>»; </li><li> «<span class="tex-font-style-tt">ttwwoo</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt">ooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e</span>»; </li><li> «<span class="tex-font-style-tt">onnne</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeee</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeeeee<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>». </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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1277D	1277	D	ru	D. Сыграем в слова?	<div class="problem-statement"><div class="header"><div class="title">D. Сыграем в слова?</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Поликарпа есть $$$n$$$ <span class="tex-font-style-bf">различных</span> бинарных слов. Слово называется бинарным, если состоит только из символов '<span class="tex-font-style-tt">0</span>' и '<span class="tex-font-style-tt">1</span>'. Например, следующие слова являются бинарными: «<span class="tex-font-style-tt">0001</span>», «<span class="tex-font-style-tt">11</span>», «<span class="tex-font-style-tt">0</span>» и «<span class="tex-font-style-tt">0011100</span>».</p><p>Поликарп хочет предложить этот набор из $$$n$$$ слов для игры в слова. Напомним, что это такая игра, во время которой игроки называют слова и каждое очередное слово (начиная со второго названного) начинается на тот же символ, что закончилось предыдущее слово. Первое названное слово может быть любым. Например, следующая последовательность слов может быть произнесена во время игры: «<span class="tex-font-style-tt">0101</span>», «<span class="tex-font-style-tt">1</span>», «<span class="tex-font-style-tt">10</span>», «<span class="tex-font-style-tt">00</span>», «<span class="tex-font-style-tt">00001</span>».</p><p>Переворотом строки называется операция изменения порядка символов строки на обратный. Например, строка «<span class="tex-font-style-tt">0111</span>» после переворота примет вид: «<span class="tex-font-style-tt">1110</span>», а строка «<span class="tex-font-style-tt">11010</span>» после переворота примет вид: «<span class="tex-font-style-tt">01011</span>».</p><p>Возможно, набор слов Поликарпа такой, что не существует способа расположить их все в таком порядке, который согласуется с правилами игры. По этой причине Поликарп хочет перевернуть некоторые строки из заданного набора так, чтобы:</p><ul> <li> получившийся набор из $$$n$$$ строк всё еще содержал <span class="tex-font-style-bf">различные</span> строки; </li><li> строки из получившегося набора можно расположить в таком порядке, чтобы полученная последовательность из $$$n$$$ строк была согласована с правилами игры. </li></ul><p>Помогите Поликарпу выбрать минимальный набор строк, которые надо перевернуть.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее записаны $$$t$$$ наборов входных данных.</p><p>В первой строке каждого набора содержится целое число $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — количество строк в наборе Поликарпа. Следующие $$$n$$$ строк представляют собой строки набора. Все $$$n$$$ строк — непустые, состоят только из символов '<span class="tex-font-style-tt">0</span>' и '<span class="tex-font-style-tt">1</span>'. Сумма длин строк не превосходит $$$4\cdot10^6$$$. Все строки — <span class="tex-font-style-bf">различны</span>.</p><p>Гарантируется, что сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$. Гарантируется, что сумма длин всех строк Поликарпа по всем наборам входных данных в тесте не превосходит $$$4\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответы на $$$t$$$ наборов входных данных в порядке их следования.</p><p>Если ответа на набор входных данных не существует, то выведите <span class="tex-font-style-tt">-1</span>. Иначе первая строка ответа должна содержать целое число $$$k$$$ ($$$0 \le k \le n$$$) — минимальное количество строк набора, которые надо перевернуть. Во вторую строку ответа выведите индексы $$$k$$$ строк, которые надо перевернуть. Строки нумеруются в порядке их записи во входных данных от $$$1$$$ до $$$n$$$. Если $$$k=0$$$, то вторую строку можно не выводить (или можно вывести пустую строку). Если ответов несколько, то выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 4 0001 1000 0011 0111 3 010 101 0 2 00000 00001 4 01 001 0001 00001 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 3 -1 0 2 1 2 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="2fade3932482f34847911e56ba6ac811"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - D - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="da9a11f1a2c1966eb99e62bcf31bd79d1ebfe0c9"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - D - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10088:10089" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1277">Задачи</a></li> <li><a href="/contest/1277/submit">Отослать</a></li> <li><a href="/contest/1277/my">Мои посылки</a></li> <li><a href="/contest/1277/status">Статус</a></li> <li><a href="/contest/1277/hacks">Взломы</a></li> <li><a href="/contest/1277/room/1">Комната</a></li> <li><a href="/contest/1277/standings">Положение</a></li> <li><a href="/contest/1277/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" \|\| node.tagName === "math" \|\| (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_baad838fde198944cd4b2495b0ec61981a1e92d3"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Сыграем в слова?</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Поликарпа есть $$$n$$$ <span class="tex-font-style-bf">различных</span> бинарных слов. Слово называется бинарным, если состоит только из символов '<span class="tex-font-style-tt">0</span>' и '<span class="tex-font-style-tt">1</span>'. Например, следующие слова являются бинарными: «<span class="tex-font-style-tt">0001</span>», «<span class="tex-font-style-tt">11</span>», «<span class="tex-font-style-tt">0</span>» и «<span class="tex-font-style-tt">0011100</span>».</p><p>Поликарп хочет предложить этот набор из $$$n$$$ слов для игры в слова. Напомним, что это такая игра, во время которой игроки называют слова и каждое очередное слово (начиная со второго названного) начинается на тот же символ, что закончилось предыдущее слово. Первое названное слово может быть любым. Например, следующая последовательность слов может быть произнесена во время игры: «<span class="tex-font-style-tt">0101</span>», «<span class="tex-font-style-tt">1</span>», «<span class="tex-font-style-tt">10</span>», «<span class="tex-font-style-tt">00</span>», «<span class="tex-font-style-tt">00001</span>».</p><p>Переворотом строки называется операция изменения порядка символов строки на обратный. Например, строка «<span class="tex-font-style-tt">0111</span>» после переворота примет вид: «<span class="tex-font-style-tt">1110</span>», а строка «<span class="tex-font-style-tt">11010</span>» после переворота примет вид: «<span class="tex-font-style-tt">01011</span>».</p><p>Возможно, набор слов Поликарпа такой, что не существует способа расположить их все в таком порядке, который согласуется с правилами игры. По этой причине Поликарп хочет перевернуть некоторые строки из заданного набора так, чтобы:</p><ul> <li> получившийся набор из $$$n$$$ строк всё еще содержал <span class="tex-font-style-bf">различные</span> строки; </li><li> строки из получившегося набора можно расположить в таком порядке, чтобы полученная последовательность из $$$n$$$ строк была согласована с правилами игры. </li></ul><p>Помогите Поликарпу выбрать минимальный набор строк, которые надо перевернуть.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее записаны $$$t$$$ наборов входных данных.</p><p>В первой строке каждого набора содержится целое число $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — количество строк в наборе Поликарпа. Следующие $$$n$$$ строк представляют собой строки набора. Все $$$n$$$ строк — непустые, состоят только из символов '<span class="tex-font-style-tt">0</span>' и '<span class="tex-font-style-tt">1</span>'. Сумма длин строк не превосходит $$$4\cdot10^6$$$. Все строки — <span class="tex-font-style-bf">различны</span>.</p><p>Гарантируется, что сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$. Гарантируется, что сумма длин всех строк Поликарпа по всем наборам входных данных в тесте не превосходит $$$4\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответы на $$$t$$$ наборов входных данных в порядке их следования.</p><p>Если ответа на набор входных данных не существует, то выведите <span class="tex-font-style-tt">-1</span>. Иначе первая строка ответа должна содержать целое число $$$k$$$ ($$$0 \le k \le n$$$) — минимальное количество строк набора, которые надо перевернуть. Во вторую строку ответа выведите индексы $$$k$$$ строк, которые надо перевернуть. Строки нумеруются в порядке их записи во входных данных от $$$1$$$ до $$$n$$$. Если $$$k=0$$$, то вторую строку можно не выводить (или можно вывести пустую строку). Если ответов несколько, то выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 4 0001 1000 0011 0111 3 010 101 0 2 00000 00001 4 01 001 0001 00001 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 3 -1 0 2 1 2 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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1277E	1277	E	ru	E. Две ярмарки	<div class="problem-statement"><div class="header"><div class="title">E. Две ярмарки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>В Берляндии $$$n$$$ городов, некоторые пары из которых соединены двусторонними дорогами. Гарантируется, что из любого города можно доехать в любой другой, двигаясь по дорогам. Города пронумерованы от $$$1$$$ до $$$n$$$.</p><p>В настоящий момент в Берляндии проходят две ярмарки — они проходят в двух различных городах $$$a$$$ и $$$b$$$ ($$$1 \le a, b \le n$$$; $$$a \ne b$$$).</p><p>Найдите количество таких пар городов $$$x$$$ и $$$y$$$ ($$$x \ne a, x \ne b, y \ne a, y \ne b$$$), что двигаясь из $$$x$$$ в $$$y$$$ обязательно придётся проехать через обе ярмарки (порядок их посещения не важен). Формально, надо найти количество таких пар городов $$$x,y$$$, что любой путь из $$$x$$$ в $$$y$$$ проходит и через $$$a$$$ и через $$$b$$$ (в любом порядке).</p><p>Выведите искомое количество пар. Порядок двух городов в паре не имеет значение, то есть пары $$$(x,y)$$$ и $$$(y,x)$$$ надо учитывать один раз.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 4\cdot10^4$$$) — количество наборов входных данных в тесте. Далее записаны $$$t$$$ наборов входных данных.</p><p>В первой строке каждого набора содержится четыре целых числа $$$n$$$, $$$m$$$, $$$a$$$ и $$$b$$$ ($$$4 \le n \le 2\cdot10^5$$$, $$$n - 1 \le m \le 5\cdot10^5$$$, $$$1 \le a,b \le n$$$, $$$a \ne b$$$) — количество городов и дорог в Берляндии и номера двух городов, где проходят ярмарки, соответственно.</p><p>Следующие $$$m$$$ строк содержат описания дорог между городами. Каждая из них содержит пару целых чисел $$$u_i, v_i$$$ ($$$1 \le u_i, v_i \le n$$$, $$$u_i \ne v_i$$$) — номера соединенных дорогой городов.</p><p>Каждая дорога является двунаправленной, соединяет пару различных городов. Гарантируется, что из любого города можно проехать в любой другой по дорогам. Между парой городов может быть более одной дороги.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$. Сумма значений $$$m$$$ по всем наборам входных данных в тесте не превосходит $$$5\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел — ответы на заданные наборы входных данных в порядке их записи в тесте.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 7 7 3 5 1 2 2 3 3 4 4 5 5 6 6 7 7 5 4 5 2 3 1 2 2 3 3 4 4 1 4 2 4 3 2 1 1 2 2 3 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 0 1 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="a6050b8393cd6cbe60d869eb320352c8"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - E - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="da9a11f1a2c1966eb99e62bcf31bd79d1ebfe0c9"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - E - Codeforces</title> <meta name="description" content="Codeforces. 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Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10088:10089" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1277">Задачи</a></li> <li><a href="/contest/1277/submit">Отослать</a></li> <li><a href="/contest/1277/my">Мои посылки</a></li> <li><a href="/contest/1277/status">Статус</a></li> <li><a href="/contest/1277/hacks">Взломы</a></li> <li><a href="/contest/1277/room/1">Комната</a></li> <li><a href="/contest/1277/standings">Положение</a></li> <li><a href="/contest/1277/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_05f133cff0c4201a92fa7e2828cb7c3de399cefa"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Две ярмарки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>В Берляндии $$$n$$$ городов, некоторые пары из которых соединены двусторонними дорогами. Гарантируется, что из любого города можно доехать в любой другой, двигаясь по дорогам. Города пронумерованы от $$$1$$$ до $$$n$$$.</p><p>В настоящий момент в Берляндии проходят две ярмарки — они проходят в двух различных городах $$$a$$$ и $$$b$$$ ($$$1 \le a, b \le n$$$; $$$a \ne b$$$).</p><p>Найдите количество таких пар городов $$$x$$$ и $$$y$$$ ($$$x \ne a, x \ne b, y \ne a, y \ne b$$$), что двигаясь из $$$x$$$ в $$$y$$$ обязательно придётся проехать через обе ярмарки (порядок их посещения не важен). Формально, надо найти количество таких пар городов $$$x,y$$$, что любой путь из $$$x$$$ в $$$y$$$ проходит и через $$$a$$$ и через $$$b$$$ (в любом порядке).</p><p>Выведите искомое количество пар. Порядок двух городов в паре не имеет значение, то есть пары $$$(x,y)$$$ и $$$(y,x)$$$ надо учитывать один раз.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 4\cdot10^4$$$) — количество наборов входных данных в тесте. Далее записаны $$$t$$$ наборов входных данных.</p><p>В первой строке каждого набора содержится четыре целых числа $$$n$$$, $$$m$$$, $$$a$$$ и $$$b$$$ ($$$4 \le n \le 2\cdot10^5$$$, $$$n - 1 \le m \le 5\cdot10^5$$$, $$$1 \le a,b \le n$$$, $$$a \ne b$$$) — количество городов и дорог в Берляндии и номера двух городов, где проходят ярмарки, соответственно.</p><p>Следующие $$$m$$$ строк содержат описания дорог между городами. Каждая из них содержит пару целых чисел $$$u_i, v_i$$$ ($$$1 \le u_i, v_i \le n$$$, $$$u_i \ne v_i$$$) — номера соединенных дорогой городов.</p><p>Каждая дорога является двунаправленной, соединяет пару различных городов. Гарантируется, что из любого города можно проехать в любой другой по дорогам. Между парой городов может быть более одной дороги.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$. Сумма значений $$$m$$$ по всем наборам входных данных в тесте не превосходит $$$5\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел — ответы на заданные наборы входных данных в порядке их записи в тесте.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 7 7 3 5 1 2 2 3 3 4 4 5 5 6 6 7 7 5 4 5 2 3 1 2 2 3 3 4 4 1 4 2 4 3 2 1 1 2 2 3 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 0 1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); 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1277F	1277	F	ru	F. Красивый прямоугольник	<div class="problem-statement"><div class="header"><div class="title">F. Красивый прямоугольник</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Заданы $$$n$$$ чисел. Требуется выбрать поднабор и сложить их в красивый прямоугольник (прямоугольную матрицу). Каждое выбранное число должен занять одну свою ячейку прямоугольника, каждая ячейка должна содержать ровно одно выбранное число. Некоторые из $$$n$$$ чисел могут остаться не выбранными.</p><p>Прямоугольник (прямоугольная матрица) называется красивым, если в каждой строке и в каждом столбце все значения различны.</p><p>Какой наибольший по площади (суммарному количеству ячеек) красивый прямоугольник можно сложить? Выведите и сам прямоугольник.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$). Во второй строке записаны $$$n$$$ целых чисел ($$$1 \le a_i \le 10^9$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первую строку выведите $$$x$$$ ($$$1 \le x \le n$$$) — площадь (суммарное количество ячеек) искомого максимального красивого прямоугольника. Во вторую строку выведите $$$p$$$ и $$$q$$$ ($$$p \cdot q=x$$$) — его размеры. В следующих $$$p$$$ строках выведите сам искомый прямоугольник. Если ответов несколько, выведите любой.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 12 3 1 4 1 5 9 2 6 5 3 5 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 12 3 4 1 2 3 5 3 1 5 4 5 6 8 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 1 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 1 1 </pre></div></div></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="9c1353901309535f93a9fb253202396b"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - F - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="da9a11f1a2c1966eb99e62bcf31bd79d1ebfe0c9"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - F - Codeforces</title> <meta name="description" content="Codeforces. 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Просто зарегистрируйтесь на дорешивание. </div> <div style="text-align:center;margin:1em;"> <form action="" method="post"><input type='hidden' name='csrf_token' value='9c1353901309535f93a9fb253202396b'/> <input type="hidden" name="action" value="registerForPractice"/> <input type="submit" name="submit" value="Зарегистрироваться" style="padding:0 0.5em;"> </form> </div> </div> </div> <div class="roundbox sidebox ContestVirtualFrame borderTopRound " style=""> <div class="caption titled">→ Виртуальное участие <i class="sidebar-caption-icon las la-angle-down"></i> <div class="top-links"> </div> </div> <div style=" " data-page-url="/data/sidebarFrames" > <div style="margin:1em;font-size:0.8em;"> Виртуальное соревнование – это способ прорешать прошедшее соревнование в режиме, максимально близком к участию во время его проведения. Поддерживается только ICPC режим для виртуальных соревнований. Если вы раньше видели эти задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10088:10089" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1277">Задачи</a></li> <li><a href="/contest/1277/submit">Отослать</a></li> <li><a href="/contest/1277/my">Мои посылки</a></li> <li><a href="/contest/1277/status">Статус</a></li> <li><a href="/contest/1277/hacks">Взломы</a></li> <li><a href="/contest/1277/room/1">Комната</a></li> <li><a href="/contest/1277/standings">Положение</a></li> <li><a href="/contest/1277/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_6560e9f274dcadec007f748206d158695022ab98"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Красивый прямоугольник</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Заданы $$$n$$$ чисел. Требуется выбрать поднабор и сложить их в красивый прямоугольник (прямоугольную матрицу). Каждое выбранное число должен занять одну свою ячейку прямоугольника, каждая ячейка должна содержать ровно одно выбранное число. Некоторые из $$$n$$$ чисел могут остаться не выбранными.</p><p>Прямоугольник (прямоугольная матрица) называется красивым, если в каждой строке и в каждом столбце все значения различны.</p><p>Какой наибольший по площади (суммарному количеству ячеек) красивый прямоугольник можно сложить? Выведите и сам прямоугольник.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$). Во второй строке записаны $$$n$$$ целых чисел ($$$1 \le a_i \le 10^9$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первую строку выведите $$$x$$$ ($$$1 \le x \le n$$$) — площадь (суммарное количество ячеек) искомого максимального красивого прямоугольника. Во вторую строку выведите $$$p$$$ и $$$q$$$ ($$$p \cdot q=x$$$) — его размеры. В следующих $$$p$$$ строках выведите сам искомый прямоугольник. Если ответов несколько, выведите любой.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 12 3 1 4 1 5 9 2 6 5 3 5 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 12 3 4 1 2 3 5 3 1 5 4 5 6 8 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 1 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 1 1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 60 * 60); 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1278A	1278	A	ru	A. Хеширование перемешиванием	<div class="problem-statement"><div class="header"><div class="title">A. Хеширование перемешиванием</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Поликарп недавно создал новый веб сервис. Как в любом современном сервисе, в нем есть возможность авторизации. А это автоматически подразумевает угрозы безопасности.</p><p>Поликарп решил сохранять хеш пароля, полученный по следующему алгоритму:</p><ol> <li> получить пароль $$$p$$$, состоящий из строчных латинских букв, и перемешать буквы в нем, чтобы получить $$$p'$$$ ($$$p'$$$ может остаться равным $$$p$$$); </li><li> построить две случайные строки, состоящие из строчных латинских букв, $$$s_1$$$ и $$$s_2$$$ (любая из них может быть пустой); </li><li> полученный хеш $$$h = s_1 + p' + s_2$$$, где сложение — это склеивание строк. </li></ol><p>Например, пусть пароль будет $$$p =$$$ «<span class="tex-font-style-tt">abacaba</span>». Тогда $$$p'$$$ может быть равно «<span class="tex-font-style-tt">aabcaab</span>». Случайные строки $$$s1 =$$$ «<span class="tex-font-style-tt">zyx</span>» и $$$s2 =$$$ «<span class="tex-font-style-tt">kjh</span>». Тогда $$$h =$$$ «<span class="tex-font-style-tt">zyxaabcaabkjh</span>».</p><p>Обратите внимание, что нельзя удалять или добавлять буквы в $$$p$$$, чтобы получить $$$p'$$$, можно только менять их порядок.</p><p>Теперь Поликарп просит вас помочь ему в реализации модуля проверки пароля. По данному паролю $$$p$$$ и хешу $$$h$$$, проверьте, что $$$h$$$ может являться хешом пароля $$$p$$$.</p><p>Вам нужно ответить на $$$t$$$ наборов входных данных.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных.</p><p>В первой строке каждого набора входных данных содержится непустая строка $$$p$$$, состоящая из строчных латинских букв. Длина $$$p$$$ не превышает $$$100$$$.</p><p>В второй строке каждого набора входных данных содержится непустая строка $$$h$$$, состоящая из строчных латинских букв. Длина $$$h$$$ не превышает $$$100$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>На каждый набор входных данных выведите «<span class="tex-font-style-tt">YES</span>», если данный хеш $$$h$$$ может быть получен по данному паролю $$$p$$$, и «<span class="tex-font-style-tt">NO</span>» в противном случае.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 abacaba zyxaabcaabkjh onetwothree threetwoone one zzonneyy one none twenty ten </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES YES NO YES NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый набор входных данных объяснен в условии.</p><p>Во втором наборе входных данных и $$$s_1$$$, и $$$s_2$$$ пусты, а $$$p'=$$$ «<span class="tex-font-style-tt">threetwoone</span>» — это перемешанная $$$p$$$.</p><p>В третьем наборе входных данных хеш нельзя получить из пароля.</p><p>В четвертом наборе входных данных $$$s_1=$$$ «<span class="tex-font-style-tt">n</span>», $$$s_2$$$ пуста, а $$$p'=$$$ «<span class="tex-font-style-tt">one</span>» — это перемешанная $$$p$$$ (даже несмотря на то, что они совпадают).</p><p>В пятом наборе входных данных хеш нельзя получить из пароля.</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="f609f7c5bb295fcfb6a7bb58e0dd2246"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - A - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="adb7f5bbc027c55fa2d7ec5b1056c392fc5e47d2"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - A - Codeforces</title> <meta name="description" content="Codeforces. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72268" title="Educational Codeforces Round 78 [рейтинговый для Div. 2]" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10105:10106" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72330" title="Разбор Educational Codeforces Round 78" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10133:10134" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1278">Задачи</a></li> <li><a href="/contest/1278/submit">Отослать</a></li> <li><a href="/contest/1278/my">Мои посылки</a></li> <li><a href="/contest/1278/status">Статус</a></li> <li><a href="/contest/1278/hacks">Взломы</a></li> <li><a href="/contest/1278/standings">Положение</a></li> <li><a href="/contest/1278/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_c4b39983abbb5238c516132b094397825048a0be"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Хеширование перемешиванием</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Поликарп недавно создал новый веб сервис. Как в любом современном сервисе, в нем есть возможность авторизации. А это автоматически подразумевает угрозы безопасности.</p><p>Поликарп решил сохранять хеш пароля, полученный по следующему алгоритму:</p><ol> <li> получить пароль $$$p$$$, состоящий из строчных латинских букв, и перемешать буквы в нем, чтобы получить $$$p'$$$ ($$$p'$$$ может остаться равным $$$p$$$); </li><li> построить две случайные строки, состоящие из строчных латинских букв, $$$s_1$$$ и $$$s_2$$$ (любая из них может быть пустой); </li><li> полученный хеш $$$h = s_1 + p' + s_2$$$, где сложение — это склеивание строк. </li></ol><p>Например, пусть пароль будет $$$p =$$$ «<span class="tex-font-style-tt">abacaba</span>». Тогда $$$p'$$$ может быть равно «<span class="tex-font-style-tt">aabcaab</span>». Случайные строки $$$s1 =$$$ «<span class="tex-font-style-tt">zyx</span>» и $$$s2 =$$$ «<span class="tex-font-style-tt">kjh</span>». Тогда $$$h =$$$ «<span class="tex-font-style-tt">zyxaabcaabkjh</span>».</p><p>Обратите внимание, что нельзя удалять или добавлять буквы в $$$p$$$, чтобы получить $$$p'$$$, можно только менять их порядок.</p><p>Теперь Поликарп просит вас помочь ему в реализации модуля проверки пароля. По данному паролю $$$p$$$ и хешу $$$h$$$, проверьте, что $$$h$$$ может являться хешом пароля $$$p$$$.</p><p>Вам нужно ответить на $$$t$$$ наборов входных данных.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных.</p><p>В первой строке каждого набора входных данных содержится непустая строка $$$p$$$, состоящая из строчных латинских букв. Длина $$$p$$$ не превышает $$$100$$$.</p><p>В второй строке каждого набора входных данных содержится непустая строка $$$h$$$, состоящая из строчных латинских букв. Длина $$$h$$$ не превышает $$$100$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>На каждый набор входных данных выведите «<span class="tex-font-style-tt">YES</span>», если данный хеш $$$h$$$ может быть получен по данному паролю $$$p$$$, и «<span class="tex-font-style-tt">NO</span>» в противном случае.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 abacaba zyxaabcaabkjh onetwothree threetwoone one zzonneyy one none twenty ten </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES YES NO YES NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый набор входных данных объяснен в условии.</p><p>Во втором наборе входных данных и $$$s_1$$$, и $$$s_2$$$ пусты, а $$$p'=$$$ «<span class="tex-font-style-tt">threetwoone</span>» — это перемешанная $$$p$$$.</p><p>В третьем наборе входных данных хеш нельзя получить из пароля.</p><p>В четвертом наборе входных данных $$$s_1=$$$ «<span class="tex-font-style-tt">n</span>», $$$s_2$$$ пуста, а $$$p'=$$$ «<span class="tex-font-style-tt">one</span>» — это перемешанная $$$p$$$ (даже несмотря на то, что они совпадают).</p><p>В пятом наборе входных данных хеш нельзя получить из пароля.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); 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1278B	1278	B	ru	B. А и Б	<div class="problem-statement"><div class="header"><div class="title">B. А и Б</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У вас есть два числа $$$a$$$ и $$$b$$$. Вы можете выполнять следующие операции с ними: в качестве первой операции увеличить одно из этих двух чисел на $$$1$$$; в качестве второй — увеличить на $$$2$$$, и так далее. Количество таких операций вы выбираете сами.</p><p>Например, если $$$a = 1$$$ и $$$b = 3$$$, вы можете сделать следующую последовательность из трех операций: </p><ol> <li> добавить $$$1$$$ к $$$a$$$, тогда $$$a = 2$$$ и $$$b = 3$$$; </li><li> добавить $$$2$$$ к $$$b$$$, тогда $$$a = 2$$$ и $$$b = 5$$$; </li><li> добавить $$$3$$$ к $$$a$$$, тогда $$$a = 5$$$ и $$$b = 5$$$. </li></ol><p>Вычислите минимальное количество операций, необходимое для того, чтобы сделать числа $$$a$$$ и $$$b$$$ равными. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных.</p><p>Каждый набор входных данных содержит два числа $$$a$$$ и $$$b$$$ ($$$1 \le a, b \le 10^9$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>На каждый набор входных данных выведите число — минимальное количество операций необходимое для того, чтобы сделать числа $$$a$$$ и $$$b$$$ равными. </p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 1 3 11 11 30 20 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 0 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый набор входных данных разобран в условии.</p><p>Во втором наборе входных данных числа $$$a$$$ и $$$b$$$ равны изначально, а значит вам вообще не нужно выполнять операций.</p><p>В третьем наборе входных данных вам нужно применить первую, вторую, третью и четвертую операции к числу $$$b$$$ ($$$b$$$ превратится в $$$20 + 1 + 2 + 3 + 4 = 30$$$).</p></div></div>	<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"> <html lang="ru"> <head> <meta http-equiv="content-type" content="text/html; charset=UTF-8"> <meta name="X-Csrf-Token" content="87f3bb1f11c28998b3250057cc0ffb2c"/> <meta id="viewport" name="viewport" content="width=device-width, initial-scale=0.01"/> <script type="text/javascript" src="//codeforces.org/s/36819/js/jquery-1.8.3.js"></script> <script type="application/javascript"> window.locale = "ru"; window.standaloneContest = false; function adjustViewport() { var screenWidthPx = Math.min($(window).width(), window.screen.width); var siteWidthPx = 1100; // min width of site var ratio = Math.min(screenWidthPx / siteWidthPx, 1.0); var viewport = "width=device-width, initial-scale=" + ratio; $('#viewport').attr('content', viewport); var style = $('<style>html * { max-height: 1000000px; }</style>'); $('html > head').append(style); } if ( /Android\|webOS\|iPhone\|iPad\|iPod\|BlackBerry/i.test(navigator.userAgent) ) { adjustViewport(); } /* Protection against trailing dot in domain. / let hostLength = window.location.host.length; if (hostLength > 1 && window.location.host[hostLength - 1] === '.') { window.location = window.location.protocol + "//" + window.location.host.substring(0, hostLength - 1); } </script> <meta http-equiv="pragma" content="no-cache"> <meta http-equiv="expires" content="-1"> <meta http-equiv="profileName" content="j3"> <meta name="google-site-verification" content="OTd2dN5x4nS4OPknPI9JFg36fKxjqY0i1PSfFPv_J90"/> <meta property="fb:admins" content="100001352546622" /> <meta property="og:image" content="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <link rel="image_src" href="//codeforces.org/s/36819/images/codeforces-sponsored-by-ton.png" /> <meta property="og:title" content="Задача - B - Codeforces"/> <meta property="og:description" content=""/> <meta property="og:site_name" content="Codeforces"/> <meta name="cc" content="adb7f5bbc027c55fa2d7ec5b1056c392fc5e47d2"/> <meta name="utc_offset" content="+03:00"/> <meta name="verify-reformal" content="f56f99fd7e087fb6ccb48ef2" /> <title>Задача - B - Codeforces</title> <meta name="description" content="Codeforces. 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Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1278/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72268" title="Educational Codeforces Round 78 [рейтинговый для Div. 2]" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10105:10106" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72330" title="Разбор Educational Codeforces Round 78" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10133:10134" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1278">Задачи</a></li> <li><a href="/contest/1278/submit">Отослать</a></li> <li><a href="/contest/1278/my">Мои посылки</a></li> <li><a href="/contest/1278/status">Статус</a></li> <li><a href="/contest/1278/hacks">Взломы</a></li> <li><a href="/contest/1278/standings">Положение</a></li> <li><a href="/contest/1278/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_949b7f6a140d64ee9cc193974d757364b2e2e479"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. А и Б</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У вас есть два числа $$$a$$$ и $$$b$$$. Вы можете выполнять следующие операции с ними: в качестве первой операции увеличить одно из этих двух чисел на $$$1$$$; в качестве второй — увеличить на $$$2$$$, и так далее. Количество таких операций вы выбираете сами.</p><p>Например, если $$$a = 1$$$ и $$$b = 3$$$, вы можете сделать следующую последовательность из трех операций: </p><ol> <li> добавить $$$1$$$ к $$$a$$$, тогда $$$a = 2$$$ и $$$b = 3$$$; </li><li> добавить $$$2$$$ к $$$b$$$, тогда $$$a = 2$$$ и $$$b = 5$$$; </li><li> добавить $$$3$$$ к $$$a$$$, тогда $$$a = 5$$$ и $$$b = 5$$$. </li></ol><p>Вычислите минимальное количество операций, необходимое для того, чтобы сделать числа $$$a$$$ и $$$b$$$ равными. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных.</p><p>Каждый набор входных данных содержит два числа $$$a$$$ и $$$b$$$ ($$$1 \le a, b \le 10^9$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>На каждый набор входных данных выведите число — минимальное количество операций необходимое для того, чтобы сделать числа $$$a$$$ и $$$b$$$ равными. </p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 1 3 11 11 30 20 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 0 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый набор входных данных разобран в условии.</p><p>Во втором наборе входных данных числа $$$a$$$ и $$$b$$$ равны изначально, а значит вам вообще не нужно выполнять операций.</p><p>В третьем наборе входных данных вам нужно применить первую, вторую, третью и четвертую операции к числу $$$b$$$ ($$$b$$$ превратится в $$$20 + 1 + 2 + 3 + 4 = 30$$$).</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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1261A

1261

A

ru

A. Грязно

<div class="problem-statement"><div class="header"><div class="title">A. Грязно</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вы устали от своей грязной комнаты, поэтому вы решили в ней прибраться.</p><p>Ваша комната это скобочная последовательность $$$s=s_{1}s_{2}\dots s_{n}$$$ длины $$$n$$$. Каждый символ этой строки это либо открывающая круглая скобка '<span class="tex-font-style-tt">(</span>', либо закрывающая круглая скобка '<span class="tex-font-style-tt">)</span>'.</p><p>За одну операцию вы можете выбрать любую подстроку строки $$$s$$$ и перевернуть ее. Формально, за одну операцию вы можете выбрать подстроку $$$s[l \dots r]=s_l, s_{l+1}, \dots, s_r$$$ и поменять порядок элементов в ней на $$$s_r, s_{r-1}, \dots, s_{l}$$$.</p><p>Например, если вы захотите перевернуть подстроку $$$s[2 \dots 4]$$$ строки $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">(()</span>))</span>», она станет равна $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">)((</span>))</span>».</p><p><span class="tex-font-style-bf">Правильной</span> скобочной последовательностью называется скобочная последовательность, которую можно преобразовать в корректное арифметическое выражение путем вставок между ее символами символов '<span class="tex-font-style-tt">1</span>' и '<span class="tex-font-style-tt">+</span>'. Например, скобочные последовательности «<span class="tex-font-style-tt">()()</span>», «<span class="tex-font-style-tt">(())</span>» — правильные (полученные выражения: «<span class="tex-font-style-tt">(1)+(1)</span>», «<span class="tex-font-style-tt">((1+1)+1)</span>»), а «<span class="tex-font-style-tt">)(</span>» и «<span class="tex-font-style-tt">(</span>» — нет.</p><p>Префиксом строки $$$s$$$ называется её подстрока, которая начинается с индекса $$$1$$$. Например, для строки $$$s=$$$«<span class="tex-font-style-tt">(())()</span>» есть $$$6$$$ префиксов: «<span class="tex-font-style-tt">(</span>», «<span class="tex-font-style-tt">((</span>», «<span class="tex-font-style-tt">(()</span>», «<span class="tex-font-style-tt">(())</span>», «<span class="tex-font-style-tt">(())(</span>» и «<span class="tex-font-style-tt">(())()</span>».</p><p>По вашему мнению, красивая и чистая комната $$$s$$$ — это такая, что:</p><ul> <li> вся строка $$$s$$$ целиком является <span class="tex-font-style-it">правильной скобочной</span>; </li><li> <span class="tex-font-style-bf">и</span> ровно $$$k$$$ ее префиксов(включая всю строку $$$s$$$) являются правильными скобочными. </li></ul><p>Например, если $$$k = 2$$$, то «<span class="tex-font-style-tt">(())()</span>» это красивая и чистая комната.</p><p>Вы хотите использовать не более $$$n$$$ операций, чтобы сделать вашу комнату красивой и чистой. Операции применяются последовательно, одна за другой.</p><p>Гарантируется, что ответ существует. Обратите внимание, что вам <span class="tex-font-style-bf">не нужно</span> минимизировать количество операций — найдите любой способ достичь требуемой конфигурации за $$$n$$$ или менее операций.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке записаны два целых числа $$$n$$$ и $$$k$$$ ($$$1 \le k \le \frac{n}{2}, 2 \le n \le 2000$$$, $$$n$$$ четно) — длина $$$s$$$ и необходимое количество правильных префиксов.</p><p>Во второй строке записана $$$s$$$ длины $$$n$$$ — данная скобочная последовательность. Все символы строки равны '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'.</p><p>Гарантируется, что в данной строке ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">(</span>' и ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">)</span>'.</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого из наборов входных данных выведите ответ.</p><p>В первой строке выведите число $$$m$$$ ($$$0 \le m \le n$$$) — количество операций. Вам <span class="tex-font-style-bf">не требуется</span> минимизировать $$$m$$$, это число может быть любым.</p><p>В следующих $$$m$$$ строках выведите описания операций, каждая строка должна содержать два целых числа $$$l,r$$$ ($$$1 \le l \le r \le n$$$), описывающих операцию переворота подстроки $$$s[l \dots r]=s_{l}s_{l+1}\dots s_{r}$$$. Операции выполняются последовательно одна за другой.</p><p>Итоговая строка $$$s$$$ после применения всех операций должна быть правильной, ровно $$$k$$$ её префиксов (включая $$$s$$$) должны быть правильными.</p><p>Гарантируется, что ответ существует. Если есть несколько возможных ответов, вы можете вывести любой.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 8 2 ()(())() 10 3 ))()()()(( 2 1 () 2 1 )( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 4 1 1 5 8 2 2 3 4 10 1 4 6 7 0 1 1 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере итоговая последовательность — это «<span class="tex-font-style-tt">()(()())</span>», в которой два префикса корректные, «<span class="tex-font-style-tt">()</span>» и «<span class="tex-font-style-tt">()(()())</span>». Обратите внимание, что все операции кроме «<span class="tex-font-style-tt">5 8</span>» в примере вывода не меняют текущую строку $$$s$$$.</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_0fb597c4299eb3e173765114ff6e5bd47efe1ec4"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Грязно</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вы устали от своей грязной комнаты, поэтому вы решили в ней прибраться.</p><p>Ваша комната это скобочная последовательность $$$s=s_{1}s_{2}\dots s_{n}$$$ длины $$$n$$$. Каждый символ этой строки это либо открывающая круглая скобка '<span class="tex-font-style-tt">(</span>', либо закрывающая круглая скобка '<span class="tex-font-style-tt">)</span>'.</p><p>За одну операцию вы можете выбрать любую подстроку строки $$$s$$$ и перевернуть ее. Формально, за одну операцию вы можете выбрать подстроку $$$s[l \dots r]=s_l, s_{l+1}, \dots, s_r$$$ и поменять порядок элементов в ней на $$$s_r, s_{r-1}, \dots, s_{l}$$$.</p><p>Например, если вы захотите перевернуть подстроку $$$s[2 \dots 4]$$$ строки $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">(()</span>))</span>», она станет равна $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">)((</span>))</span>».</p><p><span class="tex-font-style-bf">Правильной</span> скобочной последовательностью называется скобочная последовательность, которую можно преобразовать в корректное арифметическое выражение путем вставок между ее символами символов '<span class="tex-font-style-tt">1</span>' и '<span class="tex-font-style-tt">+</span>'. Например, скобочные последовательности «<span class="tex-font-style-tt">()()</span>», «<span class="tex-font-style-tt">(())</span>» — правильные (полученные выражения: «<span class="tex-font-style-tt">(1)+(1)</span>», «<span class="tex-font-style-tt">((1+1)+1)</span>»), а «<span class="tex-font-style-tt">)(</span>» и «<span class="tex-font-style-tt">(</span>» — нет.</p><p>Префиксом строки $$$s$$$ называется её подстрока, которая начинается с индекса $$$1$$$. Например, для строки $$$s=$$$«<span class="tex-font-style-tt">(())()</span>» есть $$$6$$$ префиксов: «<span class="tex-font-style-tt">(</span>», «<span class="tex-font-style-tt">((</span>», «<span class="tex-font-style-tt">(()</span>», «<span class="tex-font-style-tt">(())</span>», «<span class="tex-font-style-tt">(())(</span>» и «<span class="tex-font-style-tt">(())()</span>».</p><p>По вашему мнению, красивая и чистая комната $$$s$$$ — это такая, что:</p><ul> <li> вся строка $$$s$$$ целиком является <span class="tex-font-style-it">правильной скобочной</span>; </li><li> <span class="tex-font-style-bf">и</span> ровно $$$k$$$ ее префиксов(включая всю строку $$$s$$$) являются правильными скобочными. </li></ul><p>Например, если $$$k = 2$$$, то «<span class="tex-font-style-tt">(())()</span>» это красивая и чистая комната.</p><p>Вы хотите использовать не более $$$n$$$ операций, чтобы сделать вашу комнату красивой и чистой. Операции применяются последовательно, одна за другой.</p><p>Гарантируется, что ответ существует. Обратите внимание, что вам <span class="tex-font-style-bf">не нужно</span> минимизировать количество операций — найдите любой способ достичь требуемой конфигурации за $$$n$$$ или менее операций.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке записаны два целых числа $$$n$$$ и $$$k$$$ ($$$1 \le k \le \frac{n}{2}, 2 \le n \le 2000$$$, $$$n$$$ четно) — длина $$$s$$$ и необходимое количество правильных префиксов.</p><p>Во второй строке записана $$$s$$$ длины $$$n$$$ — данная скобочная последовательность. Все символы строки равны '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'.</p><p>Гарантируется, что в данной строке ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">(</span>' и ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">)</span>'.</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого из наборов входных данных выведите ответ.</p><p>В первой строке выведите число $$$m$$$ ($$$0 \le m \le n$$$) — количество операций. Вам <span class="tex-font-style-bf">не требуется</span> минимизировать $$$m$$$, это число может быть любым.</p><p>В следующих $$$m$$$ строках выведите описания операций, каждая строка должна содержать два целых числа $$$l,r$$$ ($$$1 \le l \le r \le n$$$), описывающих операцию переворота подстроки $$$s[l \dots r]=s_{l}s_{l+1}\dots s_{r}$$$. Операции выполняются последовательно одна за другой.</p><p>Итоговая строка $$$s$$$ после применения всех операций должна быть правильной, ровно $$$k$$$ её префиксов (включая $$$s$$$) должны быть правильными.</p><p>Гарантируется, что ответ существует. Если есть несколько возможных ответов, вы можете вывести любой.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 8 2 ()(())() 10 3 ))()()()(( 2 1 () 2 1 )( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 4 1 1 5 8 2 2 3 4 10 1 4 6 7 0 1 1 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере итоговая последовательность — это «<span class="tex-font-style-tt">()(()())</span>», в которой два префикса корректные, «<span class="tex-font-style-tt">()</span>» и «<span class="tex-font-style-tt">()(()())</span>». Обратите внимание, что все операции кроме «<span class="tex-font-style-tt">5 8</span>» в примере вывода не меняют текущую строку $$$s$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "*1700"]

https://codeforces.com/blog/entry/71740

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class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261B1

1261

B1

ru

B1. Оптимальные подпоследовательности (упрощённая версия)

<div class="problem-statement"><div class="header"><div class="title">B1. Оптимальные подпоследовательности (упрощённая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n, m \le 100$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 100$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 100$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B1" data-uuid="ps_e3be4f1f5398769df18a687ffb7eac14988eac03"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B1. Оптимальные подпоследовательности (упрощённая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n, m \le 100$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 100$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 100$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B1]"); 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["\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u043f", "\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*1600"]

https://codeforces.com/blog/entry/71740

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class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261B2

1261

B2

ru

B2. Оптимальные подпоследовательности (усложненная версия)

<div class="problem-statement"><div class="header"><div class="title">B2. Оптимальные подпоследовательности (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n, m \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 2\cdot10^5$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B2" data-uuid="ps_bbfbb3feb59111b50cf83d3ee441b16ae060acca"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B2. Оптимальные подпоследовательности (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n, m \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 2\cdot10^5$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B2]"); 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["\u0411\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438, \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u0438\u044f", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0431\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*1800"]

https://codeforces.com/blog/entry/71740

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class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261C

1261

C

ru

C. Поджог в лесу Берляндии

<div class="problem-statement"><div class="header"><div class="title">C. Поджог в лесу Берляндии</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Представим лес Берляндии как бесконечное клеточное поле. В каждой клетке растет дерево. Или росло, до недавних событий.</p><p>Разрушительный огонь бушевал в лесу и уничтожил несколько деревьев. У вас есть прямоугольная карта $$$n \times m$$$, которая описывает поврежденную часть леса. Сожженные деревья отмечены на карте как «<span class="tex-font-style-tt">X</span>», в то время как остальные отмечены как «<span class="tex-font-style-tt">.</span>». <span class="tex-font-style-bf">Вы можете быть уверены, что все поврежденные деревья отмечены на карте. Все деревья за пределами карты — не повреждены.</span></p><p>Пожарные быстро потушили огонь, и теперь расследуют данный инцидент. Основная версия — это поджог: в какой-то момент времени (примем этот момент за $$$0$$$) несколько деревьев были подожжены. В начале минуты $$$0$$$ горели только подожженные деревья. В конце каждой минуты огонь распространяется от горящего дерева к $$$8$$$ соседним к нему деревьям. В начале минуты $$$T$$$ огонь был потушен.</p><p>Пожарные хотят найти поджигателей так быстро как это возможно. Но проблема в том, что они не знают ни значение $$$T$$$ (как долго бушевал пожар), ни местоположение деревьев, которые были подожжены. Они хотят, чтобы вы определили максимальное значение $$$T$$$ (чтобы узнать, сколько времени в запасе у поджигателей) и возможное множество деревьев, которые были подожжены.</p><p>Заметим, что вы хотите максимизировать значение $$$T$$$, но множество деревьев может быть произвольным.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке заданы два целых числа $$$n$$$ и $$$m$$$ ($$$1 \le n, m \le 10^6$$$, $$$1 \le n \cdot m \le 10^6$$$) — размеры карты.</p><p>В следующих $$$n$$$ строках задана карта. Строка $$$i$$$ соответствует $$$i$$$-й строке карты и содержит строку из $$$m$$$ символов. $$$j$$$-й символ $$$i$$$-й строки либо «<span class="tex-font-style-tt">X</span>», если соответствующее дерево сгорело, либо «<span class="tex-font-style-tt">.</span>» — если осталось в целости.</p><p>Гарантируется, что карта содержит хотя бы один «<span class="tex-font-style-tt">X</span>».</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите единственное число $$$T$$$ — максимальное время, которое мог гореть лес. В следующих $$$n$$$ строках выведите сертификат: карту (прямоугольник $$$n \times m$$$), на которой подожженные деревья отмечены как «<span class="tex-font-style-tt">X</span>», а оставшиеся как «<span class="tex-font-style-tt">.</span>».</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 XXXXXX XXXXXX XXXXXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 ...... .X.XX. ...... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 10 .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. .......... </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 .......... .......... ...XX..... .......... .......... .......... .....XX... .......... .......... .......... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 5 X.... ..XXX ..XXX ..XXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 X.... ..XXX ..XXX ..XXX </pre></div></div></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; if (!pre) { s = s.replace(/\s+/g, " "); } if (s.length > 0) { result.push(s); } } if (pre && node.tagName === "BR") { result.push("\n"); } node.childNodes.forEach(function (child) { result.push(nodeToText(child, node.tagName === "PRE").join("")); }); if (node.tagName === "DIV" || node.tagName === "P" || node.tagName === "PRE" || node.tagName === "UL" || node.tagName === "LI" ) { result.push("\n"); } if (node.tagName === "NOBR") { result.push(CLOSING_SPACE); } return result; } const isSpecial = function (c) { return c === ',' || c === '.' || c === ';' || c === ')' || c === ' '; } const convertStatementToText = function(statmentNode) { const text = nodeToText(statmentNode, false).join("").replace(/ +/g, " ").replace(/\n\n+/g, "\n\n"); let result = []; for (let i = 0; i < text.length; i++) { const c = text.charAt(i); if (c === OPENING_SPACE) { if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) { result.push('+'); } } else if (c === CLOSING_SPACE) { if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) { result.push('-'); } } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_e6e8b9ace4d31a6e44e7f86777de27f39dbd3d1a"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Поджог в лесу Берляндии</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Представим лес Берляндии как бесконечное клеточное поле. В каждой клетке растет дерево. Или росло, до недавних событий.</p><p>Разрушительный огонь бушевал в лесу и уничтожил несколько деревьев. У вас есть прямоугольная карта $$$n \times m$$$, которая описывает поврежденную часть леса. Сожженные деревья отмечены на карте как «<span class="tex-font-style-tt">X</span>», в то время как остальные отмечены как «<span class="tex-font-style-tt">.</span>». <span class="tex-font-style-bf">Вы можете быть уверены, что все поврежденные деревья отмечены на карте. Все деревья за пределами карты — не повреждены.</span></p><p>Пожарные быстро потушили огонь, и теперь расследуют данный инцидент. Основная версия — это поджог: в какой-то момент времени (примем этот момент за $$$0$$$) несколько деревьев были подожжены. В начале минуты $$$0$$$ горели только подожженные деревья. В конце каждой минуты огонь распространяется от горящего дерева к $$$8$$$ соседним к нему деревьям. В начале минуты $$$T$$$ огонь был потушен.</p><p>Пожарные хотят найти поджигателей так быстро как это возможно. Но проблема в том, что они не знают ни значение $$$T$$$ (как долго бушевал пожар), ни местоположение деревьев, которые были подожжены. Они хотят, чтобы вы определили максимальное значение $$$T$$$ (чтобы узнать, сколько времени в запасе у поджигателей) и возможное множество деревьев, которые были подожжены.</p><p>Заметим, что вы хотите максимизировать значение $$$T$$$, но множество деревьев может быть произвольным.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке заданы два целых числа $$$n$$$ и $$$m$$$ ($$$1 \le n, m \le 10^6$$$, $$$1 \le n \cdot m \le 10^6$$$) — размеры карты.</p><p>В следующих $$$n$$$ строках задана карта. Строка $$$i$$$ соответствует $$$i$$$-й строке карты и содержит строку из $$$m$$$ символов. $$$j$$$-й символ $$$i$$$-й строки либо «<span class="tex-font-style-tt">X</span>», если соответствующее дерево сгорело, либо «<span class="tex-font-style-tt">.</span>» — если осталось в целости.</p><p>Гарантируется, что карта содержит хотя бы один «<span class="tex-font-style-tt">X</span>».</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите единственное число $$$T$$$ — максимальное время, которое мог гореть лес. В следующих $$$n$$$ строках выведите сертификат: карту (прямоугольник $$$n \times m$$$), на которой подожженные деревья отмечены как «<span class="tex-font-style-tt">X</span>», а оставшиеся как «<span class="tex-font-style-tt">.</span>».</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 XXXXXX XXXXXX XXXXXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 ...... .X.XX. ...... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 10 .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. .......... </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 .......... .......... ...XX..... .......... .......... .......... .....XX... .......... .......... .......... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 5 X.... ..XXX ..XXX ..XXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 X.... ..XXX ..XXX ..XXX </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); 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["\u0431\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u0433\u0440\u0430\u0444\u044b", "\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u0440\u0430\u0442\u0447\u0430\u0439\u0448\u0438\u0435 \u043f\u0443\u0442\u0438", "\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "\u043f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u043e\u0435", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*2200"]

https://codeforces.com/blog/entry/71740

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adedalic">adedalic</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261C">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D1" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D1 - Wrong Answer on test 233 (Easy Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D2 - Wrong Answer on test 233 (Hard Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 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src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261D1

1261

D1

ru

D1. Неправильный ответ на тесте 233 (упрощенная версия)

<div class="problem-statement"><div class="header"><div class="title">D1. Неправильный ответ на тесте 233 (упрощенная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n \le 2000$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2000$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D1" data-uuid="ps_74d1971b6a2da6412d6074547db028826ce4a977"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D1. Неправильный ответ на тесте 233 (упрощенная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n \le 2000$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2000$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D1]"); 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["\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u041a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u043f", "\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "*2200"]

https://codeforces.com/blog/entry/71740

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adedalic">adedalic</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261C">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D1" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D1 - Wrong Answer on test 233 (Easy Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D2 - Wrong Answer on test 233 (Hard Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 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src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261D2

1261

D2

ru

D2. Неправильный ответ на тесте 233 (усложненная версия)

<div class="problem-statement"><div class="header"><div class="title">D2. Неправильный ответ на тесте 233 (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2\cdot10^5$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 2 1 1 2 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 16 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D2" data-uuid="ps_8d3aaa01be8e9fad6539f30be92e1d8164edf3f3"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D2. Неправильный ответ на тесте 233 (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2\cdot10^5$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 2 1 1 2 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 16 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D2]"); 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["\u0411\u044b\u0441\u0442\u0440\u043e\u0435 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u0424\u0443\u0440\u044c\u0435", "\u041a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0422\u0435\u043e\u0440\u0438\u044f \u0447\u0438\u0441\u0435\u043b: \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u042d\u0439\u043b\u0435\u0440\u0430, \u041d\u041e\u0414, \u0434\u0435\u043b\u0438\u043c\u043e\u0441\u0442\u044c \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0431\u043f\u0444", "\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u0442\u0435\u043e\u0440\u0438\u044f \u0447\u0438\u0441\u0435\u043b", "*2400"]

https://codeforces.com/blog/entry/71740

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adedalic">adedalic</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261C">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D1" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D1 - Wrong Answer on test 233 (Easy Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D2 - Wrong Answer on test 233 (Hard Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 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src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261E

1261

E

ru

E. Не равны

<div class="problem-statement"><div class="header"><div class="title">E. Не равны</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задан массив целых чисел $$$a_1, a_2, \dots, a_n$$$, где $$$a_i$$$ означает количество блоков на $$$i$$$-й позиции. Гарантируется, что $$$1 \le a_i \le n$$$. </p><p>За одну операцию вы можете выбрать любое подмножество индексов и убрать один блок на каждой позиции в выбранном подмножестве. Вы не можете убрать блок с позиции, на которой уже нет блоков.</p><p>Все подмножества которые вы выбираете должны быть различными (уникальными).</p><p>Вам необходимо удалить все блоки за не более чем $$$n+1$$$ операцию. Можно доказать, что ответ всегда существует.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \le n \le 10^3$$$) — длина данного массива.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le n$$$) — количество блоков на позициях $$$1, 2, \dots, n$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите целое число $$$op$$$ ($$$0 \le op \le n+1$$$).</p><p>В каждой из следующих $$$op$$$ строк выведите бинарную строку $$$s$$$ длины $$$n$$$. Если $$$s_i=$$$'<span class="tex-font-style-tt">0</span>', это означает, что позиция $$$i$$$ не находится в выбранном подмножестве. Иначе, $$$s_i$$$ должно быть равно '<span class="tex-font-style-tt">1</span>', и позиция $$$i$$$ находится в выбранном подмножестве.</p><p>Все строки должны быть различными и $$$a_i$$$ должно быть равно сумме $$$s_i$$$ по всем выбранным бинарным строкам.</p><p>Если есть несколько возможных ответов, вы можете вывести любой.</p><p>Гарантируется, что ответ существует.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 5 5 5 5 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 11111 01111 10111 11011 11101 11110 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 11000 10000 10100 10010 10001 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 4 1 5 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 11111 10111 10101 00111 10100 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере количество блоков уменьшается следующим образом:</p><p>$$$\lbrace 5,5,5,5,5 \rbrace \to \lbrace 4,4,4,4,4 \rbrace \to \lbrace 4,3,3,3,3 \rbrace \to \lbrace 3,3,2,2,2 \rbrace \to \lbrace 2,2,2,1,1 \rbrace \to \lbrace 1,1,1,1,0 \rbrace \to \lbrace 0,0,0,0,0 \rbrace$$$. Можно заметить, что все эти операции отличаются друг от друга.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_b6f37c1caf537520e927b278dbd4e24d8718a97f"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Не равны</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задан массив целых чисел $$$a_1, a_2, \dots, a_n$$$, где $$$a_i$$$ означает количество блоков на $$$i$$$-й позиции. Гарантируется, что $$$1 \le a_i \le n$$$. </p><p>За одну операцию вы можете выбрать любое подмножество индексов и убрать один блок на каждой позиции в выбранном подмножестве. Вы не можете убрать блок с позиции, на которой уже нет блоков.</p><p>Все подмножества которые вы выбираете должны быть различными (уникальными).</p><p>Вам необходимо удалить все блоки за не более чем $$$n+1$$$ операцию. Можно доказать, что ответ всегда существует.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \le n \le 10^3$$$) — длина данного массива.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le n$$$) — количество блоков на позициях $$$1, 2, \dots, n$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите целое число $$$op$$$ ($$$0 \le op \le n+1$$$).</p><p>В каждой из следующих $$$op$$$ строк выведите бинарную строку $$$s$$$ длины $$$n$$$. Если $$$s_i=$$$'<span class="tex-font-style-tt">0</span>', это означает, что позиция $$$i$$$ не находится в выбранном подмножестве. Иначе, $$$s_i$$$ должно быть равно '<span class="tex-font-style-tt">1</span>', и позиция $$$i$$$ находится в выбранном подмножестве.</p><p>Все строки должны быть различными и $$$a_i$$$ должно быть равно сумме $$$s_i$$$ по всем выбранным бинарным строкам.</p><p>Если есть несколько возможных ответов, вы можете вывести любой.</p><p>Гарантируется, что ответ существует.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 5 5 5 5 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 11111 01111 10111 11011 11101 11110 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 11000 10000 10100 10010 10001 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 4 1 5 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 11111 10111 10101 00111 10100 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере количество блоков уменьшается следующим образом:</p><p>$$$\lbrace 5,5,5,5,5 \rbrace \to \lbrace 4,4,4,4,4 \rbrace \to \lbrace 4,3,3,3,3 \rbrace \to \lbrace 3,3,2,2,2 \rbrace \to \lbrace 2,2,2,1,1 \rbrace \to \lbrace 1,1,1,1,0 \rbrace \to \lbrace 0,0,0,0,0 \rbrace$$$. Можно заметить, что все эти операции отличаются друг от друга.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "*2600"]

https://codeforces.com/blog/entry/71740

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class="roundbox sidebox top-contributed borderTopRound " style=""> <div class="caption titled">→ Top rated <div class="top-links"> </div> </div> <table class="rtable "> <tbody> <tr> <th class="left" style="width:2.25em;">#</th> <th class="">User</th> <th class="" style="width:5em;">Rating</th> </tr> <tr> <td class="left dark">1</td> <td class=" dark"><a href="/profile/tourist" title="Legendary Grandmaster tourist" class="rated-user user-legendary"><span class="legendary-user-first-letter">t</span>ourist</a></td> <td class=" dark">3775</td> </tr> <tr> <td class="left ">2</td> <td class=""><a href="/profile/Benq" title="Legendary Grandmaster Benq" class="rated-user user-legendary"><span class="legendary-user-first-letter">B</span>enq</a></td> <td class="">3724</td> </tr> <tr> <td class="left dark">3</td> <td class=" dark"><a href="/profile/orzdevinwang" title="Legendary Grandmaster orzdevinwang" class="rated-user user-legendary"><span class="legendary-user-first-letter">o</span>rzdevinwang</a></td> <td class=" dark">3697</td> </tr> <tr> <td class="left ">4</td> <td class=""><a href="/profile/Radewoosh" title="Legendary Grandmaster Radewoosh" class="rated-user user-legendary"><span class="legendary-user-first-letter">R</span>adewoosh</a></td> <td class="">3651</td> </tr> <tr> <td class="left dark">5</td> <td class=" dark"><a href="/profile/jiangly" title="Legendary Grandmaster jiangly" class="rated-user user-legendary"><span class="legendary-user-first-letter">j</span>iangly</a></td> <td class=" dark">3632</td> </tr> <tr> <td class="left ">6</td> <td class=""><a href="/profile/cnnfls_csy" title="Legendary Grandmaster cnnfls_csy" class="rated-user user-legendary"><span class="legendary-user-first-letter">c</span>nnfls_csy</a></td> <td class="">3620</td> </tr> <tr> <td class="left dark">7</td> <td class=" dark"><a href="/profile/-0.5" title="Legendary Grandmaster -0.5" class="rated-user user-legendary"><span 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<div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1261" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <script type="text/javascript"> $(document).ready(function () { $(".delete-resource-link-105400-72270").click(function() { var that = this; Codeforces.confirm("Are you sure you want to detach a contest?", function () { $.post("/data/blogAndContest", { action: "detachBlogFromContest", blogId: "105400", blogEntryId: "71740", contestId: $(that).attr("data-contestId"), resourceIds: $(that).attr("data-resourceIds") }, function(json) { Codeforces.reloadAndShowMessageOrShowError(json, "Contest detached"); }); }, function () {}, "Yes", "No"); }); }); </script> <div style="font-size: 1.1rem;line-height: 11px;"> <img style="vertical-align: middle;" src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" /></a> </li> </ul> </div> <span style="position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;"> </span> <div class="right-meta"> <ul> <li> <a href="/profile/mystery"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/user_16x16.png" alt="Author" title="Author" /></a> <a href="/profile/mystery"> mystery </a> </li> <li> <img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/date_16x16.png" alt="Publication date" title="Publication date" /> <span class="format-humantime" title="Nov/26/2019 08:26">4 years ago</span> </li> <li> <a href="/blog/entry/71740#comments"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/comments_16x16.png" alt="Comments" title="Comments" /></a> <a href="/blog/entry/71740#comments"> 60 </a> </li> </ul> </div> <br style="clear:both;"/> </div> <style type="text/css"> .comments .title { float: left; } .comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1261F

1261

F

ru

F. Xor-множество

<div class="problem-statement"><div class="header"><div class="title">F. Xor-множество</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам заданы два множества: $$$A$$$ и $$$B$$$. Найдите сумму элементов в множестве $$$C = \{x | x = a \oplus b, a \in A, b \in B\}$$$, по модулю $$$998244353$$$, где $$$\oplus$$$ означает операцию <a href="https://en.wikipedia.org/wiki/Bitwise_operation#XOR">побитовое исключающее ИЛИ</a>. Каждое число должно быть посчитано ровно один раз.</p><p>Например, если $$$A = \{2, 3\}$$$ и $$$B = \{2, 3\}$$$ вы должны учесть число $$$1$$$ только один раз, несмотря на то, что вы можете получить его как $$$3 \oplus 2$$$ и как $$$2 \oplus 3$$$. Таким образом, ответ в этом случае будет равен $$$1 + 0 = 1$$$.</p><p>Будем называть отрезком $$$[l; r]$$$ множество целых чисел вида $$$\{l, l+1, \dots, r\}$$$.</p><p>Множество $$$A$$$ задано объединением $$$n_A$$$ отрезков, множество $$$B$$$ задано объединением $$$n_B$$$ отрезков.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n_A$$$ ($$$1 \le n_A \le 100$$$).</p><p>В $$$i$$$-й из следующих $$$n_A$$$ строк записаны два целых числа $$$l_i$$$ и $$$r_i$$$ ($$$1 \le l_i \le r_i \le 10^{18}$$$), описывающих отрезок значений из множества $$$A$$$.</p><p>Во второй строке записано целое число $$$n_B$$$ ($$$1 \le n_B \le 100$$$).</p><p>В $$$i$$$-й из следующих $$$n_B$$$ строк записаны два целых числа $$$l_j$$$ и $$$r_j$$$ ($$$1 \le l_j \le r_j \le 10^{18}$$$), описывающих отрезок значений из множества $$$B$$$.</p><p>Обратите внимание, что отрезки в описаниях обоих множеств могут пересекаться.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число, сумму элементов в множестве $$$C = \{x | x = a \oplus b, a \in A, b \in B\}$$$ по модулю $$$998244353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 3 5 5 8 3 1 2 1 9 2 9 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 112 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 1 9 2 2 4 2 10 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 120 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере можно заметить, что множество $$$C = \{0,1,\dots,15\}$$$, что означает, что все числа от $$$0$$$ до $$$15$$$ могут быть представлены в виде $$$a \oplus b$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9923:9924" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Tutorial</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9942:9957" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1261">Задачи</a></li> <li><a href="/contest/1261/submit">Отослать</a></li> <li><a href="/contest/1261/my">Мои посылки</a></li> <li><a href="/contest/1261/status">Статус</a></li> <li><a href="/contest/1261/hacks">Взломы</a></li> <li><a href="/contest/1261/room/1">Комната</a></li> <li><a href="/contest/1261/standings">Положение</a></li> <li><a href="/contest/1261/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_6ddd1fde629168d612bfbbcd37e6d624bf18386d"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Xor-множество</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам заданы два множества: $$$A$$$ и $$$B$$$. Найдите сумму элементов в множестве $$$C = \{x | x = a \oplus b, a \in A, b \in B\}$$$, по модулю $$$998244353$$$, где $$$\oplus$$$ означает операцию <a href="https://en.wikipedia.org/wiki/Bitwise_operation#XOR">побитовое исключающее ИЛИ</a>. Каждое число должно быть посчитано ровно один раз.</p><p>Например, если $$$A = \{2, 3\}$$$ и $$$B = \{2, 3\}$$$ вы должны учесть число $$$1$$$ только один раз, несмотря на то, что вы можете получить его как $$$3 \oplus 2$$$ и как $$$2 \oplus 3$$$. Таким образом, ответ в этом случае будет равен $$$1 + 0 = 1$$$.</p><p>Будем называть отрезком $$$[l; r]$$$ множество целых чисел вида $$$\{l, l+1, \dots, r\}$$$.</p><p>Множество $$$A$$$ задано объединением $$$n_A$$$ отрезков, множество $$$B$$$ задано объединением $$$n_B$$$ отрезков.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n_A$$$ ($$$1 \le n_A \le 100$$$).</p><p>В $$$i$$$-й из следующих $$$n_A$$$ строк записаны два целых числа $$$l_i$$$ и $$$r_i$$$ ($$$1 \le l_i \le r_i \le 10^{18}$$$), описывающих отрезок значений из множества $$$A$$$.</p><p>Во второй строке записано целое число $$$n_B$$$ ($$$1 \le n_B \le 100$$$).</p><p>В $$$i$$$-й из следующих $$$n_B$$$ строк записаны два целых числа $$$l_j$$$ и $$$r_j$$$ ($$$1 \le l_j \le r_j \le 10^{18}$$$), описывающих отрезок значений из множества $$$B$$$.</p><p>Обратите внимание, что отрезки в описаниях обоих множеств могут пересекаться.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число, сумму элементов в множестве $$$C = \{x | x = a \oplus b, a \in A, b \in B\}$$$ по модулю $$$998244353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 3 5 5 8 3 1 2 1 9 2 9 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 112 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 1 9 2 2 4 2 10 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 120 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере можно заметить, что множество $$$C = \{0,1,\dots,15\}$$$, что означает, что все числа от $$$0$$$ до $$$15$$$ могут быть представлены в виде $$$a \oplus b$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); 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["\u0411\u0438\u0442\u043e\u0432\u044b\u0435 \u043c\u0430\u0441\u043a\u0438", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0420\u0430\u0437\u0434\u0435\u043b\u044f\u0439 \u0438 \u0432\u043b\u0430\u0441\u0442\u0432\u0443\u0439", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0431\u0438\u0442\u043c\u0430\u0441\u043a\u0438", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u0440\u0430\u0437\u0434\u0435\u043b\u044f\u0439 \u0438 \u0432\u043b\u0430\u0441\u0442\u0432\u0443\u0439", "*3100"]

https://codeforces.com/blog/entry/71740

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class="roundbox sidebox top-contributed borderTopRound " style=""> <div class="caption titled">→ Top rated <div class="top-links"> </div> </div> <table class="rtable "> <tbody> <tr> <th class="left" style="width:2.25em;">#</th> <th class="">User</th> <th class="" style="width:5em;">Rating</th> </tr> <tr> <td class="left dark">1</td> <td class=" dark"><a href="/profile/tourist" title="Legendary Grandmaster tourist" class="rated-user user-legendary"><span class="legendary-user-first-letter">t</span>ourist</a></td> <td class=" dark">3775</td> </tr> <tr> <td class="left ">2</td> <td class=""><a href="/profile/Benq" title="Legendary Grandmaster Benq" class="rated-user user-legendary"><span class="legendary-user-first-letter">B</span>enq</a></td> <td class="">3724</td> </tr> <tr> <td class="left dark">3</td> <td class=" dark"><a href="/profile/orzdevinwang" title="Legendary Grandmaster orzdevinwang" class="rated-user user-legendary"><span class="legendary-user-first-letter">o</span>rzdevinwang</a></td> <td class=" dark">3697</td> </tr> <tr> <td class="left ">4</td> <td class=""><a href="/profile/Radewoosh" title="Legendary Grandmaster Radewoosh" class="rated-user user-legendary"><span class="legendary-user-first-letter">R</span>adewoosh</a></td> <td class="">3651</td> </tr> <tr> <td class="left dark">5</td> <td class=" dark"><a href="/profile/jiangly" title="Legendary Grandmaster jiangly" class="rated-user user-legendary"><span class="legendary-user-first-letter">j</span>iangly</a></td> <td class=" dark">3632</td> </tr> <tr> <td class="left ">6</td> <td class=""><a href="/profile/cnnfls_csy" title="Legendary Grandmaster cnnfls_csy" class="rated-user user-legendary"><span class="legendary-user-first-letter">c</span>nnfls_csy</a></td> <td class="">3620</td> </tr> <tr> <td class="left dark">7</td> <td class=" dark"><a href="/profile/-0.5" title="Legendary Grandmaster -0.5" class="rated-user user-legendary"><span 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<div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1261" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <script type="text/javascript"> $(document).ready(function () { $(".delete-resource-link-105400-72270").click(function() { var that = this; Codeforces.confirm("Are you sure you want to detach a contest?", function () { $.post("/data/blogAndContest", { action: "detachBlogFromContest", blogId: "105400", blogEntryId: "71740", contestId: $(that).attr("data-contestId"), resourceIds: $(that).attr("data-resourceIds") }, function(json) { Codeforces.reloadAndShowMessageOrShowError(json, "Contest detached"); }); }, function () {}, "Yes", "No"); }); }); </script> <div style="font-size: 1.1rem;line-height: 11px;"> <img style="vertical-align: middle;" src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" /></a> </li> </ul> </div> <span style="position: relative; line-height: 1.65em; top: 0.75rem; left: 0.8em;"> </span> <div class="right-meta"> <ul> <li> <a href="/profile/mystery"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/user_16x16.png" alt="Author" title="Author" /></a> <a href="/profile/mystery"> mystery </a> </li> <li> <img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/date_16x16.png" alt="Publication date" title="Publication date" /> <span class="format-humantime" title="Nov/26/2019 08:26">4 years ago</span> </li> <li> <a href="/blog/entry/71740#comments"><img style="vertical-align:middle;position:relative;top:-1px" src="//codeforces.org/s/81027/images/blog/comments_16x16.png" alt="Comments" title="Comments" /></a> <a href="/blog/entry/71740#comments"> 60 </a> </li> </ul> </div> <br style="clear:both;"/> </div> <style type="text/css"> .comments .title { float: left; } .comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262A

1262

A

ru

A. Математическая задача

<div class="problem-statement"><div class="header"><div class="title">A. Математическая задача</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Ваш учитель по математике задал вам следующую задачку:</p><p>Есть $$$n$$$ отрезков на оси (прямой) $$$x$$$, $$$[l_1; r_1], [l_2; r_2], \ldots, [l_n; r_n]$$$. Отрезок $$$[l; r]$$$ включает свои границы, то есть это множество таких $$$x$$$, что $$$l \le x \le r$$$. Длина отрезка $$$[l; r]$$$ равна $$$r - l$$$.</p><p>Два отрезка $$$[a; b]$$$ и $$$[c; d]$$$ имеют общую точку (пересекаются), если найдется такое $$$x$$$, что $$$a \leq x \leq b$$$ и $$$c \leq x \leq d$$$. Например, отрезки $$$[2; 5]$$$ и $$$[3; 10]$$$ имеют общую точку, но отрезки $$$[5; 6]$$$ и $$$[1; 4]$$$ — не имеют.</p><p>Вам требуется добавить один отрезок, который имеет хотя бы одну общую точку с каждым данным отрезком, и имеет как можно меньшую длину. Искомый отрезок может вырождаться в точку (то есть быть отрезком длины ноль). Искомый отрезок может как быть, так и не быть среди заданных $$$n$$$ отрезков.</p><p>Другими словами, вам нужно найти такой отрезок $$$[a; b]$$$, что $$$[a; b]$$$ и $$$[l_i; r_i]$$$ имеют общую точку для всех $$$i$$$, и при этом значение $$$b-a$$$ минимально.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке набора входных данных содержится одно целое число $$$n$$$ ($$$1 \le n \le 10^{5}$$$) — количество отрезков. Следующие $$$n$$$ строк содержат описания отрезков — $$$i$$$-я из них содержит два целых числа $$$l_i,r_i$$$ ($$$1 \le l_i \le r_i \le 10^{9}$$$).</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого из наборов входных данных выведите одно целое число — минимальную длину отрезка, который имеет хотя бы одну общую точку с каждым из данных отрезков.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 4 5 5 9 7 7 5 11 19 4 17 16 16 3 12 14 17 1 1 10 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 4 0 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, можно взять отрезок $$$[5;7]$$$ как ответ. Это самый короткий отрезок, который имеет хотя бы одну общую точку со всеми данными.</p></div></div>

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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1262/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_07a68e522f70d179f78dc0558be400514c56c3ce"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Математическая задача</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Ваш учитель по математике задал вам следующую задачку:</p><p>Есть $$$n$$$ отрезков на оси (прямой) $$$x$$$, $$$[l_1; r_1], [l_2; r_2], \ldots, [l_n; r_n]$$$. Отрезок $$$[l; r]$$$ включает свои границы, то есть это множество таких $$$x$$$, что $$$l \le x \le r$$$. Длина отрезка $$$[l; r]$$$ равна $$$r - l$$$.</p><p>Два отрезка $$$[a; b]$$$ и $$$[c; d]$$$ имеют общую точку (пересекаются), если найдется такое $$$x$$$, что $$$a \leq x \leq b$$$ и $$$c \leq x \leq d$$$. Например, отрезки $$$[2; 5]$$$ и $$$[3; 10]$$$ имеют общую точку, но отрезки $$$[5; 6]$$$ и $$$[1; 4]$$$ — не имеют.</p><p>Вам требуется добавить один отрезок, который имеет хотя бы одну общую точку с каждым данным отрезком, и имеет как можно меньшую длину. Искомый отрезок может вырождаться в точку (то есть быть отрезком длины ноль). Искомый отрезок может как быть, так и не быть среди заданных $$$n$$$ отрезков.</p><p>Другими словами, вам нужно найти такой отрезок $$$[a; b]$$$, что $$$[a; b]$$$ и $$$[l_i; r_i]$$$ имеют общую точку для всех $$$i$$$, и при этом значение $$$b-a$$$ минимально.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке набора входных данных содержится одно целое число $$$n$$$ ($$$1 \le n \le 10^{5}$$$) — количество отрезков. Следующие $$$n$$$ строк содержат описания отрезков — $$$i$$$-я из них содержит два целых числа $$$l_i,r_i$$$ ($$$1 \le l_i \le r_i \le 10^{9}$$$).</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого из наборов входных данных выведите одно целое число — минимальную длину отрезка, который имеет хотя бы одну общую точку с каждым из данных отрезков.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 4 5 5 9 7 7 5 11 19 4 17 16 16 3 12 14 17 1 1 10 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 4 0 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, можно взять отрезок $$$[5;7]$$$ как ответ. 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "*1100"]

https://codeforces.com/blog/entry/71740

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adedalic">adedalic</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261C">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D1" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D1 - Wrong Answer on test 233 (Easy Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D2 - Wrong Answer on test 233 (Hard Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 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src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262B

1262

B

ru

B. Коробка

<div class="problem-statement"><div class="header"><div class="title">B. Коробка</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Перестановка</span> $$$p$$$ — это последовательность целых чисел $$$p=[p_1, p_2, \dots, p_n]$$$, которая состоит из $$$n$$$ различных положительных целых чисел от $$$1$$$ до $$$n$$$. Например, следующие последовательности являются перестановками — $$$[3, 4, 1, 2]$$$, $$$[1]$$$, $$$[1, 2]$$$. Следующие последовательности не являются перестановками — $$$[0]$$$, $$$[1, 2, 1]$$$, $$$[2, 3]$$$, $$$[0, 1, 2]$$$.</p><p>Важный ключ спрятан в закрытой коробке, которую вам нужно открыть. Чтобы открыть коробку вам нужно ввести секретный ключ. Секретный ключ это перестановка $$$p$$$ длины $$$n$$$. </p><p>Эту перестановку вы не знаете, вы знаете только массив $$$q$$$ префиксных максимумов этой перестановки. Формально:</p><ul> <li> $$$q_1=p_1$$$, </li><li> $$$q_2=\max(p_1, p_2)$$$, </li><li> $$$q_3=\max(p_1, p_2,p_3)$$$, </li><li> ... </li><li> $$$q_n=\max(p_1, p_2,\dots,p_n)$$$. </li></ul><p>Вы хотите построить любую возможную исходную перестановку, которая согласуется с заданным массивом. Другими словами, найдите любую перестановку, что $$$q$$$ для этой перестановки равен данному массиву.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке описания набора входных данных записано одно целое число $$$n$$$ $$$(1 \le n \le 10^{5})$$$ — количество элементов в перестановке-секретном коде $$$p$$$.</p><p>Во второй строке описания набора входных данных записаны $$$n$$$ целых чисел, $$$q_1, q_2, \dots, q_n$$$ $$$(1 \le q_i \le n)$$$: элементы массива $$$q$$$ для данной перестановки. Гарантируется, что $$$q_i \le q_{i+1}$$$ для всех $$$i$$$ ($$$1 \le i < n$$$).</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого набора входных данных выведите:</p><ul> <li> Если невозможно найти подходящую перестановку $$$p$$$, выведите «<span class="tex-font-style-tt">-1</span>» (без кавычек). </li><li> Иначе, выведите $$$n$$$ различных целых чисел, $$$p_1, p_2, \dots, p_n$$$ ($$$1 \le p_i \le n$$$). Если для набора входных данных есть несколько возможных ответов, вы можете вывести любой. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 5 1 3 4 5 5 4 1 1 3 4 2 2 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 3 4 5 2 -1 2 1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных примера $$$[1,3,4,5,2]$$$ это единственный возможный ответ.</p><ul> <li> $$$q_{1} = p_{1} = 1$$$; </li><li> $$$q_{2} = \max(p_{1}, p_{2}) = 3$$$; </li><li> $$$q_{3} = \max(p_{1}, p_{2}, p_{3}) = 4$$$; </li><li> $$$q_{4} = \max(p_{1}, p_{2}, p_{3}, p_{4}) = 5$$$; </li><li> $$$q_{5} = \max(p_{1}, p_{2}, p_{3}, p_{4}, p_{5}) = 5$$$. </li></ul><p>Можно доказать, что для второго набора входных данных примера не существует ответа.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_763d601a917644c0a0ebe6c71d2d58b3848394b6"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Коробка</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Перестановка</span> $$$p$$$ — это последовательность целых чисел $$$p=[p_1, p_2, \dots, p_n]$$$, которая состоит из $$$n$$$ различных положительных целых чисел от $$$1$$$ до $$$n$$$. Например, следующие последовательности являются перестановками — $$$[3, 4, 1, 2]$$$, $$$[1]$$$, $$$[1, 2]$$$. Следующие последовательности не являются перестановками — $$$[0]$$$, $$$[1, 2, 1]$$$, $$$[2, 3]$$$, $$$[0, 1, 2]$$$.</p><p>Важный ключ спрятан в закрытой коробке, которую вам нужно открыть. Чтобы открыть коробку вам нужно ввести секретный ключ. Секретный ключ это перестановка $$$p$$$ длины $$$n$$$. </p><p>Эту перестановку вы не знаете, вы знаете только массив $$$q$$$ префиксных максимумов этой перестановки. Формально:</p><ul> <li> $$$q_1=p_1$$$, </li><li> $$$q_2=\max(p_1, p_2)$$$, </li><li> $$$q_3=\max(p_1, p_2,p_3)$$$, </li><li> ... </li><li> $$$q_n=\max(p_1, p_2,\dots,p_n)$$$. </li></ul><p>Вы хотите построить любую возможную исходную перестановку, которая согласуется с заданным массивом. Другими словами, найдите любую перестановку, что $$$q$$$ для этой перестановки равен данному массиву.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке описания набора входных данных записано одно целое число $$$n$$$ $$$(1 \le n \le 10^{5})$$$ — количество элементов в перестановке-секретном коде $$$p$$$.</p><p>Во второй строке описания набора входных данных записаны $$$n$$$ целых чисел, $$$q_1, q_2, \dots, q_n$$$ $$$(1 \le q_i \le n)$$$: элементы массива $$$q$$$ для данной перестановки. Гарантируется, что $$$q_i \le q_{i+1}$$$ для всех $$$i$$$ ($$$1 \le i < n$$$).</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого набора входных данных выведите:</p><ul> <li> Если невозможно найти подходящую перестановку $$$p$$$, выведите «<span class="tex-font-style-tt">-1</span>» (без кавычек). </li><li> Иначе, выведите $$$n$$$ различных целых чисел, $$$p_1, p_2, \dots, p_n$$$ ($$$1 \le p_i \le n$$$). Если для набора входных данных есть несколько возможных ответов, вы можете вывести любой. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 5 1 3 4 5 5 4 1 1 3 4 2 2 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 3 4 5 2 -1 2 1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных примера $$$[1,3,4,5,2]$$$ это единственный возможный ответ.</p><ul> <li> $$$q_{1} = p_{1} = 1$$$; </li><li> $$$q_{2} = \max(p_{1}, p_{2}) = 3$$$; </li><li> $$$q_{3} = \max(p_{1}, p_{2}, p_{3}) = 4$$$; </li><li> $$$q_{4} = \max(p_{1}, p_{2}, p_{3}, p_{4}) = 5$$$; </li><li> $$$q_{5} = \max(p_{1}, p_{2}, p_{3}, p_{4}, p_{5}) = 5$$$. </li></ul><p>Можно доказать, что для второго набора входных данных примера не существует ответа.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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https://codeforces.com/blog/entry/71740

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adedalic">adedalic</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261C">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D1" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D1 - Wrong Answer on test 233 (Easy Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D2 - Wrong Answer on test 233 (Hard Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 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src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262C

1262

C

ru

C. Грязно

<div class="problem-statement"><div class="header"><div class="title">C. Грязно</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вы устали от своей грязной комнаты, поэтому вы решили в ней прибраться.</p><p>Ваша комната это скобочная последовательность $$$s=s_{1}s_{2}\dots s_{n}$$$ длины $$$n$$$. Каждый символ этой строки это либо открывающая круглая скобка '<span class="tex-font-style-tt">(</span>', либо закрывающая круглая скобка '<span class="tex-font-style-tt">)</span>'.</p><p>За одну операцию вы можете выбрать любую подстроку строки $$$s$$$ и перевернуть ее. Формально, за одну операцию вы можете выбрать подстроку $$$s[l \dots r]=s_l, s_{l+1}, \dots, s_r$$$ и поменять порядок элементов в ней на $$$s_r, s_{r-1}, \dots, s_{l}$$$.</p><p>Например, если вы захотите перевернуть подстроку $$$s[2 \dots 4]$$$ строки $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">(()</span>))</span>», она станет равна $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">)((</span>))</span>».</p><p><span class="tex-font-style-bf">Правильной</span> скобочной последовательностью называется скобочная последовательность, которую можно преобразовать в корректное арифметическое выражение путем вставок между ее символами символов '<span class="tex-font-style-tt">1</span>' и '<span class="tex-font-style-tt">+</span>'. Например, скобочные последовательности «<span class="tex-font-style-tt">()()</span>», «<span class="tex-font-style-tt">(())</span>» — правильные (полученные выражения: «<span class="tex-font-style-tt">(1)+(1)</span>», «<span class="tex-font-style-tt">((1+1)+1)</span>»), а «<span class="tex-font-style-tt">)(</span>» и «<span class="tex-font-style-tt">(</span>» — нет.</p><p>Префиксом строки $$$s$$$ называется её подстрока, которая начинается с индекса $$$1$$$. Например, для строки $$$s=$$$«<span class="tex-font-style-tt">(())()</span>» есть $$$6$$$ префиксов: «<span class="tex-font-style-tt">(</span>», «<span class="tex-font-style-tt">((</span>», «<span class="tex-font-style-tt">(()</span>», «<span class="tex-font-style-tt">(())</span>», «<span class="tex-font-style-tt">(())(</span>» и «<span class="tex-font-style-tt">(())()</span>».</p><p>По вашему мнению, красивая и чистая комната $$$s$$$ — это такая, что:</p><ul> <li> вся строка $$$s$$$ целиком является <span class="tex-font-style-it">правильной скобочной</span>; </li><li> <span class="tex-font-style-bf">и</span> ровно $$$k$$$ ее префиксов(включая всю строку $$$s$$$) являются правильными скобочными. </li></ul><p>Например, если $$$k = 2$$$, то «<span class="tex-font-style-tt">(())()</span>» это красивая и чистая комната.</p><p>Вы хотите использовать не более $$$n$$$ операций, чтобы сделать вашу комнату красивой и чистой. Операции применяются последовательно, одна за другой.</p><p>Гарантируется, что ответ существует. Обратите внимание, что вам <span class="tex-font-style-bf">не нужно</span> минимизировать количество операций — найдите любой способ достичь требуемой конфигурации за $$$n$$$ или менее операций.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке записаны два целых числа $$$n$$$ и $$$k$$$ ($$$1 \le k \le \frac{n}{2}, 2 \le n \le 2000$$$, $$$n$$$ четно) — длина $$$s$$$ и необходимое количество правильных префиксов.</p><p>Во второй строке записана $$$s$$$ длины $$$n$$$ — данная скобочная последовательность. Все символы строки равны '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'.</p><p>Гарантируется, что в данной строке ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">(</span>' и ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">)</span>'.</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого из наборов входных данных выведите ответ.</p><p>В первой строке выведите число $$$m$$$ ($$$0 \le m \le n$$$) — количество операций. Вам <span class="tex-font-style-bf">не требуется</span> минимизировать $$$m$$$, это число может быть любым.</p><p>В следующих $$$m$$$ строках выведите описания операций, каждая строка должна содержать два целых числа $$$l,r$$$ ($$$1 \le l \le r \le n$$$), описывающих операцию переворота подстроки $$$s[l \dots r]=s_{l}s_{l+1}\dots s_{r}$$$. Операции выполняются последовательно одна за другой.</p><p>Итоговая строка $$$s$$$ после применения всех операций должна быть правильной, ровно $$$k$$$ её префиксов (включая $$$s$$$) должны быть правильными.</p><p>Гарантируется, что ответ существует. Если есть несколько возможных ответов, вы можете вывести любой.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 8 2 ()(())() 10 3 ))()()()(( 2 1 () 2 1 )( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 4 1 1 5 8 2 2 3 4 10 1 4 6 7 0 1 1 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере итоговая последовательность — это «<span class="tex-font-style-tt">()(()())</span>», в которой два префикса корректные, «<span class="tex-font-style-tt">()</span>» и «<span class="tex-font-style-tt">()(()())</span>». Обратите внимание, что все операции кроме «<span class="tex-font-style-tt">5 8</span>» в примере вывода не меняют текущую строку $$$s$$$.</p></div></div>

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Просто зарегистрируйтесь на дорешивание. </div> <div style="text-align:center;margin:1em;"> <form action="" method="post"><input type='hidden' name='csrf_token' value='46fb820fd2dbf866feb830fbfbad72ac'/> <input type="hidden" name="action" value="registerForPractice"/> <input type="submit" name="submit" value="Зарегистрироваться" style="padding:0 0.5em;"> </form> </div> </div> </div> <div class="roundbox sidebox ContestVirtualFrame borderTopRound " style=""> <div class="caption titled">→ Виртуальное участие <i class="sidebar-caption-icon las la-angle-down"></i> <div class="top-links"> </div> </div> <div style=" " data-page-url="/data/sidebarFrames" > <div style="margin:1em;font-size:0.8em;"> Виртуальное соревнование – это способ прорешать прошедшее соревнование в режиме, максимально близком к участию во время его проведения. Поддерживается только ICPC режим для виртуальных соревнований. Если вы раньше видели эти задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_5fd30a1e1aa81727c42a187aca919ff61f32928e"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Грязно</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вы устали от своей грязной комнаты, поэтому вы решили в ней прибраться.</p><p>Ваша комната это скобочная последовательность $$$s=s_{1}s_{2}\dots s_{n}$$$ длины $$$n$$$. Каждый символ этой строки это либо открывающая круглая скобка '<span class="tex-font-style-tt">(</span>', либо закрывающая круглая скобка '<span class="tex-font-style-tt">)</span>'.</p><p>За одну операцию вы можете выбрать любую подстроку строки $$$s$$$ и перевернуть ее. Формально, за одну операцию вы можете выбрать подстроку $$$s[l \dots r]=s_l, s_{l+1}, \dots, s_r$$$ и поменять порядок элементов в ней на $$$s_r, s_{r-1}, \dots, s_{l}$$$.</p><p>Например, если вы захотите перевернуть подстроку $$$s[2 \dots 4]$$$ строки $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">(()</span>))</span>», она станет равна $$$s=$$$«<span class="tex-font-style-tt">(<span class="tex-font-style-bf">)((</span>))</span>».</p><p><span class="tex-font-style-bf">Правильной</span> скобочной последовательностью называется скобочная последовательность, которую можно преобразовать в корректное арифметическое выражение путем вставок между ее символами символов '<span class="tex-font-style-tt">1</span>' и '<span class="tex-font-style-tt">+</span>'. Например, скобочные последовательности «<span class="tex-font-style-tt">()()</span>», «<span class="tex-font-style-tt">(())</span>» — правильные (полученные выражения: «<span class="tex-font-style-tt">(1)+(1)</span>», «<span class="tex-font-style-tt">((1+1)+1)</span>»), а «<span class="tex-font-style-tt">)(</span>» и «<span class="tex-font-style-tt">(</span>» — нет.</p><p>Префиксом строки $$$s$$$ называется её подстрока, которая начинается с индекса $$$1$$$. Например, для строки $$$s=$$$«<span class="tex-font-style-tt">(())()</span>» есть $$$6$$$ префиксов: «<span class="tex-font-style-tt">(</span>», «<span class="tex-font-style-tt">((</span>», «<span class="tex-font-style-tt">(()</span>», «<span class="tex-font-style-tt">(())</span>», «<span class="tex-font-style-tt">(())(</span>» и «<span class="tex-font-style-tt">(())()</span>».</p><p>По вашему мнению, красивая и чистая комната $$$s$$$ — это такая, что:</p><ul> <li> вся строка $$$s$$$ целиком является <span class="tex-font-style-it">правильной скобочной</span>; </li><li> <span class="tex-font-style-bf">и</span> ровно $$$k$$$ ее префиксов(включая всю строку $$$s$$$) являются правильными скобочными. </li></ul><p>Например, если $$$k = 2$$$, то «<span class="tex-font-style-tt">(())()</span>» это красивая и чистая комната.</p><p>Вы хотите использовать не более $$$n$$$ операций, чтобы сделать вашу комнату красивой и чистой. Операции применяются последовательно, одна за другой.</p><p>Гарантируется, что ответ существует. Обратите внимание, что вам <span class="tex-font-style-bf">не нужно</span> минимизировать количество операций — найдите любой способ достичь требуемой конфигурации за $$$n$$$ или менее операций.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. Далее следуют описания $$$t$$$ наборов входных данных.</p><p>В первой строке записаны два целых числа $$$n$$$ и $$$k$$$ ($$$1 \le k \le \frac{n}{2}, 2 \le n \le 2000$$$, $$$n$$$ четно) — длина $$$s$$$ и необходимое количество правильных префиксов.</p><p>Во второй строке записана $$$s$$$ длины $$$n$$$ — данная скобочная последовательность. Все символы строки равны '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'.</p><p>Гарантируется, что в данной строке ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">(</span>' и ровно $$$\frac{n}{2}$$$ символов '<span class="tex-font-style-tt">)</span>'.</p><p>Сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого из наборов входных данных выведите ответ.</p><p>В первой строке выведите число $$$m$$$ ($$$0 \le m \le n$$$) — количество операций. Вам <span class="tex-font-style-bf">не требуется</span> минимизировать $$$m$$$, это число может быть любым.</p><p>В следующих $$$m$$$ строках выведите описания операций, каждая строка должна содержать два целых числа $$$l,r$$$ ($$$1 \le l \le r \le n$$$), описывающих операцию переворота подстроки $$$s[l \dots r]=s_{l}s_{l+1}\dots s_{r}$$$. Операции выполняются последовательно одна за другой.</p><p>Итоговая строка $$$s$$$ после применения всех операций должна быть правильной, ровно $$$k$$$ её префиксов (включая $$$s$$$) должны быть правильными.</p><p>Гарантируется, что ответ существует. Если есть несколько возможных ответов, вы можете вывести любой.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 8 2 ()(())() 10 3 ))()()()(( 2 1 () 2 1 )( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 4 1 1 5 8 2 2 3 4 10 1 4 6 7 0 1 1 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере итоговая последовательность — это «<span class="tex-font-style-tt">()(()())</span>», в которой два префикса корректные, «<span class="tex-font-style-tt">()</span>» и «<span class="tex-font-style-tt">()(()())</span>». Обратите внимание, что все операции кроме «<span class="tex-font-style-tt">5 8</span>» в примере вывода не меняют текущую строку $$$s$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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["\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "*1700"]

https://codeforces.com/blog/entry/71740

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class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262D1

1262

D1

ru

D1. Оптимальные подпоследовательности (упрощённая версия)

<div class="problem-statement"><div class="header"><div class="title">D1. Оптимальные подпоследовательности (упрощённая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n, m \le 100$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 100$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 100$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D1" data-uuid="ps_6df44bfabf4e188a0f4c10cf6379d8146a49fa11"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D1. Оптимальные подпоследовательности (упрощённая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n, m \le 100$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 100$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 100$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D1]"); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*1600"]

https://codeforces.com/blog/entry/71740

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class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262D2

1262

D2

ru

D2. Оптимальные подпоследовательности (усложненная версия)

<div class="problem-statement"><div class="header"><div class="title">D2. Оптимальные подпоследовательности (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n, m \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 2\cdot10^5$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D2" data-uuid="ps_16cd68beb696e72f5f654f2f80811fe07e63a86e"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D2. Оптимальные подпоследовательности (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n, m \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>Пусть задана последовательность целых чисел $$$a=[a_1,a_2,\dots,a_n]$$$ длины $$$n$$$. Её <span class="tex-font-style-it">подпоследовательностью</span> называется любая такая, которая получена удалением нуля или более элементов из последовательности $$$a$$$ (они не обязательно идут подряд). Например, для последовательности $$$a=[11,20,11,33,11,20,11]$$$:</p><ul> <li> $$$[11,20,11,33,11,20,11]$$$, $$$[11,20,11,33,11,20]$$$, $$$[11,11,11,11]$$$, $$$[20]$$$, $$$[33,20]$$$ — подпоследовательности (некоторые из большого списка); </li><li> $$$[40]$$$, $$$[33,33]$$$, $$$[33,20,20]$$$, $$$[20,20,11,11]$$$ — не являются подпоследовательностями. </li></ul><p>Пусть дополнительно задано целое неотрицательное число $$$k$$$ ($$$1 \le k \le n$$$), тогда подпоследовательность называется <span class="tex-font-style-it">оптимальной</span>, если:</p><ul> <li> она имеет длину $$$k$$$ и сумма её элементов максимальная возможная среди всех подпоследовательностей длины $$$k$$$; </li><li> и среди всех подпоследовательностей длины $$$k$$$, которые удовлетворяют предыдущему пункту она <span class="tex-font-style-it">лексикографически</span> минимальна. </li></ul><p>Напомним, что последовательность $$$b=[b_1, b_2, \dots, b_k]$$$ лексикографически меньше последовательности $$$c=[c_1, c_2, \dots, c_k]$$$, если первый слева элемент в котором они различаются меньше в последовательности $$$b$$$ чем в $$$c$$$. Формально: существует такое $$$t$$$ ($$$1 \le t \le k$$$), что $$$b_1=c_1$$$, $$$b_2=c_2$$$, ..., $$$b_{t-1}=c_{t-1}$$$ и одновременно $$$b_t<c_t$$$. Например:</p><ul> <li> $$$[10, 20, 20]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[7, 99, 99]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$, </li><li> $$$[10, 21, 0]$$$ лексикографически меньше чем $$$[10, 21, 1]$$$. </li></ul><p>Вам задана последовательность $$$a=[a_1,a_2,\dots,a_n]$$$ и $$$m$$$ запросов, каждый состоит из двух чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$). Для каждого запроса выведите значение, которое стоит в индексе $$$pos_j$$$ оптимальной подпоследовательности заданной последовательности $$$a$$$ для $$$k=k_j$$$.</p><p>Например, если $$$n=4$$$, $$$a=[10,20,30,20]$$$, $$$k_j=2$$$, тогда оптимальная подпоследовательность равна $$$[20,30]$$$ — она минимальная лексикографически среди всех подпоследовательностей длины $$$2$$$ с максимальной суммой элементов. Таким образом, ответом на запрос вида $$$k_j=2$$$, $$$pos_j=1$$$ будет число $$$20$$$, а ответом на запрос вида $$$k_j=2$$$, $$$pos_j=2$$$ будет число $$$30$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — длина последовательности $$$a$$$.</p><p>Вторая строка содержит элементы последовательности $$$a$$$ — целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Третья строка содержит целое число $$$m$$$ ($$$1 \le m \le 2\cdot10^5$$$) — количество запросов.</p><p>Следующие $$$m$$$ строк содержат пары целых чисел $$$k_j$$$ и $$$pos_j$$$ ($$$1 \le k \le n$$$, $$$1 \le pos_j \le k_j$$$) — параметры запросов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$m$$$ целых чисел $$$r_1, r_2, \dots, r_m$$$ ($$$1 \le r_j \le 10^9$$$) по одному в строке — ответы на запросы в порядке их следования во входных данных. Значение $$$r_j$$$ должно быть равно значению, которое содержится в позиции $$$pos_j$$$ оптимальной подпоследовательности для $$$k=k_j$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 10 6 1 1 2 1 2 2 3 1 3 2 3 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 20 10 20 10 20 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 2 1 3 1 2 1 9 2 1 2 2 3 1 3 2 3 3 1 1 7 1 7 7 7 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 3 2 3 2 3 1 1 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, для $$$a=[10,20,10]$$$ оптимальные подпоследовательности: </p><ul> <li> для $$$k=1$$$ — это $$$[20]$$$, </li><li> для $$$k=2$$$ — это $$$[10,20]$$$, </li><li> для $$$k=3$$$ — это $$$[10,20,10]$$$. </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D2]"); 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["\u0411\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438, \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u0438\u044f", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0431\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*1800"]

https://codeforces.com/blog/entry/71740

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| <a href="/ratings/cities">Cities</a> | <a href="/ratings/organizations">Organizations</a> </td> <td style="text-align:right;"> <a href="/ratings">View all →</a> </td> </tr> </tbody> </table> </div> </div><div class="roundbox sidebox top-contributed borderTopRound " style=""> <div class="caption titled">→ Top contributors <div class="top-links"> </div> </div> <table class="rtable "> <tbody> <tr> <th class="left" style="width:2.25em;">#</th> <th class="">User</th> <th class="" style="width:5em;">Contrib.</th> </tr> <tr> <td class="left dark">1</td> <td class=" dark"><a href="/profile/adamant" title="Grandmaster adamant" class="rated-user user-red">adamant</a></td> <td class=" dark">178</td> </tr> <tr> <td class="left ">2</td> <td class=""><a href="/profile/awoo" title="Master awoo" class="rated-user user-orange">awoo</a></td> <td class="">167</td> </tr> <tr> <td class="left dark">3</td> <td class=" dark"><a href="/profile/BledDest" title="International Grandmaster BledDest" class="rated-user user-red">BledDest</a></td> <td class=" dark">165</td> </tr> <tr> <td class="left ">4</td> <td class=""><a href="/profile/Um_nik" title="Legendary Grandmaster Um_nik" class="rated-user user-legendary"><span class="legendary-user-first-letter">U</span>m_nik</a></td> <td class="">163</td> </tr> <tr> <td class="left dark">5</td> <td class=" dark"><a href="/profile/maroonrk" title="Legendary Grandmaster maroonrk" class="rated-user user-legendary"><span class="legendary-user-first-letter">m</span>aroonrk</a></td> <td class=" dark">162</td> </tr> <tr> <td class="left ">6</td> <td class=""><a href="/profile/SecondThread" title="Master SecondThread" class="rated-user user-orange">SecondThread</a></td> <td class="">160</td> </tr> <tr> <td class="left dark">7</td> <td class=" dark"><a href="/profile/nor" title="Master nor" class="rated-user user-orange">nor</a></td> <td class=" dark">158</td> </tr> <tr> <td class="left ">8</td> <td class=""><a href="/profile/-is-this-fft-" 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class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262E

1262

E

ru

E. Поджог в лесу Берляндии

<div class="problem-statement"><div class="header"><div class="title">E. Поджог в лесу Берляндии</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Представим лес Берляндии как бесконечное клеточное поле. В каждой клетке растет дерево. Или росло, до недавних событий.</p><p>Разрушительный огонь бушевал в лесу и уничтожил несколько деревьев. У вас есть прямоугольная карта $$$n \times m$$$, которая описывает поврежденную часть леса. Сожженные деревья отмечены на карте как «<span class="tex-font-style-tt">X</span>», в то время как остальные отмечены как «<span class="tex-font-style-tt">.</span>». <span class="tex-font-style-bf">Вы можете быть уверены, что все поврежденные деревья отмечены на карте. Все деревья за пределами карты — не повреждены.</span></p><p>Пожарные быстро потушили огонь, и теперь расследуют данный инцидент. Основная версия — это поджог: в какой-то момент времени (примем этот момент за $$$0$$$) несколько деревьев были подожжены. В начале минуты $$$0$$$ горели только подожженные деревья. В конце каждой минуты огонь распространяется от горящего дерева к $$$8$$$ соседним к нему деревьям. В начале минуты $$$T$$$ огонь был потушен.</p><p>Пожарные хотят найти поджигателей так быстро как это возможно. Но проблема в том, что они не знают ни значение $$$T$$$ (как долго бушевал пожар), ни местоположение деревьев, которые были подожжены. Они хотят, чтобы вы определили максимальное значение $$$T$$$ (чтобы узнать, сколько времени в запасе у поджигателей) и возможное множество деревьев, которые были подожжены.</p><p>Заметим, что вы хотите максимизировать значение $$$T$$$, но множество деревьев может быть произвольным.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке заданы два целых числа $$$n$$$ и $$$m$$$ ($$$1 \le n, m \le 10^6$$$, $$$1 \le n \cdot m \le 10^6$$$) — размеры карты.</p><p>В следующих $$$n$$$ строках задана карта. Строка $$$i$$$ соответствует $$$i$$$-й строке карты и содержит строку из $$$m$$$ символов. $$$j$$$-й символ $$$i$$$-й строки либо «<span class="tex-font-style-tt">X</span>», если соответствующее дерево сгорело, либо «<span class="tex-font-style-tt">.</span>» — если осталось в целости.</p><p>Гарантируется, что карта содержит хотя бы один «<span class="tex-font-style-tt">X</span>».</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите единственное число $$$T$$$ — максимальное время, которое мог гореть лес. В следующих $$$n$$$ строках выведите сертификат: карту (прямоугольник $$$n \times m$$$), на которой подожженные деревья отмечены как «<span class="tex-font-style-tt">X</span>», а оставшиеся как «<span class="tex-font-style-tt">.</span>».</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 XXXXXX XXXXXX XXXXXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 ...... .X.XX. ...... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 10 .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. .......... </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 .......... .......... ...XX..... .......... .......... .......... .....XX... .......... .......... .......... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 5 X.... ..XXX ..XXX ..XXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 X.... ..XXX ..XXX ..XXX </pre></div></div></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_00bbf2e77af0cf2971bb31446556a34c67b02f53"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Поджог в лесу Берляндии</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Представим лес Берляндии как бесконечное клеточное поле. В каждой клетке растет дерево. Или росло, до недавних событий.</p><p>Разрушительный огонь бушевал в лесу и уничтожил несколько деревьев. У вас есть прямоугольная карта $$$n \times m$$$, которая описывает поврежденную часть леса. Сожженные деревья отмечены на карте как «<span class="tex-font-style-tt">X</span>», в то время как остальные отмечены как «<span class="tex-font-style-tt">.</span>». <span class="tex-font-style-bf">Вы можете быть уверены, что все поврежденные деревья отмечены на карте. Все деревья за пределами карты — не повреждены.</span></p><p>Пожарные быстро потушили огонь, и теперь расследуют данный инцидент. Основная версия — это поджог: в какой-то момент времени (примем этот момент за $$$0$$$) несколько деревьев были подожжены. В начале минуты $$$0$$$ горели только подожженные деревья. В конце каждой минуты огонь распространяется от горящего дерева к $$$8$$$ соседним к нему деревьям. В начале минуты $$$T$$$ огонь был потушен.</p><p>Пожарные хотят найти поджигателей так быстро как это возможно. Но проблема в том, что они не знают ни значение $$$T$$$ (как долго бушевал пожар), ни местоположение деревьев, которые были подожжены. Они хотят, чтобы вы определили максимальное значение $$$T$$$ (чтобы узнать, сколько времени в запасе у поджигателей) и возможное множество деревьев, которые были подожжены.</p><p>Заметим, что вы хотите максимизировать значение $$$T$$$, но множество деревьев может быть произвольным.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке заданы два целых числа $$$n$$$ и $$$m$$$ ($$$1 \le n, m \le 10^6$$$, $$$1 \le n \cdot m \le 10^6$$$) — размеры карты.</p><p>В следующих $$$n$$$ строках задана карта. Строка $$$i$$$ соответствует $$$i$$$-й строке карты и содержит строку из $$$m$$$ символов. $$$j$$$-й символ $$$i$$$-й строки либо «<span class="tex-font-style-tt">X</span>», если соответствующее дерево сгорело, либо «<span class="tex-font-style-tt">.</span>» — если осталось в целости.</p><p>Гарантируется, что карта содержит хотя бы один «<span class="tex-font-style-tt">X</span>».</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите единственное число $$$T$$$ — максимальное время, которое мог гореть лес. В следующих $$$n$$$ строках выведите сертификат: карту (прямоугольник $$$n \times m$$$), на которой подожженные деревья отмечены как «<span class="tex-font-style-tt">X</span>», а оставшиеся как «<span class="tex-font-style-tt">.</span>».</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 XXXXXX XXXXXX XXXXXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 ...... .X.XX. ...... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 10 .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXX... .XXXXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. ...XXXXXX. .......... </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 .......... .......... ...XX..... .......... .......... .......... .....XX... .......... .......... .......... </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 5 X.... ..XXX ..XXX ..XXX </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 X.... ..XXX ..XXX ..XXX </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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["\u0411\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u0413\u0440\u0430\u0444\u044b", "\u041a\u0440\u0430\u0442\u0447\u0430\u0439\u0448\u0438\u0435 \u043f\u0443\u0442\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0430\u0445", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0431\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u0433\u0440\u0430\u0444\u044b", "\u043a\u0440\u0430\u0442\u0447\u0430\u0439\u0448\u0438\u0435 \u043f\u0443\u0442\u0438", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*2200"]

https://codeforces.com/blog/entry/71740

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adedalic">adedalic</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261C">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D1" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D1 - Wrong Answer on test 233 (Easy Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D2 - Wrong Answer on test 233 (Hard Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 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src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262F1

1262

F1

ru

F1. Неправильный ответ на тесте 233 (упрощенная версия)

<div class="problem-statement"><div class="header"><div class="title">F1. Неправильный ответ на тесте 233 (упрощенная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n \le 2000$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2000$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div>

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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; if (!pre) { s = s.replace(/\s+/g, " "); } if (s.length > 0) { result.push(s); } } if (pre && node.tagName === "BR") { result.push("\n"); } node.childNodes.forEach(function (child) { result.push(nodeToText(child, node.tagName === "PRE").join("")); }); if (node.tagName === "DIV" || node.tagName === "P" || node.tagName === "PRE" || node.tagName === "UL" || node.tagName === "LI" ) { result.push("\n"); } if (node.tagName === "NOBR") { result.push(CLOSING_SPACE); } return result; } const isSpecial = function (c) { return c === ',' || c === '.' || c === ';' || c === ')' || c === ' '; } const convertStatementToText = function(statmentNode) { const text = nodeToText(statmentNode, false).join("").replace(/ +/g, " ").replace(/\n\n+/g, "\n\n"); let result = []; for (let i = 0; i < text.length; i++) { const c = text.charAt(i); if (c === OPENING_SPACE) { if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) { result.push('+'); } } else if (c === CLOSING_SPACE) { if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) { result.push('-'); } } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F1" data-uuid="ps_ccbb9d2dd694ffcf1277a36e20c063ad5ecca4da"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F1. Неправильный ответ на тесте 233 (упрощенная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это упрощенная версия задачи, в этой версии $$$1 \le n \le 2000$$$. Вы можете взламывать эту задачу, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2000$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F1]"); 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["\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u043f", "*2200"]

https://codeforces.com/blog/entry/71740

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adedalic">adedalic</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261C">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D1" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D1 - Wrong Answer on test 233 (Easy Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D2 - Wrong Answer on test 233 (Hard Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 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src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1262F2

1262

F2

ru

F2. Неправильный ответ на тесте 233 (усложненная версия)

<div class="problem-statement"><div class="header"><div class="title">F2. Неправильный ответ на тесте 233 (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2\cdot10^5$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 2 1 1 2 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 16 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div>

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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71678" title="Технокубок 2020 — Отборочный Раунд 3 (и открытые рейтинговые раунды Codeforces Round 602 Div.1, Div.2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9925:9926" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="Tutorial" target="_blank">Tutorial <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9943" resourceName="Tutorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71740" title="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" target="_blank">Разбор задач №2 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9946" resourceName="Technocup 2020 — Elimination Round 3 + Codeforces Round 602: Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71740" title="71740" target="_blank">Разбор задач №3 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9958" resourceName="71740" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1262">Задачи</a></li> <li><a href="/contest/1262/submit">Отослать</a></li> <li><a href="/contest/1262/my">Мои посылки</a></li> <li><a href="/contest/1262/status">Статус</a></li> <li><a href="/contest/1262/hacks">Взломы</a></li> <li><a href="/contest/1262/room/1">Комната</a></li> <li><a href="/contest/1262/standings">Положение</a></li> <li><a href="/contest/1262/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F2" data-uuid="ps_c134bc4c351acc34eac4e0048723a911d0d419dc"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F2. Неправильный ответ на тесте 233 (усложненная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><div class="epigraph"><div class="epigraph-text">Ваша программа снова не работает, на этот раз она получает вердикт «<span class="tex-font-style-tt">Неправильный ответ на тесте 233</span>»</div></div><p><span class="tex-font-style-it">Это усложненная версия задачи, в этой версии $$$1 \le n \le 2\cdot10^5$$$. Вы можете взламывать эту задачу, если вы ее заблокировали. Но вы можете взламывать предыдущую версию задачи, только если вы заблокировали обе версии.</span></p><p>В задаче идёт речь о тесте из $$$n$$$ вопросов. Каждый вопрос содержит $$$k$$$ вариантов ответа, и только один из них правильный. Ответ на $$$i$$$-й вопрос это $$$h_{i}$$$. Если ваш ответ на вопрос $$$i$$$ равен $$$h_{i}$$$, вы получите $$$1$$$ балл, в противном случае вы получите $$$0$$$ баллов за этот вопрос. В этой задаче значения $$$h_1, h_2, \dots, h_n$$$ вам известны (заданы).</p><p>Однако, вы допустили ошибку в вашей программе! Расположим все $$$n$$$ ответов на окружности по часовой стрелке. Из-за ошибки в вашей программе, они сдвигаются на один по циклу в направлении часовой стрелки.</p><p>Формально, ошибка двигает ответ на вопрос $$$i$$$ к вопросу $$$i \bmod n + 1$$$. Так она двигает ответ на вопрос $$$1$$$ к вопросу $$$2$$$, ответ на вопрос $$$2$$$ к вопросу $$$3$$$, ..., ответ на вопрос $$$n$$$ к вопросу $$$1$$$.</p><p>Назовем все $$$n$$$ ответов вместе <span class="tex-font-style-it">набором ответов</span>. Всего есть $$$k^n$$$ возможных наборов ответов.</p><p>Вас интересует количество наборов ответов удовлетворяющих следующему условию: <span class="tex-font-style-it">после сдвига по часовой стрелки на $$$1$$$, итоговое количество баллов нового набора ответов строго больше чем старого</span>. Вам необходимо найти это количество по модулю $$$998\,244\,353$$$.</p><p>Например, если $$$n = 5$$$ и ваш набор ответов $$$a=[1,2,3,4,5]$$$, он будет изменен вашей программой на $$$a'=[5,1,2,3,4]$$$ из-за ошибки. Если набор правильных ответов равен $$$h=[5,2,2,3,4]$$$, тогда набор ответов $$$a$$$ получит $$$1$$$ балл, а набор ответов $$$a'$$$ получит $$$4$$$ балла. Так как $$$4 > 1$$$, набор ответов $$$a=[1,2,3,4,5]$$$ удовлетворяет условию и должен быть посчитан.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n$$$, $$$k$$$ ($$$1 \le n \le 2\cdot10^5$$$, $$$1 \le k \le 10^9$$$) — количество вопросов и количество вариантов ответа в каждом вопросе.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$h_1, h_2, \dots, h_n$$$, ($$$1 \le h_{i} \le k)$$$ — правильные ответы на вопросы.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество наборов ответов, удовлетворяющих данному ограничению, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 1 1 4 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1000 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 2 1 1 2 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 16 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На первый пример, корректные наборы ответов — это $$$[2,1,1], [2,1,2], [2,1,3], [3,1,1], [3,1,2], [3,1,3], [3,2,1], [3,2,2], [3,2,3]$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F2]"); 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["\u041a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "*2400"]

https://codeforces.com/blog/entry/71740

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adedalic">adedalic</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261C">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D1" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D1 - Wrong Answer on test 233 (Easy Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D1">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/D2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261D2 - Wrong Answer on test 233 (Hard Version)</a></h5><p>Writer: <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261D2">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/E" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261E - Not Same</a></h5><p>Writers: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a>, <a class="rated-user user-orange" href="/profile/RDDCCD" title="Master RDDCCD">RDDCCD</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261E">Tutorial is loading...</div></div></div><h5><a href="/contest/1261/problem/F" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261F - Xor-Set</a></h5><p>Writer: <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a></p> <div class="spoiler"><b class="spoiler-title">Tutorial</b><div class="spoiler-content" style="display: none;"><div class="problemTutorial" problemcode="1261F">Tutorial is loading...</div></div></div></div> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1262" class="notice" style="text-decoration: none;">Codeforces Round 602 (Div. 2, based on Technocup 2020 Elimination Round 3)</a> </span> </div> <div style="font-size: 1.1rem;line-height: 1.1rem;padding-bottom: 0.5em;"> <img src="//codeforces.org/s/81027/images/icons/paperclip-16x16.png" style="vertical-align: middle;"/> <span style="padding: 0 0.35em;">Tutorial of <a href="/contest/1227" class="notice" style="text-decoration: none;">Technocup 2020 - Elimination Round 3</a> </span> </div> <div style="font-size: 1.1rem;line-height: 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src="//codeforces.org/s/81027/images/blog/tags.png" title="Tags" alt="Tags"/> <span style="padding: 0 0.35em;"> <a href="/search?query=%23editorial" class="tag notice" style="text-decoration: none;">#editorial</a> </span> </div> <div class="roundbox meta borderTopRound borderBottomRound" style=""> <div class="left-meta"> <ul> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-up-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/voteup.png" alt="Vote: I like it" title="Vote: I like it" /></a> </li> <li style="line-height: 1.6em;"> <span title="Topic rating" style='font-size:larger;position:relative;bottom:1px;font-weight:bold;color:green'>+113</span> </li> <li style="line-height: 1.6em;"> <a href="#" class="topic-vote-down-72270"><img style="vertical-align:middle;position:relative;top:-0.2em" src="//codeforces.org/s/81027/images/actions/votedown.png" alt="Vote: I do not like it" title="Vote: I do not like it" 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.comments .comments-actions-div { float: right; margin-top: 3rem; margin-right: 0.5em; } .comments .comments-actions-div .separator { margin: 0 1rem; } .comments label.show-archived { } .comments label.show-archived, .comments label.show-archived * { font-size: 1.4rem !important; color: black !important; /*position: relative !important;*/ /*bottom: 0.4rem !important;*/ } .comments label.show-archived input { height: 1.4rem !important; width: 1.4rem !important; position: relative; top: 0.25rem; } .new-root-comment { font-size: 1.4rem !important; } </style> <div class="comments" commentableId="77040"> <div style="display: flow-root"> <div class="title"> <img src="//codeforces.org/s/81027/images/icons/comments-48x48.png" alt="Comments" title="Comments" style="position:relative;top:0.6em;"/> <a name="comments">Comments (50)</a> </div> <div class="comments-actions-div"> <label class="show-archived"> <input type="checkbox" class="show-archived-checkbox" /> Show archived </label> <span class="separator">|</span> <a href="#" class="new-root-comment" >Write comment?</a> </div> </div> <div class="comment"> <table class="comment-table" commentId="560576" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:29">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560576" href="?#comment-560576" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560576" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560576"> <div class="moveup"> <div class="ttypography"><p><i>Auto comment: topic has been updated by <a class="rated-user user-red" href="/profile/mystery" title="Grandmaster mystery">mystery</a> (<a href="/topic/72270/en2">previous revision</a>, <a href="/topic/72270/en3">new revision</a>, <a href="/topic/72270/diff/en2/en3">compare</a>).</i></p></div> </div> </div> <div class="reply info"> <a class="comment-560576 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560576 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560576"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560577" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 08:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560577" href="?#comment-560577" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560577" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560577"> <div class="moveup"> <div class="ttypography"><p>The tutorial for 1261B — Optimal Subsequences is not ready, but I feel that it is better I post the tutorial soon! That problem is not by me and I hope the tutorial will be available soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560577 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560577 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560577"> <li> <div class="comment"> <table class="comment-table" commentId="560607" commentParentId="560577"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Xellos" style="position: relative;"> <img src='https://userpic.codeforces.org/69675/avatar/8526bcfc8e687b43.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/Xellos" title="International Grandmaster Xellos" class="rated-user user-red">Xellos</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 12:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560607" href="?#comment-560607" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560577" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560607" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="69675" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560607"> <div class="moveup"> <div class="ttypography"><p>I can just post the brief solution:</p> <ul> <li>The optimal subsequence for a given $$$K$$$ contains the largest $$$K$$$ values.</li> <li>If the indices with the smallest of these values can be chosen in multiple ways, we want to choose smaller indices.</li> <li>That means we want to sort the sequence of all $$$(A_i, -i)$$$. We get the answer to a query by taking the last $$$K$$$ pairs, sorting the indices in them and taking the $$$id$$$-th of these indices.</li> <li>Easy offline solution: sort queries by $$$K$$$, add pairs one by one, build a sorted array of indices in them either using a treap or some sqrt structure.</li> </ul></div> </div> </div> <div class="reply info"> <a class="comment-560607 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560607 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560607"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560580" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EvGen1u5" style="position: relative;"> <img src='https://userpic.codeforces.org/807514/avatar/225f5e83fd99fc81.jpg'/> </a> <div><a href="/profile/EvGen1u5" title="Expert EvGen1u5" class="rated-user user-blue">EvGen1u5</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:38">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560580" href="?#comment-560580" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560580" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="807514" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560580"> <div class="moveup"> <div class="ttypography"><p>Qualifying round for Technocup (competitions for CIS schoolchildren), but tutorial in English only. hmm</p></div> </div> </div> <div class="reply info"> <a class="comment-560580 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560580 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560580"> <li> <div class="comment"> <table class="comment-table" commentId="560581" commentParentId="560580"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/300iq" style="position: relative;"> <img src='https://userpic.codeforces.org/301070/avatar/ebe51c7df2ba2ccc.jpg'/> </a> <div><a href="/profile/300iq" title="Master 300iq" class="rated-user user-orange">300iq</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 09:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560581" href="?#comment-560581" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560580" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560581" class="CommentVoteFrame" data-commentRating="30" data-commentUserId="301070" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+30</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560581"> <div class="moveup"> <div class="ttypography"><p>Editorial will be available in Russian soon.</p></div> </div> </div> <div class="reply info"> <a class="comment-560581 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560581 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560581"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560590" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:08">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560590" href="?#comment-560590" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560590" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-19" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-19</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560590"> <div class="moveup"> <div class="ttypography"><p>obviously, its' easy and similar words are not appropriate for editorials. I understand that once you know the solution it obvious. There are thousands of people who were didn't found it obvious.</p></div> </div> </div> <div class="reply info"> <a class="comment-560590 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560590 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560590"> <li> <div class="comment"> <table class="comment-table" commentId="560591" commentParentId="560590"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:12">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560591" href="?#comment-560591" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560590" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560591" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560591"> <div class="moveup"> <div class="ttypography"><p>Which part exactly do you need us to explain? I'll be glad to answer your question.</p></div> </div> </div> <div class="reply info"> <a class="comment-560591 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560591 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560591"> <li> <div class="comment"> <table class="comment-table" commentId="560593" commentParentId="560591"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dcrystalj" style="position: relative;"> <img src='https://userpic.codeforces.org/280649/avatar/8f4d0f83fb3a861a.jpg'/> </a> <div><a href="/profile/dcrystalj" title="Pupil dcrystalj" class="rated-user user-green">dcrystalj</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:23">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560593" href="?#comment-560593" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560591" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560593" class="CommentVoteFrame" class="negative-comment-vote" data-commentRating="-22" data-commentUserId="280649" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-22</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560593"> <div class="moveup"> <div class="ttypography"><p>A-Messy <code>It's easy to construct a valid bracket sequence,</code> I am puzzled if we can construct any valid sequence? If so probably we put all left brackets to left and right to right side, but I think we need to construct K outer brackets. maybe code solution example would help</p></div> </div> </div> <div class="reply info"> <a class="comment-560593 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560593 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560593"> <li> <div class="comment"> <table class="comment-table" commentId="560596" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 11:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560596" href="?#comment-560596" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560596" class="CommentVoteFrame" data-commentRating="14" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+14</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560596"> <div class="moveup"> <div class="ttypography"><p><a href="/contest/1261/submission/65626236" title="Submission 65626236 by tourist">65626236</a> I would recommend you to see tourist's solution.</p></div> </div> </div> <div class="reply info"> <a class="comment-560596 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560596 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560596"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560969" commentParentId="560593"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/SnowfuryGiant" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/SnowfuryGiant" title="Expert SnowfuryGiant" class="rated-user user-blue">SnowfuryGiant</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/28/2019 04:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560969" href="?#comment-560969" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560593" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560969" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560969" class="CommentVoteFrame" data-commentRating="10" data-commentUserId="1213209" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560969"> <div class="moveup"> <div class="ttypography"><p>I think "valid" is supposed to mean "with exactly K outer brackets". The example given in the tutorial is <code>()()()()((((()))))</code> for say K=5; so you just put K-1 empty brackets first, then all the left brackets, and finally all the right brackets. This will always give you a valid bracket sequence with K outer brackets.</p></div> </div> </div> <div class="reply info"> <a class="comment-560969 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560969 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560969"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560610" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lewd" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/lewd" title="Expert lewd" class="rated-user user-blue">lewd</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 13:02">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560610" href="?#comment-560610" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560610" revisionCount="9" revision="9"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">9</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560610" class="CommentVoteFrame" data-commentRating="15" data-commentUserId="772690" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+15</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560610"> <div class="moveup"> <div class="ttypography"><p>My $$$(n + q) \ log \ n$$$ solution for <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a></p> <div class="spoiler"><b class="spoiler-title">Greedy</b><div class="spoiler-content" style="display: none;"><p>The optimal subsequence of length k</p> <ul> <li><p>Must have maximum sum -> it must use k largest value of the array</p></li> <li><p>Lexicographically minimal -> we only care about smallest value elements in k choosen value</p></li> </ul><p>-> Sort given array by minimum value first, if value is the same, element with larger index first, last k element is the optimal subsequence of length k</p></div></div> <div class="spoiler"><b class="spoiler-title">Binary Indexed Tree(BIT)</b><div class="spoiler-content" style="display: none;"><p>The problem ask you to print the index pos in the optimal subsequence of length k, we know the index of all k element in the original array -> $$$answer = a[x]$$$ where x is the $$$pos-th$$$ smallest out of all index</p><p>Maintain a set, iterate through all k from 1 to n, keep insert element, for all query with k, to find $$$pos-th$$$ smallest index in $$$log(n)$$$ we can :</p><p>Use a BIT such that index in array = value in set and let the value in array be count[value] so that we can get number of element smaller than x</p><p>Binary lifting : iterate from highest bit possible, we can check if we can make current bit = 1, thus we can get the maximum value such that number of smaller element is < x (using the fact that $$$sum(x, x - (x & -x) + 1)$$$ can get in $$$O(1)$$$ in BIT), then the answer we need is ans + 1</p></div></div><p>Code : <a href="/contest/1261/submission/65736937" title="Submission 65736937 by lewd">65736937</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560610 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560610 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560610"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560627" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 15:31">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560627" href="?#comment-560627" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560627" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560627" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560627"> <div class="moveup"> <div class="ttypography"><p>Why the following statement in Problem F is true? Shouldn't it be $$$4 \times n^2$$$?</p><p><code> We can prove that the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n. </code></p></div> </div> </div> <div class="reply info"> <a class="comment-560627 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560627 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560627"> <li> <div class="comment"> <table class="comment-table" commentId="560631" commentParentId="560627"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560631" href="?#comment-560631" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560627" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560631" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560631" class="CommentVoteFrame" data-commentRating="-10" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">-10</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560631"> <div class="moveup"> <div class="ttypography"><p>Consider a access to [l,r] on the segment tree, we would call the segments we accessed and found that the segment is completely in [l,r] real segments, and all segments we visited are auxiliary segments. Since we tried visiting n intervals (All intervals in A or B), and for each visit the segments (nodes) we touched of each depth is not greater than 4, <code>the number of both "real" and "auxiliary" segments of any size is not greater than 4 x n</code> is proved.</p><p>This is the same with the proof of the complexity of the segment tree, I found this on internet <a href="https://www.quora.com/How-do-we-prove-that-the-time-complexity-of-the-update-and-query-operations-in-a-segment-tree-are-Theta-lg-n">only 4 nodes are processed in a level</a>.</p><p>Sorry, but I have no idea why it could possibly be $$$4n^2$$$.</p><p>Check out my solution for more information:<a href="/contest/1261/submission/65749995" title="Submission 65749995 by mystery">65749995</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560631 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560631 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560631"> <li> <div class="comment"> <table class="comment-table" commentId="560648" commentParentId="560631"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560648" href="?#comment-560648" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560631" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560648" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560648"> <div class="moveup"> <div class="ttypography"><p>I can’t see your solution. QwQ</p></div> </div> </div> <div class="reply info"> <a class="comment-560648 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560648 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560648"> <li> <div class="comment"> <table class="comment-table" commentId="560650" commentParentId="560648"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 18:03">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560650" href="?#comment-560650" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560648" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560650" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560650"> <div class="moveup"> <div class="ttypography"><p><a href="https://pastebin.ubuntu.com/p/zGFGZzsqvV/">Pasted on pastern.ubuntu</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560650 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560650 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560650"> <li> <div class="comment"> <table class="comment-table" commentId="560660" commentParentId="560650"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/dreamoon_love_AA" style="position: relative;"> <img src='https://userpic.codeforces.org/14042/avatar/897801c7239d1eb6.jpg'/> </a> <div><a href="/profile/dreamoon_love_AA" title="International Grandmaster dreamoon_love_AA" class="rated-user user-red">dreamoon_love_AA</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:05">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560660" href="?#comment-560660" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560650" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560660" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560660" class="CommentVoteFrame" data-commentRating="8" data-commentUserId="14042" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+8</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560660"> <div class="moveup"> <div class="ttypography"><p>Oh... finally I understand what the sentences. The reason I didn't understand before is just my English is bad... I mean the size of vector fin in your code should be about $$$60 \times 4 \times n^2$$$.</p></div> </div> </div> <div class="reply info"> <a class="comment-560660 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560660 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560660"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560635" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 16:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560635" href="?#comment-560635" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560635" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560635" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560635"> <div class="moveup"> <div class="ttypography"><p>For anyone looking for the solution of <a href="/contest/1261/problem/B2" title="Codeforces Round 602 (Div. 1, based on Technocup 2020 Elimination Round 3)">1261B2 - Optimal Subsequences (Hard Version)</a> in <strong>Java</strong>, you can refer to my solution. I used the same approach as mentioned in the tutorial and used <strong>Segment Tree</strong> to find the kth smallest element in the set. <a href="/contest/1262/submission/65750497" title="Submission 65750497 by an09mous">65750497</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560635 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560635 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560635"> <li> <div class="comment"> <table class="comment-table" commentId="560671" commentParentId="560635"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:35">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560671" href="?#comment-560671" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560635" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560671" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560671"> <div class="moveup"> <div class="ttypography"><p>Btw no need to binary search on seg tree queries, you can use <a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">this trick</a>, (ctrl-f for find_kth)</p></div> </div> </div> <div class="reply info"> <a class="comment-560671 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560671 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560671"> <li> <div class="comment"> <table class="comment-table" commentId="560695" commentParentId="560671"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/an09mous" style="position: relative;"> <img src='https://userpic.codeforces.org/913284/avatar/d39e778ddf7a46b1.jpg'/> </a> <div><a href="/profile/an09mous" title="Expert an09mous" class="rated-user user-blue">an09mous</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:33">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560695" href="?#comment-560695" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560671" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560695" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="913284" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560695"> <div class="moveup"> <div class="ttypography"><p>Thanks a lot, exactly what I was looking for. It decreased the time complexity from log(n)^2 to log(n). Thanks a lot.</p></div> </div> </div> <div class="reply info"> <a class="comment-560695 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560695 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560695"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560649" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/socho" style="position: relative;"> <img src='https://userpic.codeforces.org/691955/avatar/448ff67c44330caa.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/socho" title="Master socho" class="rated-user user-orange">socho</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 17:59">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560649" href="?#comment-560649" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560649" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="691955" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560649"> <div class="moveup"> <div class="ttypography"><p>Thank you so much for the contest and editorials! </p><p>I'm just wondering if anyone has a solution which runs under $$$O(n^2)$$$ for <a href="https://codeforces.com/contest/1261/problem/A">Div1A/Div2C (Messy)</a>? Or alternatively, is there a way to show that it is not possible to do this with better time complexity?</p><p>Thanks!</p></div> </div> </div> <div class="reply info"> <a class="comment-560649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560649"> <li> <div class="comment"> <table class="comment-table" commentId="560676" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:44">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560676" href="?#comment-560676" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560676" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560676"> <div class="moveup"> <div class="ttypography"><p>I was wondering the same.</p><p>After spending 5 mins thinking about a solution, I noticed n^2 can also pass but it looked like it can be solved in better complexity too.</p></div> </div> </div> <div class="reply info"> <a class="comment-560676 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560676 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560676"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560692" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/MarcosK" style="position: relative;"> <img src='https://userpic.codeforces.org/501788/avatar/7fbcabce2cb8d719.jpg'/> </a> <div><a href="/profile/MarcosK" title="Master MarcosK" class="rated-user user-orange">MarcosK</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560692" href="?#comment-560692" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560692" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560692" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="501788" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560692"> <div class="moveup"> <div class="ttypography"><p>There are several ways to implement a solution that runs under $$$O(n^2)$$$.</p><p>Both operations explained in the editorial can be implemented in $$$O(log(n))$$$ using treap: <a href="https://codeforces.com/contest/1261/submission/65765526">code</a></p><p>Also, you can notice that in this problem, reversing a range is only going to change the value of two positions (start and end of the range). So you can implement the reverse operation with a simple segment tree (by updating both ends of the range only). Finding the first position to the right equal to a value can be done in more than one way using the same segment tree. For example:</p> <ul> <li>Binary search over prefixes starting in each position in $$$O(log^2(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766647">code</a>.</li> <li>Descending over the nodes of the segment tree, achieving $$$O(log(n))$$$: <a href="https://codeforces.com/contest/1261/submission/65766342">code</a>.</li> </ul><p>I didn't explain every detail in case someone wants to think about them. I'm not sure whether a $$$O(n)$$$ solution exists. Feel free to ask anything :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560692 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560692 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560692"> </ul> </div> </li> <li> <div class="comment"> <table class="comment-table" commentId="560697" commentParentId="560649"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Maksim1744" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/Maksim1744" title="International Grandmaster Maksim1744" class="rated-user user-red">Maksim1744</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 21:55">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560697" href="?#comment-560697" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560649" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560697" revisionCount="4" revision="4"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">4</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560697" class="CommentVoteFrame" data-commentRating="11" data-commentUserId="727211" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+11</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560697"> <div class="moveup"> <div class="ttypography"><p>Actually it can be done in $$$O(n)$$$. Here is my code: <a href="https://codeforces.com/contest/1261/submission/65767515">65767515</a></p><p>The main idea is to create pointers <code>first_opened</code> and <code>first_closed</code> for first <code>(</code> and <code>)</code> in <code>s</code> and just update them. The solution is similar to the solution in the editorial. But every time when $$$s[i] \neq t[i]$$$, look at the substring <code>s[i..max(first_opened, first_closed)]</code>. It is either <code>(..()</code> or <code>)..)(</code>. Reverse can be done in $$$O(1)$$$ and after that you have to fix pointers, it is $$$O(n)$$$ total (details in the code).</p><p>Also, I'm pretty sure that there is no $$$o(n)$$$ solution :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560697 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560697 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560697"> <li> <div class="comment"> <table class="comment-table" commentId="567070" commentParentId="560697"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/24/2019 20:48">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-567070" href="?#comment-567070" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560697" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="567070" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-567070"> <div class="moveup"> <div class="ttypography"><p>My solution works in O(n) time which I think is a bit different than yours. <a href="/contest/1261/submission/67442807" title="Submission 67442807 by towrist">67442807</a></p></div> </div> </div> <div class="reply info"> <a class="comment-567070 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-567070 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-567070"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560677" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 19:45">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560677" href="?#comment-560677" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560677" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560677"> <div class="moveup"> <div class="ttypography"><p>I saw solutions for B1, B2 using Segment Tree and BIT. How can we find kth smallest element in set using those 2 data structures? I solved it using ordered_set (PBDS in GNU).</p><p>Also, is insertion operation also supported with this trick (with the use of BIT/SegTree)?</p></div> </div> </div> <div class="reply info"> <a class="comment-560677 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560677 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560677"> <li> <div class="comment"> <table class="comment-table" commentId="560689" commentParentId="560677"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lrvideckis" style="position: relative;"> <img src='https://userpic.codeforces.org/522387/avatar/c86da62cb9e8fe4c.jpg'/> </a> <div><a href="/profile/lrvideckis" title="Master lrvideckis" class="rated-user user-orange">lrvideckis</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:56">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560689" href="?#comment-560689" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560677" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560689" class="CommentVoteFrame" data-commentRating="1" data-commentUserId="522387" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+1</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560689"> <div class="moveup"> <div class="ttypography"><p><a href="https://cp-algorithms.com/data_structures/segment_tree.html#toc-tgt-7">find_kth</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560689 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560689 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560689"> <li> <div class="comment"> <table class="comment-table" commentId="560700" commentParentId="560689"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/iprakhar22" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/iprakhar22" title="Expert iprakhar22" class="rated-user user-blue">iprakhar22</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 22:36">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560700" href="?#comment-560700" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560689" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560700" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="714880" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560700"> <div class="moveup"> <div class="ttypography"><p>Thank you :)</p></div> </div> </div> <div class="reply info"> <a class="comment-560700 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560700 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560700"> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560686" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Java" style="position: relative;"> <img src='https://userpic.codeforces.org/475005/avatar/c1ff1750c8d5a83d.jpg'/> </a> <div><a href="/profile/Java" title="Candidate Master Java" class="rated-user user-violet">Java</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/26/2019 20:32">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560686" href="?#comment-560686" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="560686" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="475005" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560686"> <div class="moveup"> <div class="ttypography"><p>You can do the hard version of optimal subsequences with online queries using sortings and a mergesort tree. Here is my solution: <a href="https://codeforces.com/contest/1262/submission/65675557">https://codeforces.com/contest/1262/submission/65675557</a></p></div> </div> </div> <div class="reply info"> <a class="comment-560686 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560686 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560686"> <li> <div class="comment"> <table class="comment-table" commentId="562912" commentParentId="560686"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Mlxa" style="position: relative;"> <img src='https://userpic.codeforces.org/615586/avatar/33a88935f19d5f3d.jpg'/> </a> <div><a href="/profile/Mlxa" title="Master Mlxa" class="rated-user user-orange">Mlxa</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/07/2019 19:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-562912" href="?#comment-562912" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-560686" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="562912" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="615586" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-562912"> <div class="moveup"> <div class="ttypography"><p>Also you can compute persistent segment tree for each prefix that will store for each value count of it. And you will just go down in this tree in O(log n) to find min prefix with sum >= k.</p></div> </div> </div> <div class="reply info"> <a class="comment-562912 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-562912 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-562912"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560755" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ballerbuoy" style="position: relative;"> <img src='https://userpic.codeforces.org/840103/avatar/ec2129913c6e104f.jpg'/> </a> <div><a href="/profile/ballerbuoy" title="Expert ballerbuoy" class="rated-user user-blue">ballerbuoy</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 08:51">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560755" href="?#comment-560755" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560755" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560755" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="840103" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560755"> <div class="moveup"> <div class="ttypography"><p>The issue is solved.</p></div> </div> </div> <div class="reply info"> <a class="comment-560755 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560755 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560755"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="560766" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/EMEJ" style="position: relative;"> <img src='https://userpic.codeforces.org/767749/avatar/a5154cfcdd76e1b7.jpg'/> </a> <div><a href="/profile/EMEJ" title="Master EMEJ" class="rated-user user-orange">EMEJ</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/27/2019 11:27">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-560766" href="?#comment-560766" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="560766" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="560766" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="767749" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-560766"> <div class="moveup"> <div class="ttypography"><p>Can somebody please explain why we should multiply the answer by <em>k^(n-t)</em> in <em>div1D/div2F</em> i think the n-t other answers have fewer possibilities</p></div> </div> </div> <div class="reply info"> <a class="comment-560766 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-560766 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-560766"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561186" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Y24" style="position: relative;"> <img src='https://userpic.codeforces.org/934596/avatar/e8fca72bd2439653.jpg'/> </a> <div><a href="/profile/Y24" title="Unrated, Y24" class="rated-user user-black">Y24</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 11:25">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561186" href="?#comment-561186" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561186" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="934596" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561186"> <div class="moveup"> <div class="ttypography"><p>Sorry, but I have tried hard but still can't understand the given solution of <em>1261E</em> ,I wonder what's the meaning of <em>operations for {4,1}</em> and the later stuff? Looking for your reply (:</p></div> </div> </div> <div class="reply info"> <a class="comment-561186 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561186 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561186"> <li> <div class="comment"> <table class="comment-table" commentId="561202" commentParentId="561186"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/mystery" style="position: relative;"> <img src='https://userpic.codeforces.org/453632/avatar/4c84e92380deed66.jpg'/><img title='Badge of honor for supporting Codeforces on its 10th anniversary' src='//codeforces.org/s/81027/images/if_medal-bronze-blue_46108.png' style='position:absolute;bottom:-4px;right:-6px'/> </a> <div><a href="/profile/mystery" title="International Grandmaster mystery" class="rated-user user-red">mystery</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/29/2019 13:54">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561202" href="?#comment-561202" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561186" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561202" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="453632" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561202"> <div class="moveup"> <div class="ttypography"><p>I'm sorry if the editorial is hard to understand. {4,1} means that we currently iterated through two elements in A, namely 4 and 1. If the next element in A is 1, then there are three numbers we handled, {4,1,1}. Be careful not to mix it up with the "compressed set".</p></div> </div> </div> <div class="reply info"> <a class="comment-561202 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561202 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561202"> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561690" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Nov/30/2019 22:39">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561690" href="?#comment-561690" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561690" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561690"> <div class="moveup"> <div class="ttypography"><p>I solved problem E using the concept entropy, you can see it <a href="https://codeforces.com/contest/1261/submission/66071220">here</a>.</p></div> </div> </div> <div class="reply info"> <a class="comment-561690 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561690 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561690"> <li> <div class="comment"> <table class="comment-table" commentId="563287" commentParentId="561690"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/anag004" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/anag004" title="Expert anag004" class="rated-user user-blue">anag004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/10/2019 12:53">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563287" href="?#comment-563287" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-561690" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="563287" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="155884" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563287"> <div class="moveup"> <div class="ttypography"><p>Can you give a brief explanation of your solution? How have you used entropy here?</p></div> </div> </div> <div class="reply info"> <a class="comment-563287 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563287 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563287"> <li> <div class="comment"> <table class="comment-table" commentId="1068641" commentParentId="563287"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:12">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068641" href="?#comment-1068641" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-563287" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="1068641" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068641"> <div class="moveup"> <div class="ttypography"><p>First, I don't have a proof for my solution, but I can explain the process to let you understand what I'm thinking. First, change the original problem to this: Make $$$n$$$ subsets of $$${1,...,n+1}$$$,call them $$$T_1,...,T_n$$$. And, these should hold: $$$|T_s|=a_s$$$, for any $$$i\neq j\in [1,n+1]$$$, $$${k|i\in T_k}\neq{k|j\in T_k}$$$. This means, we should use $$$n$$$ sets to tell $$$n+1$$$ elements apart. And now, there comes the entropy. If you have some sets $$$T_1,...,T_s$$$, then you use these $$$s$$$ sets to make the $$$n+1$$$ elements some classes $$$C_1,...,C_q$$$, and the entropy of this state is:</p> <center>$$$S(T_1,...,T_s):=-\sum_{t=1}^q[|C_q|/(n+1)]\log[|C_q|/(n+1)]$$$</center><p>and the goal is to make $S(T_1,...,T_n)=(n+1)\log[n+1]$. Until now, there is nothing unproved. To achieve the goal, I choose greedy. Say, I already have $$$T_1,...,T_s$$$, how do I choose $$$T_{s+1}$$$, the way I use is to maximize $$$S(T_1,...,T_s,T_{s+1})$$$ without change the choice of $$$T_1,...,T_s$$$. </p></div> </div> </div> <div class="reply info"> <a class="comment-1068641 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068641 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068641"> <li> <div class="comment"> <table class="comment-table" commentId="1068649" commentParentId="1068641"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/erogame" style="position: relative;"> <img src='https://userpic.codeforces.org/218705/avatar/da6f5475caeca901.jpg'/> </a> <div><a href="/profile/erogame" title="Candidate Master erogame" class="rated-user user-violet">erogame</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/15/2023 12:46">3 weeks ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-1068649" href="?#comment-1068649" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-1068641" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="1068649" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="1068649" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="218705" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-1068649"> <div class="moveup"> <div class="ttypography"><p>I found that I was stupid. The proof for this is really easy, and, the proof will lead to a much easier way to solve the problem. I didn't read the tutorial, but I guess the solution tutorial is the "much easier way". Because for each $$$s$$$, there is at least one way to choose the $$$T_s$$$, so the number of classes will add one.</p></div> </div> </div> <div class="reply info"> <a class="comment-1068649 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-1068649 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-1068649"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="561804" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/abhinav_jain02" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/abhinav_jain02" title="Expert abhinav_jain02" class="rated-user user-blue">abhinav_jain02</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/01/2019 18:19">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-561804" href="?#comment-561804" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="561804" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="807590" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-561804"> <div class="moveup"> <div class="ttypography"><p>Problem : Arson in Berland Forest</p><p>How to do "add value on a rectangle" (using prefix sums)" ?</p></div> </div> </div> <div class="reply info"> <a class="comment-561804 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-561804 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-561804"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="563213" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/itsmihir" style="position: relative;"> <img src='https://userpic.codeforces.org/933918/avatar/b9635f1114ea09cf.jpg'/> </a> <div><a href="/profile/itsmihir" title="Expert itsmihir" class="rated-user user-blue">itsmihir</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Dec/09/2019 15:50">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-563213" href="?#comment-563213" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="563213" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="563213" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="933918" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-563213"> <div class="moveup"> <div class="ttypography"><p>.</p></div> </div> </div> <div class="reply info"> <a class="comment-563213 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-563213 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-563213"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="580540" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/lucifer1004" style="position: relative;"> <img src='https://userpic.codeforces.org/1200541/avatar/407a3847bec8a7ec.jpg'/> </a> <div><a href="/profile/lucifer1004" title="Master lucifer1004" class="rated-user user-orange">lucifer1004</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Feb/14/2020 09:58">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-580540" href="?#comment-580540" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="580540" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1200541" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-580540"> <div class="moveup"> <div class="ttypography"><p>What if we want to minimize number of operations in 1261A?</p></div> </div> </div> <div class="reply info"> <a class="comment-580540 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-580540 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-580540"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594382" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/ajit" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/ajit" title="Master ajit" class="rated-user user-orange">ajit</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/29/2020 09:20">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594382" href="?#comment-594382" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="594382" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="834182" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594382"> <div class="moveup"> <div class="ttypography"><p>How to solve 1261 C if we should also minimize the initial number of burnt trees for a particular maximum value?</p></div> </div> </div> <div class="reply info"> <a class="comment-594382 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594382 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594382"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="594681" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/30/2020 02:46">4 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-594681" href="?#comment-594681" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="594681" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="594681" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-594681"> <div class="moveup"> <div class="ttypography"><p>1261C (Arson in Berland Forest) is doable in $$$O(nm)$$$ time by finding the largest square with lower-right corner at each cell, and then applying the skyline algorithm twice (once vertically, once horizontally on the result of the vertical). Normally the skyline problem is solvable only in $$$O(n\log n)$$$ time, however in this case we don't have any "nested" segments (i.e. a pair of segments s.t. one is higher the other and also contained within it), so I was able to solve it using a deque rather than a priority queue (as would normally be used to solve skyline). This allows us to generate a table <code>M</code> s.t. <code>M[i][j]</code> is the size of the largest square which contains the cell <code>(i, j)</code>. Now just find the smallest positive element of <code>M</code> and that's the answer. (From here, finding a valid set of initial points is trivial)</p><p>My code here: <a href="/contest/1227/submission/74775877" title="Submission 74775877 by emorgan5289">74775877</a></p></div> </div> </div> <div class="reply info"> <a class="comment-594681 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-594681 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-594681"> <li> <div class="comment"> <table class="comment-table" commentId="606959" commentParentId="594681"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/18/2020 20:44">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-606959" href="?#comment-606959" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-594681" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="606959" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-606959"> <div class="moveup"> <div class="ttypography"><p><a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a> Can you explain how have you used skyline to create M[i,j]? Hard to understand from your code.</p></div> </div> </div> <div class="reply info"> <a class="comment-606959 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-606959 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-606959"> <li> <div class="comment"> <table class="comment-table" commentId="607016" commentParentId="606959"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 02:24">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607016" href="?#comment-607016" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-606959" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607016" revisionCount="2" revision="2"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">2</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607016" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607016"> <div class="moveup"> <div class="ttypography"><p>First, I build a table <code>sz</code> where <code>sz[i][j]</code> is the size of the largest square with lower-right corner at cell <code>(i, j)</code>. This is a classical problem solved by dynamic programming.</p><p>Then, I consider each row one at a time. For each index <code>j</code>, I would like to update the values of <code>sz</code> to the left of <code>j</code>, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row. To do this, I simply consider all such squares (i.e. all values in that row), and perform range max updates on that specific row on the interval covered by each square. The skyline algorithm actually allows us to do this in $$$O(n)$$$ time. The way it works is quite complicated, and I don't think I know how to explain it at a basic level.</p><p>Then, we just do the same thing on columns instead of rows, and <code>sz</code> now holds the values of the desired array <code>M</code> which i mentioned in my previous comment.</p></div> </div> </div> <div class="reply info"> <a class="comment-607016 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607016 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607016"> <li> <div class="comment"> <table class="comment-table" commentId="607473" commentParentId="607016"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/razor94_" style="position: relative;"> <img src='https://userpic.codeforces.org/no-avatar.jpg'/> </a> <div><a href="/profile/razor94_" title="Pupil razor94_" class="rated-user user-green">razor94_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/19/2020 23:48">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607473" href="?#comment-607473" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607016" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;"> <span style="" commentId="607473" revisionCount="3" revision="3"> <a href="#" style="text-decoration:none;font-size:1.4rem;color:#bebebe;" class="leftRevision">←</a> Rev. <span class="revision">3</span> <a href="#" style="text-decoration:none;font-size:1.4rem;visibility:hidden;color:#bebebe;" class="rightRevision">→</a> </span>   <span commentid="607473" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1180754" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607473"> <div class="moveup"> <div class="ttypography"><p>Thanks <a class="rated-user user-orange" href="/profile/emorgan5289" title="Master emorgan5289">emorgan5289</a>! Your this line makes sense to me — <strong>"update the values of sz to the left of j, in a way that makes it such that the value in each cell corresponds to the size of the largest square containing that point, with lower-right corner somewhere in that row".</strong> Some print statements in your code helped me to understand the while loops in skyline algo. As per my understanding, use of the first, second while loop is as per image1, image2 respectively.<br />image 1 — <a href="https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0">https://www.dropbox.com/s/ixjh6pbje3tbv0j/pic1.jpg?dl=0</a></p><p>image2 — <a href="https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0">https://www.dropbox.com/s/571zalnyq5mzs8m/pic2.jpg?dl=0</a></p><p>But why are we doing skyline columnwise as well? After rowwise operation we already have max square which contains (i,j).</p></div> </div> </div> <div class="reply info"> <a class="comment-607473 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607473 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607473"> <li> <div class="comment"> <table class="comment-table" commentId="607561" commentParentId="607473"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/emorgan5289" style="position: relative;"> <img src='https://userpic.codeforces.org/1314759/avatar/62cf04aa3aa970e8.jpg'/> </a> <div><a href="/profile/emorgan5289" title="International Grandmaster emorgan5289" class="rated-user user-red">emorgan5289</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Apr/20/2020 08:10">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-607561" href="?#comment-607561" style="font-size:1.2em;">#</a></span> <span class="item"><a title="Parent comment" href="#comment-607473" style="font-size:1.2em;">^</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="607561" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1314759" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-607561"> <div class="moveup"> <div class="ttypography"><p>After the row-wise operation, <code>sz[i][j]</code> stores the size of the largest square which contains <code>(i, j)</code>, and also has lower-right corner in that same row. However, we need to consider squares from lower rows as well. So we perform a second column-wise pass to propagate the values from lower rows upwards. The end result is that each cell storing value $$$s$$$ updates an $$$s$$$ by $$$s$$$ square up and to the left, rather than just to the left along the row.</p></div> </div> </div> <div class="reply info"> <a class="comment-607561 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-607561 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-607561"> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> </li> </ul> </div> <div class="comment"> <table class="comment-table" commentId="672398" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/_pastor_" style="position: relative;"> <img src='https://userpic.codeforces.org/1338357/avatar/297d02cc468607c0.jpg'/> </a> <div><a href="/profile/_pastor_" title="Expert _pastor_" class="rated-user user-blue">_pastor_</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Jul/31/2020 14:03">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-672398" href="?#comment-672398" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="672398" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1338357" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-672398"> <div class="moveup"> <div class="ttypography"><p>D2 can be solved very easily using ordered_set (for c++) <a href="https://codeforces.com/contest/1227/submission/88584680">https://codeforces.com/contest/1227/submission/88584680</a></p></div> </div> </div> <div class="reply info"> <a class="comment-672398 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-672398 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-672398"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694272" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/towrist" style="position: relative;"> <img src='https://userpic.codeforces.org/1183708/avatar/b56bbf103a0c9a5d.jpg'/> </a> <div><a href="/profile/towrist" title="Master towrist" class="rated-user user-orange">towrist</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/11/2020 11:34">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694272" href="?#comment-694272" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694272" class="CommentVoteFrame" data-commentRating="3" data-commentUserId="1183708" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:green;font-weight:bold;">+3</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694272"> <div class="moveup"> <div class="ttypography"><p>I did Arson in Berland Forest by using (inventing ^_^) 2-dimensional sweepline algorithm. Have a look : <a href="/contest/1261/submission/92480981" title="Submission 92480981 by towrist">92480981</a></p></div> </div> </div> <div class="reply info"> <a class="comment-694272 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694272 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694272"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="694559" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/AjaySabarish" style="position: relative;"> <img src='https://userpic.codeforces.org/557854/avatar/cd50b6301d5c835a.jpg'/> </a> <div><a href="/profile/AjaySabarish" title="Expert AjaySabarish" class="rated-user user-blue">AjaySabarish</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Sep/12/2020 16:05">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-694559" href="?#comment-694559" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="694559" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="557854" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-694559"> <div class="moveup"> <div class="ttypography"><p>In DIV2E/DIV1 C, the wording of this statement could have been better <strong>You are sure that all burnt trees are shown on the map. All the trees outside the map are undamaged</strong>. " <strong>are undamaged</strong> " should have been replaced with " <strong>should be undamaged</strong> "</p></div> </div> </div> <div class="reply info"> <a class="comment-694559 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-694559 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-694559"> </ul> </div> <div class="comment"> <table class="comment-table" commentId="771459" commentParentId="-1"> <tr> <td class="left"> <div style="position: absolute; left: 0;" class="comment-indent-holder"> <div class="comment-no-indent"> <span>»</span> </div> </div> <div class="avatar"> <a href="/profile/Electron" style="position: relative;"> <img src='https://userpic.codeforces.org/1379243/avatar/1c44f9dc97d6f6e8.jpg'/> </a> <div><a href="/profile/Electron" title="Candidate Master Electron" class="rated-user user-violet">Electron</a></div> </div> </td> <td class="right"> <div class="info"> <span class="item"><span class="format-humantime" title="Mar/16/2021 19:42">3 years ago</span>,</span> <span class="item"><a title="Link to comment" name="comment-771459" href="?#comment-771459" style="font-size:1.2em;">#</a></span> <span class="item">|</span> <span style="position: relative; top: 2px;"> </span> <div style="position:absolute;right:0;top:0;">   <span commentid="771459" class="CommentVoteFrame" data-commentRating="0" data-commentUserId="1379243" style="position:relative;" > <a href="#" class="vote-for-comment" voteDirection="1" dd="x"><img style="position:relative;top:3px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-voteup-blue.png" alt="Vote: I like it" title="Vote: I like it"/></a> <span class="commentRating"><span style="color:gray;font-weight:bold;">0</span></span> <a href="#" class="vote-for-comment" voteDirection="-1" dd="y"><img style="position:relative;top:2px;opacity:0.35;" src="//codeforces.org/s/81027/images/actions/comment-votedown-blue.png" alt="Vote: I do not like it" title="Vote: I do not like it"/></a> </span> </div> </div> <div class="comment-content comment-content-771459"> <div class="moveup"> <div class="ttypography"><p>I tried to solve problem D2 of Div-2 using segment tree, where I am just assigning new indexes discovered in queries(sorted) to 1 and finding the pos-th 1. But it is giving WA on test 10. Can anyone please help me in finding what I did wrong. Thanks.</p><p><a href="https://codeforces.com/contest/1262/submission/110093210">https://codeforces.com/contest/1262/submission/110093210</a></p></div> </div> </div> <div class="reply info"> <a class="comment-771459 en false" href="#" style="text-decoration: none;"><span class="arrow">→</span></a> <a class="comment-771459 en false" href="#">Reply</a> </div> </td> </tr> </table> <ul class="comment-children comment-771459"> </ul> </div> <br/> <div id="editBox-77040" style="width:50em;display:none;"> <div class="previewBody" style="border: 1px solid #d4d4d4; margin-bottom: 0.5em; padding: 0.25em; display:none;"> </div> <div style="width: 1px"> </div> <div class="commentLocale" style="position: relative; top: 0.5em;left:4px;display: none;"> <input type="radio" name="locale" value="en"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In English</span> <input style="margin-left:1em" type="radio" name="locale" value="ru"><span style="font-size: 1.2rem;position: relative; bottom: 3px;">In Russian</span> </div> <textarea data-drafts-id="CommentReplyFrame" class="wysiwyg" name="editContent" rows="20" style="width:99%;"></textarea> <div class="error error__content"></div> <div style="text-align:center;"> <input type="button" name="preview" style="padding: 0.25em 1em; 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1263A

1263

A

ru

A. Сладкая задача

<div class="problem-statement"><div class="header"><div class="title">A. Сладкая задача</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У вас есть три кучи сладостей, состоящие из красных, зеленых и синих конфет:</p><ul> <li> первая куча состоит только из $$$r$$$ красных конфет, </li><li> вторая куча состоит только из $$$g$$$ зеленых конфет, </li><li> третья куча состоит только из $$$b$$$ синих конфет. </li></ul><p>Каждый день Таня съедает ровно две конфеты различных цветов. Она выбирает любые цвета конфет, единственное ограничение - она не может съесть две конфеты одного цвета за один день.</p><p>Найдите максимальное количество дней, в течение которых Таня может есть сладости. Каждый день Таня должна съедать ровно две конфеты.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит одно целое число $$$t$$$ ($$$1 \le t \le 1000$$$) — количество наборов входных данных. Далее следуют $$$t$$$ независимых наборов входных данных.</p><p>Каждый набор состоит из одной строки, в которой находятся три целых числа $$$r$$$, $$$g$$$ и $$$b$$$ ($$$1 \le r, g, b \le 10^8$$$) — количество красных, зеленых и синих конфет соответственно.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел: $$$i$$$-е число соответствует ответу на $$$i$$$-й набор данных.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 1 1 1 1 2 1 4 1 1 7 4 10 8 1 4 8 2 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 2 10 5 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере Таня может есть конфеты только в течение одного дня. Она может съесть любую пару конфет, потому что все они различного цвета.</p><p>Во втором примере Таня может есть конфеты в течение двух дней. Например, она может съесть красную и зеленую конфету в первый день и зеленую и синюю конфету во второй день.</p><p>В третьем примере Таня может есть конфеты в течение двух дней. Например, она может съесть красную и зеленую конфету в первый день и красную и синюю во второй день. Заметьте, что две красные конфеты остались не съедены.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71803" title="Codeforces Round #603 (Div. 2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9964:9965" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=en" title="Codeforces Round #603 (Div. 2) Editorial" target="_blank">Разбор задач №1 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9975" resourceName="Codeforces Round #603 (Div. 2) Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=ru" title="Разбор Codeforces Round #603 (Div. 2)" target="_blank">Разбор задач №2 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9976" resourceName="Разбор Codeforces Round #603 (Div. 2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1263">Задачи</a></li> <li><a href="/contest/1263/submit">Отослать</a></li> <li><a href="/contest/1263/my">Мои посылки</a></li> <li><a href="/contest/1263/status">Статус</a></li> <li><a href="/contest/1263/hacks">Взломы</a></li> <li><a href="/contest/1263/room/1">Комната</a></li> <li><a href="/contest/1263/standings">Положение</a></li> <li><a href="/contest/1263/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_4e65bb40c3491ef9c3d38746d0336a06ef2ebf3e"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Сладкая задача</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У вас есть три кучи сладостей, состоящие из красных, зеленых и синих конфет:</p><ul> <li> первая куча состоит только из $$$r$$$ красных конфет, </li><li> вторая куча состоит только из $$$g$$$ зеленых конфет, </li><li> третья куча состоит только из $$$b$$$ синих конфет. </li></ul><p>Каждый день Таня съедает ровно две конфеты различных цветов. Она выбирает любые цвета конфет, единственное ограничение - она не может съесть две конфеты одного цвета за один день.</p><p>Найдите максимальное количество дней, в течение которых Таня может есть сладости. Каждый день Таня должна съедать ровно две конфеты.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит одно целое число $$$t$$$ ($$$1 \le t \le 1000$$$) — количество наборов входных данных. Далее следуют $$$t$$$ независимых наборов входных данных.</p><p>Каждый набор состоит из одной строки, в которой находятся три целых числа $$$r$$$, $$$g$$$ и $$$b$$$ ($$$1 \le r, g, b \le 10^8$$$) — количество красных, зеленых и синих конфет соответственно.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел: $$$i$$$-е число соответствует ответу на $$$i$$$-й набор данных.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 1 1 1 1 2 1 4 1 1 7 4 10 8 1 4 8 2 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 2 10 5 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере Таня может есть конфеты только в течение одного дня. Она может съесть любую пару конфет, потому что все они различного цвета.</p><p>Во втором примере Таня может есть конфеты в течение двух дней. Например, она может съесть красную и зеленую конфету в первый день и зеленую и синюю конфету во второй день.</p><p>В третьем примере Таня может есть конфеты в течение двух дней. Например, она может съесть красную и зеленую конфету в первый день и красную и синюю во второй день. Заметьте, что две красные конфеты остались не съедены.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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["\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "*1100"]

1263B

1263

B

ru

B. ПИН-коды

<div class="problem-statement"><div class="header"><div class="title">B. ПИН-коды</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>ПИН-код — это строка, которая состоит ровно из $$$4$$$ цифр. Примеры возможных ПИН-кодов: «<span class="tex-font-style-tt">7013</span>», «<span class="tex-font-style-tt">0000</span>» и «<span class="tex-font-style-tt">0990</span>». Обратите внимание, что ПИН-код может начинаться с любой цифры, даже с <span class="tex-font-style-tt">0</span>.</p><p>У Поликарпа есть $$$n$$$ ($$$2 \le n \le 10$$$) банковских карт, ПИН-код $$$i$$$-й карты равен $$$p_i$$$.</p><p>Недавно Поликарп прочёл рекомендацию, что на разные карты лучше устанавливать различные ПИН-коды. Поэтому он хочет поменять наименьшее количество цифр в ПИН-кодах своих карт так, чтобы все $$$n$$$ кодов оказались различными.</p><p>Формально говоря, за один шаг Поликарп берёт одну банковскую карту с номером $$$i$$$ ($$$1 \le i \le n$$$), затем в её ПИН-коде $$$p_i$$$ выбирает одну позицию (от $$$1$$$ до $$$4$$$), и изменяет цифру в этой позиции на любую другую. Ему необходимо за наименьшее количество шагов сделать так, чтобы не существовало пары одинаковых ПИН-кодов.</p><p>Поликарп быстро справился с этой задачей. А сможете ли вы её решить?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. </p><p>В следующих строках следуют описания $$$t$$$ наборов входных данных. Первая строка каждого набора содержит целое число $$$n$$$ ($$$2 \le n \le 10$$$) — количество ПИН-кодов у Поликарпа. В следующих $$$n$$$ строках содержатся ПИН-коды $$$p_1, p_2, \dots, p_n$$$ — по одному в строке. Длина каждого из них равна $$$4$$$. Все ПИН-коды состоят только из цифр.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответы на $$$t$$$ заданных наборов входных данных. Ответ на каждый набор должен состоять из $$$n + 1$$$ строки. </p><p>В первую строку выведите $$$k$$$ — наименьшее количество изменений, чтобы сделать все ПИН-коды различными. Далее в $$$n$$$ строках выведите изменённые ПИН-коды в порядке, соответствующем их порядку во входных данных. Если существует несколько оптимальных ответов, выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 2 1234 0600 2 1337 1337 4 3139 3139 3139 3139 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1234 0600 1 1337 1237 3 3139 3138 3939 6139 </pre></div></div></div></div>

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background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *1400 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='d645338206dc609817f5f3309cfdb9a3'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="483578"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='d645338206dc609817f5f3309cfdb9a3'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="483578"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71803" title="Codeforces Round #603 (Div. 2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9964:9965" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=en" title="Codeforces Round #603 (Div. 2) Editorial" target="_blank">Разбор задач №1 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9975" resourceName="Codeforces Round #603 (Div. 2) Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=ru" title="Разбор Codeforces Round #603 (Div. 2)" target="_blank">Разбор задач №2 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9976" resourceName="Разбор Codeforces Round #603 (Div. 2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1263">Задачи</a></li> <li><a href="/contest/1263/submit">Отослать</a></li> <li><a href="/contest/1263/my">Мои посылки</a></li> <li><a href="/contest/1263/status">Статус</a></li> <li><a href="/contest/1263/hacks">Взломы</a></li> <li><a href="/contest/1263/room/1">Комната</a></li> <li><a href="/contest/1263/standings">Положение</a></li> <li><a href="/contest/1263/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_22ce233222c8121bf46034c2071d7ce208f938c0"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. ПИН-коды</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>ПИН-код — это строка, которая состоит ровно из $$$4$$$ цифр. Примеры возможных ПИН-кодов: «<span class="tex-font-style-tt">7013</span>», «<span class="tex-font-style-tt">0000</span>» и «<span class="tex-font-style-tt">0990</span>». Обратите внимание, что ПИН-код может начинаться с любой цифры, даже с <span class="tex-font-style-tt">0</span>.</p><p>У Поликарпа есть $$$n$$$ ($$$2 \le n \le 10$$$) банковских карт, ПИН-код $$$i$$$-й карты равен $$$p_i$$$.</p><p>Недавно Поликарп прочёл рекомендацию, что на разные карты лучше устанавливать различные ПИН-коды. Поэтому он хочет поменять наименьшее количество цифр в ПИН-кодах своих карт так, чтобы все $$$n$$$ кодов оказались различными.</p><p>Формально говоря, за один шаг Поликарп берёт одну банковскую карту с номером $$$i$$$ ($$$1 \le i \le n$$$), затем в её ПИН-коде $$$p_i$$$ выбирает одну позицию (от $$$1$$$ до $$$4$$$), и изменяет цифру в этой позиции на любую другую. Ему необходимо за наименьшее количество шагов сделать так, чтобы не существовало пары одинаковых ПИН-кодов.</p><p>Поликарп быстро справился с этой задачей. А сможете ли вы её решить?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных в тесте. </p><p>В следующих строках следуют описания $$$t$$$ наборов входных данных. Первая строка каждого набора содержит целое число $$$n$$$ ($$$2 \le n \le 10$$$) — количество ПИН-кодов у Поликарпа. В следующих $$$n$$$ строках содержатся ПИН-коды $$$p_1, p_2, \dots, p_n$$$ — по одному в строке. Длина каждого из них равна $$$4$$$. Все ПИН-коды состоят только из цифр.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответы на $$$t$$$ заданных наборов входных данных. Ответ на каждый набор должен состоять из $$$n + 1$$$ строки. </p><p>В первую строку выведите $$$k$$$ — наименьшее количество изменений, чтобы сделать все ПИН-коды различными. Далее в $$$n$$$ строках выведите изменённые ПИН-коды в порядке, соответствующем их порядку во входных данных. Если существует несколько оптимальных ответов, выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 2 1234 0600 2 1337 1337 4 3139 3139 3139 3139 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1234 0600 1 1337 1237 3 3139 3138 3939 6139 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "*1400"]

1263C

1263

C

ru

C. Вы все уже победители!

<div class="problem-statement"><div class="header"><div class="title">C. Вы все уже победители!</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>На всеми известной тестирующей системе MathForces устраивается розыгрыш $$$n$$$ единиц рейтинга. Раздача рейтинга будет происходить по следующему алгоритму: если в мероприятии принимает участие $$$k$$$ участников, то $$$n$$$ рейтинга поровну распределяется между ними и округляется в сторону ближайшего меньшего целого числа. По окончании распределения может остаться неиспользованный рейтинг — он не достаётся никому из участников.</p><p>К примеру, если $$$n = 5$$$ и $$$k = 3$$$, то каждый участник получит $$$1$$$ единицу рейтинга, а также $$$2$$$ единицы рейтинга останутся неиспользованными. Если же $$$n = 5$$$, а $$$k = 6$$$, то ни у кого из участников не увеличится рейтинг.</p><p>Вася участвует в этом розыгрыше рейтинга, но не владеет информацией об общем количестве участников этого мероприятия. Поэтому он хочет узнать, какие различные значения приращения рейтинга он может получить в результате этого розыгрыша, и просит Вас о помощи. </p><p>Например, если $$$n=5$$$, то искомый ответ равен последовательности $$$0, 1, 2, 5$$$. Каждое из значений последовательности (и только они) может быть получено как $$$\lfloor n/k \rfloor$$$ для некоторое подходящего целого положительного $$$k$$$ (где $$$\lfloor x \rfloor$$$ — округлённое вниз значение $$$x$$$): $$$0 = \lfloor 5/7 \rfloor$$$, $$$1 = \lfloor 5/5 \rfloor$$$, $$$2 = \lfloor 5/2 \rfloor$$$, $$$5 = \lfloor 5/1 \rfloor$$$.</p><p>Напишите программу, которая по заданному $$$n$$$ находит последовательность всех возможных приращений рейтинга.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10$$$) — количество наборов входных данных в тесте.</p><p>Далее следуют описания $$$t$$$ наборов входных данных, по одному описанию в строке. Каждая строка содержит целое число $$$n$$$ ($$$1 \le n \le 10^9$$$) — суммарное количество разыгрываемого рейтинга.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответы на $$$t$$$ заданных наборов входных данных. Каждый ответ должен состоять из двух строк.</p><p>В первой строке выведите число $$$m$$$ — количество различных значений приращения рейтинга, которые может получить Вася.</p><p>В следующей строке выведите $$$m$$$ различных чисел — сами значения приращения рейтинга <span class="tex-font-style-bf">в порядке возрастания</span>. </p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 5 11 1 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 0 1 2 5 6 0 1 2 3 5 11 2 0 1 3 0 1 3 </pre></div></div></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71803" title="Codeforces Round #603 (Div. 2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9964:9965" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=en" title="Codeforces Round #603 (Div. 2) Editorial" target="_blank">Разбор задач №1 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9975" resourceName="Codeforces Round #603 (Div. 2) Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=ru" title="Разбор Codeforces Round #603 (Div. 2)" target="_blank">Разбор задач №2 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9976" resourceName="Разбор Codeforces Round #603 (Div. 2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1263">Задачи</a></li> <li><a href="/contest/1263/submit">Отослать</a></li> <li><a href="/contest/1263/my">Мои посылки</a></li> <li><a href="/contest/1263/status">Статус</a></li> <li><a href="/contest/1263/hacks">Взломы</a></li> <li><a href="/contest/1263/room/1">Комната</a></li> <li><a href="/contest/1263/standings">Положение</a></li> <li><a href="/contest/1263/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_c0efd323b840aee114fa9c3043e933330eab9df9"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Вы все уже победители!</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>На всеми известной тестирующей системе MathForces устраивается розыгрыш $$$n$$$ единиц рейтинга. Раздача рейтинга будет происходить по следующему алгоритму: если в мероприятии принимает участие $$$k$$$ участников, то $$$n$$$ рейтинга поровну распределяется между ними и округляется в сторону ближайшего меньшего целого числа. По окончании распределения может остаться неиспользованный рейтинг — он не достаётся никому из участников.</p><p>К примеру, если $$$n = 5$$$ и $$$k = 3$$$, то каждый участник получит $$$1$$$ единицу рейтинга, а также $$$2$$$ единицы рейтинга останутся неиспользованными. Если же $$$n = 5$$$, а $$$k = 6$$$, то ни у кого из участников не увеличится рейтинг.</p><p>Вася участвует в этом розыгрыше рейтинга, но не владеет информацией об общем количестве участников этого мероприятия. Поэтому он хочет узнать, какие различные значения приращения рейтинга он может получить в результате этого розыгрыша, и просит Вас о помощи. </p><p>Например, если $$$n=5$$$, то искомый ответ равен последовательности $$$0, 1, 2, 5$$$. Каждое из значений последовательности (и только они) может быть получено как $$$\lfloor n/k \rfloor$$$ для некоторое подходящего целого положительного $$$k$$$ (где $$$\lfloor x \rfloor$$$ — округлённое вниз значение $$$x$$$): $$$0 = \lfloor 5/7 \rfloor$$$, $$$1 = \lfloor 5/5 \rfloor$$$, $$$2 = \lfloor 5/2 \rfloor$$$, $$$5 = \lfloor 5/1 \rfloor$$$.</p><p>Напишите программу, которая по заданному $$$n$$$ находит последовательность всех возможных приращений рейтинга.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10$$$) — количество наборов входных данных в тесте.</p><p>Далее следуют описания $$$t$$$ наборов входных данных, по одному описанию в строке. Каждая строка содержит целое число $$$n$$$ ($$$1 \le n \le 10^9$$$) — суммарное количество разыгрываемого рейтинга.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответы на $$$t$$$ заданных наборов входных данных. Каждый ответ должен состоять из двух строк.</p><p>В первой строке выведите число $$$m$$$ — количество различных значений приращения рейтинга, которые может получить Вася.</p><p>В следующей строке выведите $$$m$$$ различных чисел — сами значения приращения рейтинга <span class="tex-font-style-bf">в порядке возрастания</span>. </p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 5 11 1 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 0 1 2 5 6 0 1 2 3 5 11 2 0 1 3 0 1 3 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); 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["Meet-in-the-middle", "\u0411\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0422\u0435\u043e\u0440\u0438\u044f \u0447\u0438\u0441\u0435\u043b: \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u042d\u0439\u043b\u0435\u0440\u0430, \u041d\u041e\u0414, \u0434\u0435\u043b\u0438\u043c\u043e\u0441\u0442\u044c \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["meet-in-the-middle", "\u0431\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u0442\u0435\u043e\u0440\u0438\u044f \u0447\u0438\u0441\u0435\u043b", "*1400"]

1263D

1263

D

ru

D. Секретные пароли

<div class="problem-statement"><div class="header"><div class="title">D. Секретные пароли</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Один малоизвестный хакер захотел заполучить пароль администратора от тестирующей системы AtForces, чтобы узнать задачи с предстоящего контеста. Чтобы достичь этого, он пробрался в кабинет администратора и украл листочек, на котором записан список из $$$n$$$ паролей — строк, состоящих из строчных букв латинского алфавита.</p><p>Хакер вернулся домой и начал готовиться ко взлому. Он обнаружил, что в системе содержатся только пароли с украденного листочка, и что система определяет эквивалентность паролей $$$a$$$ и $$$b$$$ следующим образом: </p><ul> <li> два пароля $$$a$$$ и $$$b$$$ эквивалентны, если существует символ, который есть и в $$$a$$$, и в $$$b$$$; </li><li> два пароля $$$a$$$ и $$$b$$$ эквивалентны, если существует другой пароль $$$c$$$ из списка, которому эквивалентны одновременно и $$$a$$$, и $$$b$$$. </li></ul><p>Если в системе установлен некоторый пароль, а применяется ему эквивалентный, то пользователь получает доступ к системе.</p><p>К примеру, если в списке содержатся пароли «<span class="tex-font-style-tt">a</span>», «<span class="tex-font-style-tt">b</span>», «<span class="tex-font-style-tt">ab</span>», «<span class="tex-font-style-tt">d</span>», то с точки зрения системы пароли «<span class="tex-font-style-tt">a</span>», «<span class="tex-font-style-tt">b</span>», «<span class="tex-font-style-tt">ab</span>» эквивалентны друг другу, а пароль «<span class="tex-font-style-tt">d</span>» никакому другому не эквивалентен. Иначе говоря, если:</p><ul> <li> установленный пароль равен, например, «<span class="tex-font-style-tt">b</span>», то можно зайти в систему под любым из трёх паролей: «<span class="tex-font-style-tt">a</span>», «<span class="tex-font-style-tt">b</span>», «<span class="tex-font-style-tt">ab</span>»; </li><li> установленный пароль равен «<span class="tex-font-style-tt">d</span>», то можно зайти в систему только под паролем «<span class="tex-font-style-tt">d</span>». </li></ul><p>Известно, что <span class="tex-font-style-bf">ровно один</span> пароль из списка является паролем администратора от тестирующей системы. Помогите хакеру понять, какое минимальное количество паролей понадобится использовать при взломе, чтобы <span class="tex-font-style-bf">гарантированно</span> получить доступ к системе. Имейте в виду, что хакер не знает, какой именно пароль установлен в системе.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано число $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — количество паролей. В следующих $$$n$$$ строках заданы пароли администратора из списка — непустые строки $$$s_i$$$, длины которых не превышают $$$50$$$ символов. Некоторые строки могут совпадать.</p><p>Гарантируется, что суммарная длина всех паролей не превышает $$$10^6$$$ символов. Все они состоят только из строчных букв латинского алфавита.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В единственной строке выведите минимальное количество паролей, использование которых позволит <span class="tex-font-style-bf">гарантированно</span> получить доступ к системе.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 a b ab d </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2</pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 ab bc abc </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1</pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 codeforces </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1</pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Во втором примере необходимо использовать любой из паролей, чтобы получить доступ к системе.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71803" title="Codeforces Round #603 (Div. 2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9964:9965" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=en" title="Codeforces Round #603 (Div. 2) Editorial" target="_blank">Разбор задач №1 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9975" resourceName="Codeforces Round #603 (Div. 2) Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=ru" title="Разбор Codeforces Round #603 (Div. 2)" target="_blank">Разбор задач №2 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9976" resourceName="Разбор Codeforces Round #603 (Div. 2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1263">Задачи</a></li> <li><a href="/contest/1263/submit">Отослать</a></li> <li><a href="/contest/1263/my">Мои посылки</a></li> <li><a href="/contest/1263/status">Статус</a></li> <li><a href="/contest/1263/hacks">Взломы</a></li> <li><a href="/contest/1263/room/1">Комната</a></li> <li><a href="/contest/1263/standings">Положение</a></li> <li><a href="/contest/1263/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_5177ab0d19c6131bb698c9d52827619745385722"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Секретные пароли</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Один малоизвестный хакер захотел заполучить пароль администратора от тестирующей системы AtForces, чтобы узнать задачи с предстоящего контеста. Чтобы достичь этого, он пробрался в кабинет администратора и украл листочек, на котором записан список из $$$n$$$ паролей — строк, состоящих из строчных букв латинского алфавита.</p><p>Хакер вернулся домой и начал готовиться ко взлому. Он обнаружил, что в системе содержатся только пароли с украденного листочка, и что система определяет эквивалентность паролей $$$a$$$ и $$$b$$$ следующим образом: </p><ul> <li> два пароля $$$a$$$ и $$$b$$$ эквивалентны, если существует символ, который есть и в $$$a$$$, и в $$$b$$$; </li><li> два пароля $$$a$$$ и $$$b$$$ эквивалентны, если существует другой пароль $$$c$$$ из списка, которому эквивалентны одновременно и $$$a$$$, и $$$b$$$. </li></ul><p>Если в системе установлен некоторый пароль, а применяется ему эквивалентный, то пользователь получает доступ к системе.</p><p>К примеру, если в списке содержатся пароли «<span class="tex-font-style-tt">a</span>», «<span class="tex-font-style-tt">b</span>», «<span class="tex-font-style-tt">ab</span>», «<span class="tex-font-style-tt">d</span>», то с точки зрения системы пароли «<span class="tex-font-style-tt">a</span>», «<span class="tex-font-style-tt">b</span>», «<span class="tex-font-style-tt">ab</span>» эквивалентны друг другу, а пароль «<span class="tex-font-style-tt">d</span>» никакому другому не эквивалентен. Иначе говоря, если:</p><ul> <li> установленный пароль равен, например, «<span class="tex-font-style-tt">b</span>», то можно зайти в систему под любым из трёх паролей: «<span class="tex-font-style-tt">a</span>», «<span class="tex-font-style-tt">b</span>», «<span class="tex-font-style-tt">ab</span>»; </li><li> установленный пароль равен «<span class="tex-font-style-tt">d</span>», то можно зайти в систему только под паролем «<span class="tex-font-style-tt">d</span>». </li></ul><p>Известно, что <span class="tex-font-style-bf">ровно один</span> пароль из списка является паролем администратора от тестирующей системы. Помогите хакеру понять, какое минимальное количество паролей понадобится использовать при взломе, чтобы <span class="tex-font-style-bf">гарантированно</span> получить доступ к системе. Имейте в виду, что хакер не знает, какой именно пароль установлен в системе.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано число $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — количество паролей. В следующих $$$n$$$ строках заданы пароли администратора из списка — непустые строки $$$s_i$$$, длины которых не превышают $$$50$$$ символов. Некоторые строки могут совпадать.</p><p>Гарантируется, что суммарная длина всех паролей не превышает $$$10^6$$$ символов. Все они состоят только из строчных букв латинского алфавита.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В единственной строке выведите минимальное количество паролей, использование которых позволит <span class="tex-font-style-bf">гарантированно</span> получить доступ к системе.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 a b ab d </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2</pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 ab bc abc </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1</pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 codeforces </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1</pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Во втором примере необходимо использовать любой из паролей, чтобы получить доступ к системе.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); 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["\u0413\u0440\u0430\u0444\u044b", "\u041f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u0438\u0441\u0442\u0435\u043c\u0430 \u043d\u0435\u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0445\u0441\u044f \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0433\u0440\u0430\u0444\u044b", "\u043f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u043e\u0435", "\u0441\u043d\u043c", "*1500"]

1263E

1263

E

ru

E. Редактор

<div class="problem-statement"><div class="header"><div class="title">E. Редактор</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Разработка текстового редактора — непростая задача. Ваша задача реализовать вспомогательный модуль для подсистемы подсветки скобок в тексте.</p><p>Ваш редактор состоит из строки бесконечной длины и курсора, который указывает на текущий символ. Обратите внимание, что он указывает точно на один из символов (а не между парой символов). Таким образом, положение курсора характеризуется индексом символа, на который он указывает. Пользователь может двигать курсор влево или вправо на одну позицию. Если курсор уже находится на первом (самом левом) символе, то сдвиг влево не производится.</p><p>Изначально все символы строки равны пробелу, курсор находится в первой (самой левой) позиции.</p><p>Кроме этого пользователь может записать букву или круглую скобку (либо '(', либо ')') в позицию, на которой в настоящий момент указывает курсор. Новый символ всегда перезаписывает старое значение в этой позиции.</p><p>Ваш редактор должен уметь проверять, является ли текущая строка, набранная пользователем, «корректным текстом». Текст является корректным, если скобки в нём образуют <span class="tex-font-style-it">правильную скобочную последовательность</span>.</p><p>Формально, корректный текст (КТ) должен удовлетворять следующим правилам: </p><ul> <li> любая строка без скобок является КТ (строка может содержать пробелы); </li><li> если первый символ строки — это '(', последний — это ')', а все остальные (промежуточные) образуют КТ, то вся строка является КТ; </li><li> два подряд написанных КТ также являются КТ. </li></ul><p>Примеры корректных текстов: «<span class="tex-font-style-tt">hello(codeforces)</span>», «<span class="tex-font-style-tt">round</span>», «<span class="tex-font-style-tt">((i)(write))edi(tor)s</span>», «<span class="tex-font-style-tt">( me)</span>». Примеры текстов, которые не являются корректными: «<span class="tex-font-style-tt">hello)oops(</span>», «<span class="tex-font-style-tt">round)</span>», «<span class="tex-font-style-tt">((me)</span>». </p><p>Пользователь использует специальные команды для работы с вашим редактором. Каждой команде соответствует свой символ, который нужно нажать, чтобы выполнить эту команду.</p><p>Соответствие команд и символов следующее: </p><ul> <li> 'L' — сдвинуть курсор на один символ влево (остаётся на месте, если уже указывает на первый символ); </li><li> 'R' — сдвинуть курсор на один символ вправо; </li><li> любая строчная английская буква или круглая скобка '(' или ')' — записать введённый символ в позицию, на которой сейчас стоит курсор. </li></ul><p>Для полного понимания изучите первый пример и его иллюстрации в примечании ниже.</p><p>Вам дана строка, содержащая символы, которые вводил пользователь. Для работы подсистемы подсветки скобок Вам требуется после каждой команды:</p><ul> <li> проверить, является ли текущий текст в редакторе корректным; </li><li> если является, то вывести наименьшее количество цветов, в которые можно раскрасить все пары скобок. </li></ul><p>Если две пары скобок являются вложенными (первая во вторую или наоборот), то эти пары скобок должны быть раскрашены в <span class="tex-font-style-it">разные</span> цвета. Если две пары скобок не вложены, то они могут быть покрашены как в разные, так и в одинаковые цвета. Например, для скобочной последовательности «<span class="tex-font-style-tt">()(())()()</span>» наименьшее количество цветов равно $$$2$$$, а для для скобочной последовательности «<span class="tex-font-style-tt">(()(()())())(())</span>» — равно $$$3$$$.</p><p>Напишите программу, которая выводит требуемую информацию после обработки каждой команды.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит целое число $$$n$$$ ($$$1 \le n \le 10^6$$$) — количество команд. Вторая строка содержит $$$s$$$ — последовательность команд. Строка $$$s$$$ состоит из $$$n$$$ символов. Гарантируется, что все символы в строке являются корректными командами.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В единственной строке выведите $$$n$$$ целых чисел, где $$$i$$$-е число равно:</p><ul> <li> $$$-1$$$, если строка, полученная после обработки первых $$$i$$$ команд, не является корректным текстом, </li><li> минимальному количеству цветов в случае корректного текста. </li></ul></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 11 (RaRbR)L)L( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 -1 -1 -1 -1 -1 1 1 -1 -1 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 11 (R)R(R)Ra)c </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 -1 1 1 -1 -1 1 1 1 -1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере текст в редакторе будет принимать следующий вид:</p><ol> <li> <pre class="verbatim">(<br/>^</pre> </li><li> <pre class="verbatim">(<br/> ^</pre> </li><li> <pre class="verbatim">(a<br/> ^</pre> </li><li> <pre class="verbatim">(a<br/> ^</pre> </li><li> <pre class="verbatim">(ab<br/> ^</pre> </li><li> <pre class="verbatim">(ab<br/> ^</pre> </li><li> <pre class="verbatim">(ab)<br/> ^</pre> </li><li> <pre class="verbatim">(ab)<br/> ^</pre> </li><li> <pre class="verbatim">(a))<br/> ^</pre> </li><li> <pre class="verbatim">(a))<br/> ^</pre> </li><li> <pre class="verbatim">(())<br/> ^</pre> </li></ol></div></div>

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Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1263/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *2100 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='b10435d4850ee2a8b45b80f229bb7c2d'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="483581"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='b10435d4850ee2a8b45b80f229bb7c2d'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="483581"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71803" title="Codeforces Round #603 (Div. 2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9964:9965" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=en" title="Codeforces Round #603 (Div. 2) Editorial" target="_blank">Разбор задач №1 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9975" resourceName="Codeforces Round #603 (Div. 2) Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=ru" title="Разбор Codeforces Round #603 (Div. 2)" target="_blank">Разбор задач №2 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9976" resourceName="Разбор Codeforces Round #603 (Div. 2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1263">Задачи</a></li> <li><a href="/contest/1263/submit">Отослать</a></li> <li><a href="/contest/1263/my">Мои посылки</a></li> <li><a href="/contest/1263/status">Статус</a></li> <li><a href="/contest/1263/hacks">Взломы</a></li> <li><a href="/contest/1263/room/1">Комната</a></li> <li><a href="/contest/1263/standings">Положение</a></li> <li><a href="/contest/1263/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_2ecbcbf514e5594aff6fe3e44a135f93b2f9389b"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Редактор</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Разработка текстового редактора — непростая задача. Ваша задача реализовать вспомогательный модуль для подсистемы подсветки скобок в тексте.</p><p>Ваш редактор состоит из строки бесконечной длины и курсора, который указывает на текущий символ. Обратите внимание, что он указывает точно на один из символов (а не между парой символов). Таким образом, положение курсора характеризуется индексом символа, на который он указывает. Пользователь может двигать курсор влево или вправо на одну позицию. Если курсор уже находится на первом (самом левом) символе, то сдвиг влево не производится.</p><p>Изначально все символы строки равны пробелу, курсор находится в первой (самой левой) позиции.</p><p>Кроме этого пользователь может записать букву или круглую скобку (либо '(', либо ')') в позицию, на которой в настоящий момент указывает курсор. Новый символ всегда перезаписывает старое значение в этой позиции.</p><p>Ваш редактор должен уметь проверять, является ли текущая строка, набранная пользователем, «корректным текстом». Текст является корректным, если скобки в нём образуют <span class="tex-font-style-it">правильную скобочную последовательность</span>.</p><p>Формально, корректный текст (КТ) должен удовлетворять следующим правилам: </p><ul> <li> любая строка без скобок является КТ (строка может содержать пробелы); </li><li> если первый символ строки — это '(', последний — это ')', а все остальные (промежуточные) образуют КТ, то вся строка является КТ; </li><li> два подряд написанных КТ также являются КТ. </li></ul><p>Примеры корректных текстов: «<span class="tex-font-style-tt">hello(codeforces)</span>», «<span class="tex-font-style-tt">round</span>», «<span class="tex-font-style-tt">((i)(write))edi(tor)s</span>», «<span class="tex-font-style-tt">( me)</span>». Примеры текстов, которые не являются корректными: «<span class="tex-font-style-tt">hello)oops(</span>», «<span class="tex-font-style-tt">round)</span>», «<span class="tex-font-style-tt">((me)</span>». </p><p>Пользователь использует специальные команды для работы с вашим редактором. Каждой команде соответствует свой символ, который нужно нажать, чтобы выполнить эту команду.</p><p>Соответствие команд и символов следующее: </p><ul> <li> 'L' — сдвинуть курсор на один символ влево (остаётся на месте, если уже указывает на первый символ); </li><li> 'R' — сдвинуть курсор на один символ вправо; </li><li> любая строчная английская буква или круглая скобка '(' или ')' — записать введённый символ в позицию, на которой сейчас стоит курсор. </li></ul><p>Для полного понимания изучите первый пример и его иллюстрации в примечании ниже.</p><p>Вам дана строка, содержащая символы, которые вводил пользователь. Для работы подсистемы подсветки скобок Вам требуется после каждой команды:</p><ul> <li> проверить, является ли текущий текст в редакторе корректным; </li><li> если является, то вывести наименьшее количество цветов, в которые можно раскрасить все пары скобок. </li></ul><p>Если две пары скобок являются вложенными (первая во вторую или наоборот), то эти пары скобок должны быть раскрашены в <span class="tex-font-style-it">разные</span> цвета. Если две пары скобок не вложены, то они могут быть покрашены как в разные, так и в одинаковые цвета. Например, для скобочной последовательности «<span class="tex-font-style-tt">()(())()()</span>» наименьшее количество цветов равно $$$2$$$, а для для скобочной последовательности «<span class="tex-font-style-tt">(()(()())())(())</span>» — равно $$$3$$$.</p><p>Напишите программу, которая выводит требуемую информацию после обработки каждой команды.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит целое число $$$n$$$ ($$$1 \le n \le 10^6$$$) — количество команд. Вторая строка содержит $$$s$$$ — последовательность команд. Строка $$$s$$$ состоит из $$$n$$$ символов. Гарантируется, что все символы в строке являются корректными командами.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В единственной строке выведите $$$n$$$ целых чисел, где $$$i$$$-е число равно:</p><ul> <li> $$$-1$$$, если строка, полученная после обработки первых $$$i$$$ команд, не является корректным текстом, </li><li> минимальному количеству цветов в случае корректного текста. </li></ul></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 11 (RaRbR)L)L( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 -1 -1 -1 -1 -1 1 1 -1 -1 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 11 (R)R(R)Ra)c </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 -1 1 1 -1 -1 1 1 1 -1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере текст в редакторе будет принимать следующий вид:</p><ol> <li> <pre class="verbatim">(<br />^</pre> </li><li> <pre class="verbatim">(<br /> ^</pre> </li><li> <pre class="verbatim">(a<br /> ^</pre> </li><li> <pre class="verbatim">(a<br /> ^</pre> </li><li> <pre class="verbatim">(ab<br /> ^</pre> </li><li> <pre class="verbatim">(ab<br /> ^</pre> </li><li> <pre class="verbatim">(ab)<br /> ^</pre> </li><li> <pre class="verbatim">(ab)<br /> ^</pre> </li><li> <pre class="verbatim">(a))<br /> ^</pre> </li><li> <pre class="verbatim">(a))<br /> ^</pre> </li><li> <pre class="verbatim">(())<br /> ^</pre> </li></ol></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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["\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*2100"]

1263F

1263

F

ru

F. Экономические проблемы

<div class="problem-statement"><div class="header"><div class="title">F. Экономические проблемы</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Электросеть дворцов в Берляндии состоит из 2-х сетей: основной и запасной. Провода во дворцах сделаны из дорогого материала, поэтому их продажа будет отличной идеей!</p><p>Каждая из сетей (основная и запасная) имеет главный узел (он имеет номер $$$1$$$), из которого ток поступает на другие узлы сети. Все узлы доступны от главного по единственному пути. В обеих сетях количество узлов, из которых ток не распространяется дальше, равно $$$n$$$.</p><p>Иными словами, каждая из сетей является отдельным корневым ориентированным деревом с $$$n$$$ листьями и с корнем в вершине $$$1$$$. В каждом дереве свои вершины и своя независимая нумерация вершин.</p><p>Кроме электросетей во дворце есть $$$n$$$ приборов, каждый из которых соединён с одним из узлов основной и с одним из узлов запасной сети. Приборы соединяются только с такими узлами, из которых ток не распространяется далее (то есть, которые являются листьями). Каждый такой узел (лист дерева) соединён ровно с одним прибором.</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/3d806bfc58bf61a9b2b9b3146d345d4eb69f2569.png" style="max-width: 100.0%;max-height: 100.0%;"/> <span class="tex-font-size-small">В этом примере основная сеть содержит $$$6$$$ узлов (изображена сверху), а запасная — $$$4$$$ узла (изображена снизу). Количество приборов равно $$$3$$$, они пронумерованы синим цветом.</span> </center><p>Гарантируется, что вся электросеть (две сети и $$$n$$$ приборов) может быть изображена на схеме способом, аналогичным картинке выше:</p><ul> <li> основная сеть будет составлять дерево сверху, в котором все провода ведут в направлении «сверху вниз», </li><li> запасная сеть будет составлять дерево снизу, в котором все провода ведут в направлении «снизу вверх», </li><li> приборы — горизонтальный ряд между ними, пронумерованный от $$$1$$$ до $$$n$$$ слева направо, </li><li> провода между узлами сетей изображены непересекающимися отрезками. </li></ul><p>Формально, для каждого дерева существует такой обход в глубину из вершины $$$1$$$, что его листья посещаются в порядке их присоединения к приборам $$$1, 2, \dots, n$$$ (то есть сначала узел, присоединенный к прибору $$$1$$$, затем узел, присоединенный к прибору $$$2$$$, и так далее).</p><p>Предприниматель хочет продать (удалить) <span class="tex-font-style-bf">максимальное</span> количество проводов так, чтобы на каждый прибор поступал ток из хотя бы одной сети. Иначе говоря, для каждого прибора должен существовать путь до главного узла сети (основной или запасной), проходящий по проводам сети от этого главного узла.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 1000$$$) — количество приборов во дворце.</p><p>В следующей строке записано целое число $$$a$$$ ($$$1 + n \le a \le 1000 + n$$$) — количество узлов в основной электросети.</p><p>В следующей строке содержатся $$$a - 1$$$ целых чисел $$$p_i$$$ ($$$1 \le p_i \le a$$$). Каждое число $$$p_i$$$ задает провод от $$$p_i$$$-го узла к $$$(i + 1)$$$-му.</p><p>В следующей строке записаны $$$n$$$ чисел $$$x_i$$$ ($$$1 \le x_i \le a$$$) — номер узла в основной электросети, с которым соединен $$$i$$$-й электроприбор.</p><p>В следующей строке записано целое число $$$b$$$ ($$$1 + n \le b \le 1000 + n$$$) — количество узлов в запасной электросети.</p><p>В следующей строке содержатся $$$b - 1$$$ целых чисел $$$q_i$$$ ($$$1 \le q_i \le b$$$). Каждое число $$$q_i$$$ задает провод от $$$q_i$$$-го узла к $$$(i + 1)$$$-му.</p><p>В следующей строке записаны $$$n$$$ чисел $$$y_i$$$ ($$$1 \le y_i \le b$$$) — номер узла в запасной электросети, с которым соединен $$$i$$$-й электроприбор.</p><p>Гарантируется, что каждая сеть представляет собой дерево, у каждого из которых ровно $$$n$$$ листьев, причем каждый лист соединен с одним прибором. Также гарантируется, что для каждой сети существует такой порядок обхода в глубину из вершины $$$1$$$, что листы появляются в данном обходе в порядке нумерации соответствующих приборов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите единственное целое число — максимальное количество проводов, которые можно удалить из сети так, чтобы каждый прибор продолжил получать электрический ток.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 4 1 1 4 2 6 5 3 4 1 1 1 3 4 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 6 4 4 1 1 1 3 2 6 5 6 6 6 1 1 1 5 4 3 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 14 1 1 11 2 14 14 13 7 12 2 5 6 1 9 8 3 10 4 16 1 1 9 9 2 5 10 1 14 3 7 11 6 12 2 8 16 13 4 15 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 17 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Для первого примера ниже на картинке изображен один из возможных вариантов решения (красным цветом отмечены провода, которые можно удалить):</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/f3b803f73ef65d34477de27b9819c958964ebed8.png" style="max-width: 100.0%;max-height: 100.0%;"/> </center><p>Второй и третий примеры изображены ниже:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/ab7a6e1d86c6db05c04b0f8158628382edd86b7f.png" style="max-width: 100.0%;max-height: 100.0%;"/> </center></div></div>

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Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1263/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Поиск в глубину и подобные алгоритмы"> поиск в глубину и подобное </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Потоки в графах"> потоки </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Кучи, деревья отрезков, деревья поиска и др."> структуры данных </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *2400 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='762782c1c8746f4c2aa0c0c196676491'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="483582"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='762782c1c8746f4c2aa0c0c196676491'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="483582"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71803" title="Codeforces Round #603 (Div. 2)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9964:9965" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=en" title="Codeforces Round #603 (Div. 2) Editorial" target="_blank">Разбор задач №1 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9975" resourceName="Codeforces Round #603 (Div. 2) Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71844?locale=ru" title="Разбор Codeforces Round #603 (Div. 2)" target="_blank">Разбор задач №2 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9976" resourceName="Разбор Codeforces Round #603 (Div. 2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1263">Задачи</a></li> <li><a href="/contest/1263/submit">Отослать</a></li> <li><a href="/contest/1263/my">Мои посылки</a></li> <li><a href="/contest/1263/status">Статус</a></li> <li><a href="/contest/1263/hacks">Взломы</a></li> <li><a href="/contest/1263/room/1">Комната</a></li> <li><a href="/contest/1263/standings">Положение</a></li> <li><a href="/contest/1263/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_6441a841f108a42e7baae5951add5615851d4e34"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Экономические проблемы</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Электросеть дворцов в Берляндии состоит из 2-х сетей: основной и запасной. Провода во дворцах сделаны из дорогого материала, поэтому их продажа будет отличной идеей!</p><p>Каждая из сетей (основная и запасная) имеет главный узел (он имеет номер $$$1$$$), из которого ток поступает на другие узлы сети. Все узлы доступны от главного по единственному пути. В обеих сетях количество узлов, из которых ток не распространяется дальше, равно $$$n$$$.</p><p>Иными словами, каждая из сетей является отдельным корневым ориентированным деревом с $$$n$$$ листьями и с корнем в вершине $$$1$$$. В каждом дереве свои вершины и своя независимая нумерация вершин.</p><p>Кроме электросетей во дворце есть $$$n$$$ приборов, каждый из которых соединён с одним из узлов основной и с одним из узлов запасной сети. Приборы соединяются только с такими узлами, из которых ток не распространяется далее (то есть, которые являются листьями). Каждый такой узел (лист дерева) соединён ровно с одним прибором.</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/3d806bfc58bf61a9b2b9b3146d345d4eb69f2569.png" style="max-width: 100.0%;max-height: 100.0%;" /> <span class="tex-font-size-small">В этом примере основная сеть содержит $$$6$$$ узлов (изображена сверху), а запасная — $$$4$$$ узла (изображена снизу). Количество приборов равно $$$3$$$, они пронумерованы синим цветом.</span> </center><p>Гарантируется, что вся электросеть (две сети и $$$n$$$ приборов) может быть изображена на схеме способом, аналогичным картинке выше:</p><ul> <li> основная сеть будет составлять дерево сверху, в котором все провода ведут в направлении «сверху вниз», </li><li> запасная сеть будет составлять дерево снизу, в котором все провода ведут в направлении «снизу вверх», </li><li> приборы — горизонтальный ряд между ними, пронумерованный от $$$1$$$ до $$$n$$$ слева направо, </li><li> провода между узлами сетей изображены непересекающимися отрезками. </li></ul><p>Формально, для каждого дерева существует такой обход в глубину из вершины $$$1$$$, что его листья посещаются в порядке их присоединения к приборам $$$1, 2, \dots, n$$$ (то есть сначала узел, присоединенный к прибору $$$1$$$, затем узел, присоединенный к прибору $$$2$$$, и так далее).</p><p>Предприниматель хочет продать (удалить) <span class="tex-font-style-bf">максимальное</span> количество проводов так, чтобы на каждый прибор поступал ток из хотя бы одной сети. Иначе говоря, для каждого прибора должен существовать путь до главного узла сети (основной или запасной), проходящий по проводам сети от этого главного узла.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$n$$$ ($$$1 \le n \le 1000$$$) — количество приборов во дворце.</p><p>В следующей строке записано целое число $$$a$$$ ($$$1 + n \le a \le 1000 + n$$$) — количество узлов в основной электросети.</p><p>В следующей строке содержатся $$$a - 1$$$ целых чисел $$$p_i$$$ ($$$1 \le p_i \le a$$$). Каждое число $$$p_i$$$ задает провод от $$$p_i$$$-го узла к $$$(i + 1)$$$-му.</p><p>В следующей строке записаны $$$n$$$ чисел $$$x_i$$$ ($$$1 \le x_i \le a$$$) — номер узла в основной электросети, с которым соединен $$$i$$$-й электроприбор.</p><p>В следующей строке записано целое число $$$b$$$ ($$$1 + n \le b \le 1000 + n$$$) — количество узлов в запасной электросети.</p><p>В следующей строке содержатся $$$b - 1$$$ целых чисел $$$q_i$$$ ($$$1 \le q_i \le b$$$). Каждое число $$$q_i$$$ задает провод от $$$q_i$$$-го узла к $$$(i + 1)$$$-му.</p><p>В следующей строке записаны $$$n$$$ чисел $$$y_i$$$ ($$$1 \le y_i \le b$$$) — номер узла в запасной электросети, с которым соединен $$$i$$$-й электроприбор.</p><p>Гарантируется, что каждая сеть представляет собой дерево, у каждого из которых ровно $$$n$$$ листьев, причем каждый лист соединен с одним прибором. Также гарантируется, что для каждой сети существует такой порядок обхода в глубину из вершины $$$1$$$, что листы появляются в данном обходе в порядке нумерации соответствующих приборов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите единственное целое число — максимальное количество проводов, которые можно удалить из сети так, чтобы каждый прибор продолжил получать электрический ток.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 4 1 1 4 2 6 5 3 4 1 1 1 3 4 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 6 4 4 1 1 1 3 2 6 5 6 6 6 1 1 1 5 4 3 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 14 1 1 11 2 14 14 13 7 12 2 5 6 1 9 8 3 10 4 16 1 1 9 9 2 5 10 1 14 3 7 11 6 12 2 8 16 13 4 15 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 17 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Для первого примера ниже на картинке изображен один из возможных вариантов решения (красным цветом отмечены провода, которые можно удалить):</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/f3b803f73ef65d34477de27b9819c958964ebed8.png" style="max-width: 100.0%;max-height: 100.0%;" /> </center><p>Второй и третий примеры изображены ниже:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/ab7a6e1d86c6db05c04b0f8158628382edd86b7f.png" style="max-width: 100.0%;max-height: 100.0%;" /> </center></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); 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["\u0413\u0440\u0430\u0444\u044b", "\u0414\u0435\u0440\u0435\u0432\u044c\u044f", "\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u041f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041f\u043e\u0442\u043e\u043a\u0438 \u0432 \u0433\u0440\u0430\u0444\u0430\u0445", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0433\u0440\u0430\u0444\u044b", "\u0434\u0435\u0440\u0435\u0432\u044c\u044f", "\u0434\u043f", "\u043f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u043e\u0435", "\u043f\u043e\u0442\u043e\u043a\u0438", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*2400"]

1264A

1264

A

ru

A. Beautiful Regional Contest

<div class="problem-statement"><div class="header"><div class="title">A. Beautiful Regional Contest</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вот и подошел к концу Beautiful Regional Contest (BeRC)! В соревновании приняли участие $$$n$$$ студентов. Уже известна таблица финальных результатов — участник на $$$i$$$-м месте решил $$$p_i$$$ задач. Так как в первую очередь участники упорядочиваются по количеству решенных задач, то $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Помогите жюри распределить золотые, серебряные и бронзовые медали. Пусть их количества равны $$$g$$$, $$$s$$$ и $$$b$$$, соответственно. Вот перечень требований из регламента, которые все должны быть удовлетворены:</p><ul> <li> для каждого из трёх достоинств медалей хотя бы одна медаль должна быть вручена (то есть $$$g>0$$$, $$$s>0$$$ и $$$b>0$$$); </li><li> количество золотых медалей должно быть строго меньше и количества серебряных и количества бронзовых (то есть $$$g<s$$$ и $$$g<b$$$, но требований между $$$s$$$ и $$$b$$$ нет); </li><li> каждый золотой медалист должен решить строго больше задач, чем любой награждённый серебряной медалью; </li><li> каждый серебряный медалист должен решить строго больше задач, чем любой награждённый бронзовой медалью; </li><li> каждый бронзовый медалист должен решить строго больше задач, чем любой не награждённый медалью участник; </li><li> суммарное количество медалистов $$$g+s+b$$$ не должно превышать половину всех участников (например, если $$$n=21$$$, то можно наградить максимум $$$10$$$ участников, а если $$$n=26$$$, то можно наградить максимум $$$13$$$ участников). </li></ul><p>Жюри хочет наградить медалями суммарно <span class="tex-font-style-bf">наибольшее</span> количество $$$g+s+b$$$ участников так, чтобы все перечисленные пункты выполнялись. Помогите жюри найти такой способ награждения медалями.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10000$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка набора входных данных содержит целое число $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$) — количество участников BeRC. Вторая строка набора содержит последовательность целых чисел $$$p_1, p_2, \dots, p_n$$$ ($$$0 \le p_i \le 10^6$$$), где $$$p_i$$$ равно количеству задач, решенных $$$i$$$-м участником из таблицы финальных результатов. Значения $$$p_i$$$ отсортированы по невозрастанию, то есть $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$4\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк, $$$j$$$-я строка должна содержать ответ на $$$j$$$-й набор входных данных. </p><p>Ответ состоит из трёх неотрицательных целых чисел $$$g, s, b$$$.</p><ul> <li> Выведите $$$g=s=b=0$$$, если не существует способа наградить участников медалями, чтобы одновременно выполнялись все требования из условия. </li><li> В противном случае выведите три положительных числа $$$g, s, b$$$ — возможное количество золотых, серебряных и бронзовых медалей, соответственно. Сумма $$$g+s+b$$$ должна быть максимально возможной. Если ответов несколько, то выведите любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 12 5 4 4 3 2 2 1 1 1 1 1 1 4 4 3 2 1 1 1000000 20 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 32 64 64 63 58 58 58 58 58 37 37 37 37 34 34 28 28 28 28 28 28 24 24 19 17 17 17 17 16 16 16 16 11 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 3 0 0 0 0 0 0 2 5 3 2 6 6 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае можно наградить $$$1$$$ золотой, $$$2$$$ серебряными и $$$3$$$ бронзовыми медалями участников. Тогда золотую медаль получит участник, решившая $$$5$$$ задач, серебрянные медали получат участники, решившие $$$4$$$ задачи, бронзовые медали получат участники решившие $$$2$$$ или $$$3$$$ задачи. Участники, решившие $$$1$$$ задачу медаль не получат. Заметим, что все условия выполнены и раздать медали таким способом можно. Больше, чем $$$6$$$ медалей выдать невозможно, потому что нельзя выдать больше чем половину от количества участников медалей. Ответ $$$1$$$, $$$3$$$, $$$2$$$ также является верным в этом тестовом случае.</p><p>Во втором и третьем тестовых случаев нельзя так раздать медали, потому что медаль каждого достоинства должна получить хотя бы один участник, но количество выданных медалей не должно превышать половину от количества участников.</p></div></div>

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background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *1500 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='bf2f907a80cf06ed3c3a19c267d25d1b'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="486700"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='bf2f907a80cf06ed3c3a19c267d25d1b'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="486700"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9998" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71995" title="71995" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10016" resourceName="71995" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1264">Задачи</a></li> <li><a href="/contest/1264/submit">Отослать</a></li> <li><a href="/contest/1264/my">Мои посылки</a></li> <li><a href="/contest/1264/status">Статус</a></li> <li><a href="/contest/1264/hacks">Взломы</a></li> <li><a href="/contest/1264/room/1">Комната</a></li> <li><a href="/contest/1264/standings">Положение</a></li> <li><a href="/contest/1264/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_1305bd655677eebafaafe8f9ce2d89ddf7760126"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Beautiful Regional Contest</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вот и подошел к концу Beautiful Regional Contest (BeRC)! В соревновании приняли участие $$$n$$$ студентов. Уже известна таблица финальных результатов — участник на $$$i$$$-м месте решил $$$p_i$$$ задач. Так как в первую очередь участники упорядочиваются по количеству решенных задач, то $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Помогите жюри распределить золотые, серебряные и бронзовые медали. Пусть их количества равны $$$g$$$, $$$s$$$ и $$$b$$$, соответственно. Вот перечень требований из регламента, которые все должны быть удовлетворены:</p><ul> <li> для каждого из трёх достоинств медалей хотя бы одна медаль должна быть вручена (то есть $$$g>0$$$, $$$s>0$$$ и $$$b>0$$$); </li><li> количество золотых медалей должно быть строго меньше и количества серебряных и количества бронзовых (то есть $$$g<s$$$ и $$$g<b$$$, но требований между $$$s$$$ и $$$b$$$ нет); </li><li> каждый золотой медалист должен решить строго больше задач, чем любой награждённый серебряной медалью; </li><li> каждый серебряный медалист должен решить строго больше задач, чем любой награждённый бронзовой медалью; </li><li> каждый бронзовый медалист должен решить строго больше задач, чем любой не награждённый медалью участник; </li><li> суммарное количество медалистов $$$g+s+b$$$ не должно превышать половину всех участников (например, если $$$n=21$$$, то можно наградить максимум $$$10$$$ участников, а если $$$n=26$$$, то можно наградить максимум $$$13$$$ участников). </li></ul><p>Жюри хочет наградить медалями суммарно <span class="tex-font-style-bf">наибольшее</span> количество $$$g+s+b$$$ участников так, чтобы все перечисленные пункты выполнялись. Помогите жюри найти такой способ награждения медалями.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10000$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка набора входных данных содержит целое число $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$) — количество участников BeRC. Вторая строка набора содержит последовательность целых чисел $$$p_1, p_2, \dots, p_n$$$ ($$$0 \le p_i \le 10^6$$$), где $$$p_i$$$ равно количеству задач, решенных $$$i$$$-м участником из таблицы финальных результатов. Значения $$$p_i$$$ отсортированы по невозрастанию, то есть $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$4\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк, $$$j$$$-я строка должна содержать ответ на $$$j$$$-й набор входных данных. </p><p>Ответ состоит из трёх неотрицательных целых чисел $$$g, s, b$$$.</p><ul> <li> Выведите $$$g=s=b=0$$$, если не существует способа наградить участников медалями, чтобы одновременно выполнялись все требования из условия. </li><li> В противном случае выведите три положительных числа $$$g, s, b$$$ — возможное количество золотых, серебряных и бронзовых медалей, соответственно. Сумма $$$g+s+b$$$ должна быть максимально возможной. Если ответов несколько, то выведите любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 12 5 4 4 3 2 2 1 1 1 1 1 1 4 4 3 2 1 1 1000000 20 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 32 64 64 63 58 58 58 58 58 37 37 37 37 34 34 28 28 28 28 28 28 24 24 19 17 17 17 17 16 16 16 16 11 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 3 0 0 0 0 0 0 2 5 3 2 6 6 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае можно наградить $$$1$$$ золотой, $$$2$$$ серебряными и $$$3$$$ бронзовыми медалями участников. Тогда золотую медаль получит участник, решившая $$$5$$$ задач, серебрянные медали получат участники, решившие $$$4$$$ задачи, бронзовые медали получат участники решившие $$$2$$$ или $$$3$$$ задачи. Участники, решившие $$$1$$$ задачу медаль не получат. Заметим, что все условия выполнены и раздать медали таким способом можно. Больше, чем $$$6$$$ медалей выдать невозможно, потому что нельзя выдать больше чем половину от количества участников медалей. Ответ $$$1$$$, $$$3$$$, $$$2$$$ также является верным в этом тестовом случае.</p><p>Во втором и третьем тестовых случаев нельзя так раздать медали, потому что медаль каждого достоинства должна получить хотя бы один участник, но количество выданных медалей не должно превышать половину от количества участников.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "*1500"]

1264B

1264

B

ru

B. Красивая последовательность

<div class="problem-statement"><div class="header"><div class="title">B. Красивая последовательность</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Последовательность целых чисел называется <span class="tex-font-style-it">красивой</span> если абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Более формально, последовательность $$$s_1, s_2, \ldots, s_{n}$$$ красивая, если $$$|s_i - s_{i+1}| = 1$$$ для всех $$$1 \leq i \leq n - 1$$$.</p><p>У Вани есть $$$a$$$ чисел равных $$$0$$$, $$$b$$$ чисел равных $$$1$$$, $$$c$$$ чисел равных $$$2$$$ и $$$d$$$ чисел равных $$$3$$$. Он хочет построить красивую последовательность используя все эти $$$a + b + c + d$$$ чисел.</p><p>Оказалось, что это непростая задача и Ваня не справился решить ее. Помогите Ване!</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке находятся четыре неотрицательных целых числа $$$a$$$, $$$b$$$, $$$c$$$ и $$$d$$$ ($$$0 < a+b+c+d \leq 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно построить красивую последовательность, удовлетворяющую ограничениям, выведите «<span class="tex-font-style-tt">NO</span>» (без кавычек) в единственной строке.</p><p>Иначе, выведите «<span class="tex-font-style-tt">YES</span>» (без кавычек) в первой строке. Затем, во второй строке выведите $$$a + b + c + d$$$ целых чисел, разделенных пробелом — найденная красивая последовательность. Среди выведенных чисел должно быть ровно $$$a$$$ чисел, равных $$$0$$$, ровно $$$b$$$ чисел, равных $$$1$$$, ровно $$$c$$$ чисел, равных $$$2$$$ и ровно $$$d$$$ чисел, равных $$$3$$$.</p><p>Если существует несколько возможных ответов, вы можете вывести любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES 0 1 0 1 2 3 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 2 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, легко заметить, что последовательность красивая, потому что абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Также, в последовательности ровно два числа, равных $$$0$$$, $$$1$$$, $$$2$$$ и ровно одно число, равное $$$3$$$.</p><p>Можно доказать, что невозможно построить красивые последовательности во втором и третьем тесте.</p></div></div>

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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *1900 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='08d6f4e5ede01d3e0fe63cfdfd48093e'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="486701"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='08d6f4e5ede01d3e0fe63cfdfd48093e'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="486701"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9998" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71995" title="71995" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10016" resourceName="71995" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1264">Задачи</a></li> <li><a href="/contest/1264/submit">Отослать</a></li> <li><a href="/contest/1264/my">Мои посылки</a></li> <li><a href="/contest/1264/status">Статус</a></li> <li><a href="/contest/1264/hacks">Взломы</a></li> <li><a href="/contest/1264/room/1">Комната</a></li> <li><a href="/contest/1264/standings">Положение</a></li> <li><a href="/contest/1264/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_c64d42b63f6c5c590e90901e10a404f203ee6a52"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Красивая последовательность</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Последовательность целых чисел называется <span class="tex-font-style-it">красивой</span> если абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Более формально, последовательность $$$s_1, s_2, \ldots, s_{n}$$$ красивая, если $$$|s_i - s_{i+1}| = 1$$$ для всех $$$1 \leq i \leq n - 1$$$.</p><p>У Вани есть $$$a$$$ чисел равных $$$0$$$, $$$b$$$ чисел равных $$$1$$$, $$$c$$$ чисел равных $$$2$$$ и $$$d$$$ чисел равных $$$3$$$. Он хочет построить красивую последовательность используя все эти $$$a + b + c + d$$$ чисел.</p><p>Оказалось, что это непростая задача и Ваня не справился решить ее. Помогите Ване!</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке находятся четыре неотрицательных целых числа $$$a$$$, $$$b$$$, $$$c$$$ и $$$d$$$ ($$$0 < a+b+c+d \leq 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно построить красивую последовательность, удовлетворяющую ограничениям, выведите «<span class="tex-font-style-tt">NO</span>» (без кавычек) в единственной строке.</p><p>Иначе, выведите «<span class="tex-font-style-tt">YES</span>» (без кавычек) в первой строке. Затем, во второй строке выведите $$$a + b + c + d$$$ целых чисел, разделенных пробелом — найденная красивая последовательность. Среди выведенных чисел должно быть ровно $$$a$$$ чисел, равных $$$0$$$, ровно $$$b$$$ чисел, равных $$$1$$$, ровно $$$c$$$ чисел, равных $$$2$$$ и ровно $$$d$$$ чисел, равных $$$3$$$.</p><p>Если существует несколько возможных ответов, вы можете вывести любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES 0 1 0 1 2 3 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 2 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, легко заметить, что последовательность красивая, потому что абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Также, в последовательности ровно два числа, равных $$$0$$$, $$$1$$$, $$$2$$$ и ровно одно число, равное $$$3$$$.</p><p>Можно доказать, что невозможно построить красивые последовательности во втором и третьем тесте.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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1264C

1264

C

ru

C. Красивые зеркала с запросами

<div class="problem-statement"><div class="header"><div class="title">C. Красивые зеркала с запросами</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Creatnx есть $$$n$$$ зеркал, пронумерованных от $$$1$$$ до $$$n$$$. Каждый день Creatnx спрашивает ровно одно зеркало «Красивый ли я?». $$$i$$$-е зеркало скажет Creatnx, что он красивый с вероятностью $$$\frac{p_i}{100}$$$ для всех $$$1 \le i \le n$$$.</p><p><span class="tex-font-style-bf">Некоторые зеркала называются чекпойнтами</span>. Изначально, только $$$1$$$-е зеркало является чекпойнтом. Это зеркало будет оставаться чекпойнтом все время.</p><p>Creatnx спрашивает зеркала одно за другим, начиная с $$$1$$$-о зеркала. Каждый день, если он спрашивает $$$i$$$-е зеркало, есть две возможности:</p><ul> <li> $$$i$$$-е зеркало скажет Creatnx, что он красивый. В этом случае, если $$$i = n$$$ Creatnx остановится и станет счастливым, иначе он продолжит спрашивать $$$i+1$$$-е зеркало на следующий день; </li><li> В другом случае Creatnx очень расстроится. На следующий день, Creatnx начнет спрашивать <span class="tex-font-style-bf">зеркало с максимальным номером, являющееся чекпойнтом, с номером не больше чем $$$i$$$</span>. </li></ul><p><span class="tex-font-style-bf">Иногда происходят следующие изменения: некоторые зеркала становятся чекпойнтами и некоторые зеркала перестают быть чекпойнтами</span>. Вам дано $$$q$$$ запросов, каждый запрос задается номером зеркала $$$u$$$: если $$$u$$$-е зеркало не было чекпойнтом, тогда мы делаем его чекпойнтом. Иначе, $$$u$$$-е зеркало перестает быть чекпойнтом.</p><p>После каждого запроса, вам нужно посчитать <a href="https://ru.wikipedia.org/wiki/Математическое_ожидание">математическое ожидание</a> количества дней, до того как Creatnx станет счастливым.</p><p>Эти числа нужно найти по модулю $$$998244353$$$. Формально, пусть $$$M = 998244353$$$. Можно показать, что ответ может быть представлен в виде несократимой дроби $$$\frac{p}{q}$$$, где $$$p$$$ и $$$q$$$ целые числа и $$$q \not \equiv 0 \pmod{M}$$$. Выведите целое число, равное $$$p \cdot q^{-1} \bmod M$$$. Другими словами, выведите такое целое число $$$x$$$, что $$$0 \le x < M$$$ и $$$x \cdot q \equiv p \pmod{M}$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находятся два целых числа $$$n$$$, $$$q$$$ ($$$2 \leq n, q \le 2 \cdot 10^5$$$) — количество зеркал и запросов.</p><p>Во второй строке находится $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \leq p_i \leq 100$$$).</p><p>Каждая из следующих $$$q$$$ строк содержит единственное целое число $$$u$$$ ($$$2 \leq u \leq n$$$) — очередной запрос.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$q$$$ целых чисел — ответ на задачу после каждого запроса, взятый по модулю $$$998244353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 50 50 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 10 20 30 40 50 2 3 4 5 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 117 665496274 332748143 831870317 499122211 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте после первого запроса, первое и второе зеркала являются чекпойнтами. Creatnx будет спрашивать первое зеркало, пока оно не скажет, что он красивый, после этого он будет спрашивать второе зеркало, пока оно не скажет, что он красивый, потому что оно является чекпойнтом. После этого он станет счастливым. Вероятности, что зеркала скажут, что он красивый равны $$$\frac{1}{2}$$$. Поэтому математическое ожидание количества дней, пока одно зеркало скажет, что он красивый равно $$$2$$$ и ответ равен $$$4 = 2 + 2$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9998" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/71995" title="71995" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10016" resourceName="71995" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1264">Задачи</a></li> <li><a href="/contest/1264/submit">Отослать</a></li> <li><a href="/contest/1264/my">Мои посылки</a></li> <li><a href="/contest/1264/status">Статус</a></li> <li><a href="/contest/1264/hacks">Взломы</a></li> <li><a href="/contest/1264/room/1">Комната</a></li> <li><a href="/contest/1264/standings">Положение</a></li> <li><a href="/contest/1264/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_f0f2ff21c5637bbd3b4c8fe86766168f781edd28"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Красивые зеркала с запросами</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Creatnx есть $$$n$$$ зеркал, пронумерованных от $$$1$$$ до $$$n$$$. Каждый день Creatnx спрашивает ровно одно зеркало «Красивый ли я?». $$$i$$$-е зеркало скажет Creatnx, что он красивый с вероятностью $$$\frac{p_i}{100}$$$ для всех $$$1 \le i \le n$$$.</p><p><span class="tex-font-style-bf">Некоторые зеркала называются чекпойнтами</span>. Изначально, только $$$1$$$-е зеркало является чекпойнтом. Это зеркало будет оставаться чекпойнтом все время.</p><p>Creatnx спрашивает зеркала одно за другим, начиная с $$$1$$$-о зеркала. Каждый день, если он спрашивает $$$i$$$-е зеркало, есть две возможности:</p><ul> <li> $$$i$$$-е зеркало скажет Creatnx, что он красивый. В этом случае, если $$$i = n$$$ Creatnx остановится и станет счастливым, иначе он продолжит спрашивать $$$i+1$$$-е зеркало на следующий день; </li><li> В другом случае Creatnx очень расстроится. На следующий день, Creatnx начнет спрашивать <span class="tex-font-style-bf">зеркало с максимальным номером, являющееся чекпойнтом, с номером не больше чем $$$i$$$</span>. </li></ul><p><span class="tex-font-style-bf">Иногда происходят следующие изменения: некоторые зеркала становятся чекпойнтами и некоторые зеркала перестают быть чекпойнтами</span>. Вам дано $$$q$$$ запросов, каждый запрос задается номером зеркала $$$u$$$: если $$$u$$$-е зеркало не было чекпойнтом, тогда мы делаем его чекпойнтом. Иначе, $$$u$$$-е зеркало перестает быть чекпойнтом.</p><p>После каждого запроса, вам нужно посчитать <a href="https://ru.wikipedia.org/wiki/Математическое_ожидание">математическое ожидание</a> количества дней, до того как Creatnx станет счастливым.</p><p>Эти числа нужно найти по модулю $$$998244353$$$. Формально, пусть $$$M = 998244353$$$. Можно показать, что ответ может быть представлен в виде несократимой дроби $$$\frac{p}{q}$$$, где $$$p$$$ и $$$q$$$ целые числа и $$$q \not \equiv 0 \pmod{M}$$$. Выведите целое число, равное $$$p \cdot q^{-1} \bmod M$$$. Другими словами, выведите такое целое число $$$x$$$, что $$$0 \le x < M$$$ и $$$x \cdot q \equiv p \pmod{M}$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находятся два целых числа $$$n$$$, $$$q$$$ ($$$2 \leq n, q \le 2 \cdot 10^5$$$) — количество зеркал и запросов.</p><p>Во второй строке находится $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \leq p_i \leq 100$$$).</p><p>Каждая из следующих $$$q$$$ строк содержит единственное целое число $$$u$$$ ($$$2 \leq u \leq n$$$) — очередной запрос.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$q$$$ целых чисел — ответ на задачу после каждого запроса, взятый по модулю $$$998244353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 50 50 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 5 10 20 30 40 50 2 3 4 5 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 117 665496274 332748143 831870317 499122211 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте после первого запроса, первое и второе зеркала являются чекпойнтами. Creatnx будет спрашивать первое зеркало, пока оно не скажет, что он красивый, после этого он будет спрашивать второе зеркало, пока оно не скажет, что он красивый, потому что оно является чекпойнтом. После этого он станет счастливым. Вероятности, что зеркала скажут, что он красивый равны $$$\frac{1}{2}$$$. Поэтому математическое ожидание количества дней, пока одно зеркало скажет, что он красивый равно $$$2$$$ и ответ равен $$$4 = 2 + 2$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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["\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043c\u0430\u0442. \u043e\u0436\u0438\u0434\u0430\u043d\u0438\u044f, \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "\u0442\u0435\u043e\u0440\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439", "*2400"]

1264D1

1264

D1

ru

D1. Красивая скобочная последовательность (простая версия)

<div class="problem-statement"><div class="header"><div class="title">D1. Красивая скобочная последовательность (простая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это простая версия этой задачи. Единственное отличие в ограничении на $$$n$$$ — длине входной строки. В этой версии, $$$1 \leq n \leq 2000$$$. Сложная версия этой задачи не предлагается в раунде для второго дивизиона.</span></p><p>Определим правильную скобочную последовательность и ее глубину следующим образом:</p><ul> <li> Пустая строка это правильная скобочная последовательность глубины $$$0$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» это правильная скобочная последовательность глубины $$$d$$$ тогда «<span class="tex-font-style-tt">(s)</span>» это правильная скобочная последовательность глубины $$$d + 1$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» и «<span class="tex-font-style-tt">t</span>» это две правильные скобочные последовательности тогда их конкатенация «<span class="tex-font-style-tt">st</span>» это правильная скобочная последовательность с глубиной равной максимальной из глубин $$$s$$$ и $$$t$$$. </li></ul><p>Для (не обязательно правильной) скобочной последовательности $$$s$$$ мы определяем ее глубину как максимальную глубину любой <span class="tex-font-style-bf">правильной</span> скобочной последовательности, которая может быть получена с помощью удаления некоторых символов из $$$s$$$ (возможно нуля). Например, скобочная последовательность $$$s = $$$«<span class="tex-font-style-tt">())(())</span>» имеет глубину $$$2$$$, потому что при удалении третьего символа мы получим правильную скобочную последовательность «<span class="tex-font-style-tt">()(())</span>» глубины $$$2$$$.</p><p>Дана строка $$$a$$$, состоящая из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Рассмотрим все (не обязательно правильные) скобочные последовательности, получающиеся заменой всех символов '<span class="tex-font-style-tt">?</span>' в строке $$$a$$$ на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'. Посчитайте сумму глубин всех таких скобочных последовательностей. Так как это число может быть очень большим, найдите его по модулю $$$998244353$$$.</p><p><span class="tex-font-style-bf">Взломы</span> в первом дивизионе по этой задачи могут быть сделаны, только если простая и сложная версия этой задачи сданы.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Единственная строка содержит непустую строку, состоящую только из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Длина строки не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> ?? </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> (?(?)) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">((</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">))</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">)(</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">()</span>». Ее глубина $$$1$$$. </li></ul><p>Поэтому, ответ равен $$$1 = 0 + 0 + 0 + 1$$$.</p><p>Во втором тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">(((())</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">()()))</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">((()))</span>». Ее глубина $$$3$$$; </li><li> «<span class="tex-font-style-tt">()(())</span>». Ее глубина $$$2$$$. </li></ul><p>Поэтому, ответ равен $$$9 = 2 + 2 + 3 + 2$$$.</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D1" data-uuid="ps_56b0aa8989b5bb84454ab37de8331a8df2ff7c84"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D1. Красивая скобочная последовательность (простая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это простая версия этой задачи. Единственное отличие в ограничении на $$$n$$$ — длине входной строки. В этой версии, $$$1 \leq n \leq 2000$$$. Сложная версия этой задачи не предлагается в раунде для второго дивизиона.</span></p><p>Определим правильную скобочную последовательность и ее глубину следующим образом:</p><ul> <li> Пустая строка это правильная скобочная последовательность глубины $$$0$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» это правильная скобочная последовательность глубины $$$d$$$ тогда «<span class="tex-font-style-tt">(s)</span>» это правильная скобочная последовательность глубины $$$d + 1$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» и «<span class="tex-font-style-tt">t</span>» это две правильные скобочные последовательности тогда их конкатенация «<span class="tex-font-style-tt">st</span>» это правильная скобочная последовательность с глубиной равной максимальной из глубин $$$s$$$ и $$$t$$$. </li></ul><p>Для (не обязательно правильной) скобочной последовательности $$$s$$$ мы определяем ее глубину как максимальную глубину любой <span class="tex-font-style-bf">правильной</span> скобочной последовательности, которая может быть получена с помощью удаления некоторых символов из $$$s$$$ (возможно нуля). Например, скобочная последовательность $$$s = $$$«<span class="tex-font-style-tt">())(())</span>» имеет глубину $$$2$$$, потому что при удалении третьего символа мы получим правильную скобочную последовательность «<span class="tex-font-style-tt">()(())</span>» глубины $$$2$$$.</p><p>Дана строка $$$a$$$, состоящая из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Рассмотрим все (не обязательно правильные) скобочные последовательности, получающиеся заменой всех символов '<span class="tex-font-style-tt">?</span>' в строке $$$a$$$ на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'. Посчитайте сумму глубин всех таких скобочных последовательностей. Так как это число может быть очень большим, найдите его по модулю $$$998244353$$$.</p><p><span class="tex-font-style-bf">Взломы</span> в первом дивизионе по этой задачи могут быть сделаны, только если простая и сложная версия этой задачи сданы.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Единственная строка содержит непустую строку, состоящую только из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Длина строки не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> ?? </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> (?(?)) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">((</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">))</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">)(</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">()</span>». Ее глубина $$$1$$$. </li></ul><p>Поэтому, ответ равен $$$1 = 0 + 0 + 0 + 1$$$.</p><p>Во втором тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">(((())</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">()()))</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">((()))</span>». Ее глубина $$$3$$$; </li><li> «<span class="tex-font-style-tt">()(())</span>». Ее глубина $$$2$$$. </li></ul><p>Поэтому, ответ равен $$$9 = 2 + 2 + 3 + 2$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D1]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); 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["\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u041a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043c\u0430\u0442. \u043e\u0436\u0438\u0434\u0430\u043d\u0438\u044f, \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u043f", "\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u0442\u0435\u043e\u0440\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439", "*2600"]

1264D2

1264

D2

ru

D2. Красивая скобочная последовательность (сложная версия)

<div class="problem-statement"><div class="header"><div class="title">D2. Красивая скобочная последовательность (сложная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это сложная версия этой задачи. Единственное отличие в ограничении на $$$n$$$ — длине входной строки. В этой версии, $$$1 \leq n \leq 10^6$$$.</span></p><p>Определим правильную скобочную последовательность и ее глубину следующим образом:</p><ul> <li> Пустая строка это правильная скобочная последовательность глубины $$$0$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» это правильная скобочная последовательность глубины $$$d$$$ тогда «<span class="tex-font-style-tt">(s)</span>» это правильная скобочная последовательность глубины $$$d + 1$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» и «<span class="tex-font-style-tt">t</span>» это две правильные скобочные последовательности тогда их конкатенация «<span class="tex-font-style-tt">st</span>» это правильная скобочная последовательность с глубиной равной максимальной из глубин $$$s$$$ и $$$t$$$. </li></ul><p>Для (не обязательно правильной) скобочной последовательности $$$s$$$ мы определяем ее глубину как максимальную глубину любой <span class="tex-font-style-bf">правильной</span> скобочной последовательности, которая может быть получена с помощью удаления некоторых символов из $$$s$$$ (возможно нуля). Например, скобочная последовательность $$$s = $$$«<span class="tex-font-style-tt">())(())</span>» имеет глубину $$$2$$$, потому что при удалении третьего символа мы получим правильную скобочную последовательность «<span class="tex-font-style-tt">()(())</span>» глубины $$$2$$$.</p><p>Дана строка $$$a$$$, состоящая из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Рассмотрим все (не обязательно правильные) скобочные последовательности, получающиеся заменой всех символов '<span class="tex-font-style-tt">?</span>' в строке $$$a$$$ на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'. Посчитайте сумму глубин всех таких скобочных последовательностей. Так как это число может быть очень большим, найдите его по модулю $$$998244353$$$.</p><p><span class="tex-font-style-bf">Взломы</span> по этой задачи могут быть сделаны, только если простая и сложная версия этой задачи сданы.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Единственная строка содержит непустую строку, состоящую только из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Длина строки не превосходит $$$10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> ?? </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> (?(?)) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">((</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">))</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">)(</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">()</span>». Ее глубина $$$1$$$. </li></ul><p>Поэтому, ответ равен $$$1 = 0 + 0 + 0 + 1$$$.</p><p>Во втором тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">(((())</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">()()))</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">((()))</span>». Ее глубина $$$3$$$; </li><li> «<span class="tex-font-style-tt">()(())</span>». Ее глубина $$$2$$$. </li></ul><p>Поэтому, ответ равен $$$9 = 2 + 2 + 3 + 2$$$.</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D2" data-uuid="ps_d2ad5b0b4055f21bed600722b146ed755bd82a2b"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D2. Красивая скобочная последовательность (сложная версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это сложная версия этой задачи. Единственное отличие в ограничении на $$$n$$$ — длине входной строки. В этой версии, $$$1 \leq n \leq 10^6$$$.</span></p><p>Определим правильную скобочную последовательность и ее глубину следующим образом:</p><ul> <li> Пустая строка это правильная скобочная последовательность глубины $$$0$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» это правильная скобочная последовательность глубины $$$d$$$ тогда «<span class="tex-font-style-tt">(s)</span>» это правильная скобочная последовательность глубины $$$d + 1$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» и «<span class="tex-font-style-tt">t</span>» это две правильные скобочные последовательности тогда их конкатенация «<span class="tex-font-style-tt">st</span>» это правильная скобочная последовательность с глубиной равной максимальной из глубин $$$s$$$ и $$$t$$$. </li></ul><p>Для (не обязательно правильной) скобочной последовательности $$$s$$$ мы определяем ее глубину как максимальную глубину любой <span class="tex-font-style-bf">правильной</span> скобочной последовательности, которая может быть получена с помощью удаления некоторых символов из $$$s$$$ (возможно нуля). Например, скобочная последовательность $$$s = $$$«<span class="tex-font-style-tt">())(())</span>» имеет глубину $$$2$$$, потому что при удалении третьего символа мы получим правильную скобочную последовательность «<span class="tex-font-style-tt">()(())</span>» глубины $$$2$$$.</p><p>Дана строка $$$a$$$, состоящая из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Рассмотрим все (не обязательно правильные) скобочные последовательности, получающиеся заменой всех символов '<span class="tex-font-style-tt">?</span>' в строке $$$a$$$ на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'. Посчитайте сумму глубин всех таких скобочных последовательностей. Так как это число может быть очень большим, найдите его по модулю $$$998244353$$$.</p><p><span class="tex-font-style-bf">Взломы</span> по этой задачи могут быть сделаны, только если простая и сложная версия этой задачи сданы.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Единственная строка содержит непустую строку, состоящую только из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Длина строки не превосходит $$$10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> ?? </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> (?(?)) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">((</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">))</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">)(</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">()</span>». Ее глубина $$$1$$$. </li></ul><p>Поэтому, ответ равен $$$1 = 0 + 0 + 0 + 1$$$.</p><p>Во втором тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">(((())</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">()()))</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">((()))</span>». Ее глубина $$$3$$$; </li><li> «<span class="tex-font-style-tt">()(())</span>». Ее глубина $$$2$$$. </li></ul><p>Поэтому, ответ равен $$$9 = 2 + 2 + 3 + 2$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D2]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); 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["\u041a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043c\u0430\u0442. \u043e\u0436\u0438\u0434\u0430\u043d\u0438\u044f, \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u0442\u0435\u043e\u0440\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439", "*2900"]

1264E

1264

E

ru

E. Красивая лига

<div class="problem-statement"><div class="header"><div class="title">E. Красивая лига</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Футбольная лига недавно стартовала в Красивой долине. Всего $$$n$$$ команд участвует в этой лиге. Пронумеруем их для удобства целыми числами от $$$1$$$ до $$$n$$$.</p><p>Всего будет проведено ровно $$$\frac{n(n-1)}{2}$$$ матчей: каждая команда будет играть со всеми оставшимися командами ровно по одному разу. В каждом матче всегда есть победившая и проигравшая команда, ничьих не бывает.</p><p>После того, как все матчи будут сыграны, организаторы посчитают количество <span class="tex-font-style-it">красивых троек</span>. Тройка команд $$$(A, B, C)$$$ называется красивой, если команда $$$A$$$ победила команду $$$B$$$, команда $$$B$$$ победила команду $$$C$$$ и команда $$$C$$$ победила команду $$$A$$$. Мы рассматриваем только тройки различных команд, порядок команд внутри тройки имеет значение.</p><p>Красотой лиги назовем количество красивых троек.</p><p>В данный момент, $$$m$$$ матчей уже было проведено и их результаты уже известны.</p><p>Какая максимальная красота лиги может быть в итоге, после проведения оставшихся матчей? Также найдите возможные результаты оставшихся $$$\frac{n(n-1)}{2} - m$$$ матчей, при которых красота лиги максимально возможная.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится два целых числа $$$n, m$$$ ($$$3 \leq n \leq 50, 0 \leq m \leq \frac{n(n-1)}{2}$$$) — количество команд в футбольной лиге и количество матчей, которое уже проведено.</p><p>Следующие $$$m$$$ строк содержат два целых числа $$$u$$$ и $$$v$$$ ($$$1 \leq u, v \leq n$$$, $$$u \neq v$$$), означающих, что команда с номером $$$u$$$ победила команду с номером $$$v$$$. Гарантируется, что каждая неупорядоченная пара команд встретится не более одного раза.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ строк, в каждой из них строку, содержащую ровно $$$n$$$ символов. Каждый символ должен быть равен $$$0$$$ или $$$1$$$.</p><p>Обозначим за $$$a_{ij}$$$ $$$j$$$-е число в $$$i$$$-й строке. Для всех $$$1 \leq i \leq n$$$ должно быть выполнено $$$a_{ii} = 0$$$. Для всех пар команд $$$i \neq j$$$ число $$$a_{ij}$$$ обозначает результат матча между командой с номером $$$i$$$ и командой с номером $$$j$$$:</p><ul> <li> Если $$$a_{ij}$$$ это $$$1$$$, то $$$i$$$-я команда победила $$$j$$$-ю команду; </li><li> Иначе $$$j$$$-я команда победила $$$i$$$-ю команду; </li><li> Также, должно быть выполнено, что $$$a_{ij} + a_{ji} = 1$$$. </li></ul><p>Также заметьте, что результаты $$$m$$$ матчей, которые уже были сыграны, не могут быть изменены в вашей лиге.</p><p>Красота лиги, представленной в качестве ответа должна быть максимально возможной. Если существует несколько лиг, подходящих под условия и красота которых максимальна, вы можете найти любую из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 1 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 010 001 100 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 2 1 2 1 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0110 0001 0100 1010 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Красота лиги в первом тесте равна $$$3$$$, потому что есть ровно три красивые тройки команд: $$$(1, 2, 3)$$$, $$$(2, 3, 1)$$$, $$$(3, 1, 2)$$$.</p><p>Красота лиги во втором тесте равна $$$6$$$ потому что существует шесть красивых троек команд: $$$(1, 2, 4)$$$, $$$(2, 4, 1)$$$, $$$(4, 1, 2)$$$, $$$(2, 4, 3)$$$, $$$(4, 3, 2)$$$, $$$(3, 2, 4)$$$.</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_6a8ed35113d75a49ae7cb560c86c6a9d224874da"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Красивая лига</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Футбольная лига недавно стартовала в Красивой долине. Всего $$$n$$$ команд участвует в этой лиге. Пронумеруем их для удобства целыми числами от $$$1$$$ до $$$n$$$.</p><p>Всего будет проведено ровно $$$\frac{n(n-1)}{2}$$$ матчей: каждая команда будет играть со всеми оставшимися командами ровно по одному разу. В каждом матче всегда есть победившая и проигравшая команда, ничьих не бывает.</p><p>После того, как все матчи будут сыграны, организаторы посчитают количество <span class="tex-font-style-it">красивых троек</span>. Тройка команд $$$(A, B, C)$$$ называется красивой, если команда $$$A$$$ победила команду $$$B$$$, команда $$$B$$$ победила команду $$$C$$$ и команда $$$C$$$ победила команду $$$A$$$. Мы рассматриваем только тройки различных команд, порядок команд внутри тройки имеет значение.</p><p>Красотой лиги назовем количество красивых троек.</p><p>В данный момент, $$$m$$$ матчей уже было проведено и их результаты уже известны.</p><p>Какая максимальная красота лиги может быть в итоге, после проведения оставшихся матчей? Также найдите возможные результаты оставшихся $$$\frac{n(n-1)}{2} - m$$$ матчей, при которых красота лиги максимально возможная.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится два целых числа $$$n, m$$$ ($$$3 \leq n \leq 50, 0 \leq m \leq \frac{n(n-1)}{2}$$$) — количество команд в футбольной лиге и количество матчей, которое уже проведено.</p><p>Следующие $$$m$$$ строк содержат два целых числа $$$u$$$ и $$$v$$$ ($$$1 \leq u, v \leq n$$$, $$$u \neq v$$$), означающих, что команда с номером $$$u$$$ победила команду с номером $$$v$$$. Гарантируется, что каждая неупорядоченная пара команд встретится не более одного раза.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ строк, в каждой из них строку, содержащую ровно $$$n$$$ символов. Каждый символ должен быть равен $$$0$$$ или $$$1$$$.</p><p>Обозначим за $$$a_{ij}$$$ $$$j$$$-е число в $$$i$$$-й строке. Для всех $$$1 \leq i \leq n$$$ должно быть выполнено $$$a_{ii} = 0$$$. Для всех пар команд $$$i \neq j$$$ число $$$a_{ij}$$$ обозначает результат матча между командой с номером $$$i$$$ и командой с номером $$$j$$$:</p><ul> <li> Если $$$a_{ij}$$$ это $$$1$$$, то $$$i$$$-я команда победила $$$j$$$-ю команду; </li><li> Иначе $$$j$$$-я команда победила $$$i$$$-ю команду; </li><li> Также, должно быть выполнено, что $$$a_{ij} + a_{ji} = 1$$$. </li></ul><p>Также заметьте, что результаты $$$m$$$ матчей, которые уже были сыграны, не могут быть изменены в вашей лиге.</p><p>Красота лиги, представленной в качестве ответа должна быть максимально возможной. Если существует несколько лиг, подходящих под условия и красота которых максимальна, вы можете найти любую из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 1 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 010 001 100 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 2 1 2 1 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0110 0001 0100 1010 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Красота лиги в первом тесте равна $$$3$$$, потому что есть ровно три красивые тройки команд: $$$(1, 2, 3)$$$, $$$(2, 3, 1)$$$, $$$(3, 1, 2)$$$.</p><p>Красота лиги во втором тесте равна $$$6$$$ потому что существует шесть красивых троек команд: $$$(1, 2, 4)$$$, $$$(2, 4, 1)$$$, $$$(4, 1, 2)$$$, $$$(2, 4, 3)$$$, $$$(4, 3, 2)$$$, $$$(3, 2, 4)$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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1264F

1264

F

ru

F. Красивая задача с числами Фиббоначи

<div class="problem-statement"><div class="header"><div class="title">F. Красивая задача с числами Фиббоначи</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Известные числа Фиббоначи $$$F_0, F_1, F_2,\ldots $$$ определяются следующим образом: </p><ul> <li> $$$F_0 = 0, F_1 = 1$$$. </li><li> Для всех $$$i \geq 2$$$: $$$F_i = F_{i - 1} + F_{i - 2}$$$. </li></ul><p>Дана возрастающая арифметическая прогрессия положительных целых чисел с $$$n$$$ числами $$$(a, a + d, a + 2\cdot d,\ldots, a + (n - 1)\cdot d)$$$.</p><p>Вы должны найди другую возрастающую арифметическую прогрессию положительных целых чисел с $$$n$$$ числами $$$(b, b + e, b + 2\cdot e,\ldots, b + (n - 1)\cdot e)$$$, такую что:</p><ul> <li> $$$0 < b, e < 2^{64}$$$, </li><li> для всех $$$0\leq i < n$$$, запись числа $$$a + i \cdot d$$$ в десятичной системе счисления встречается как подстрока в строке, образованной последними $$$18$$$-ю цифрами десятичной записи числа $$$F_{b + i \cdot e}$$$ (если это число содержит меньше чем $$$18$$$ цифр, тогда рассмотрим все его цифры). </li></ul></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит три положительных целых числа $$$n$$$, $$$a$$$, $$$d$$$ ($$$1 \leq n, a, d, a + (n - 1) \cdot d < 10^6$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если не существует подходящей арифметической прогрессии, выведите единственное число $$$-1$$$.</p><p>Иначе, выведите два целых числа $$$b$$$ и $$$e$$$, разделенных пробелом в единственной строке ($$$0 < b, e < 2^{64}$$$).</p><p>Если существует несколько возможных ответов, вы можете найти любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 1</pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 19 5 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем выбрать $$$(b, e) = (2, 1)$$$, потому что $$$F_2 = 1, F_3 = 2, F_4 = 3$$$.</p><p>Во втором тесте, мы можем выбрать $$$(b, e) = (19, 5)$$$, потому что:</p><ul> <li> $$$F_{19} = 4181$$$ содержит $$$1$$$; </li><li> $$$F_{24} = 46368$$$ содержит $$$3$$$; </li><li> $$$F_{29} = 514229$$$ содержит $$$5$$$; </li><li> $$$F_{34} = 5702887$$$ содержит $$$7$$$; </li><li> $$$F_{39} = 63245986$$$ содержит $$$9$$$. </li></ul></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_264f5f346bf2e6359132747b9de74955bf9ddbd3"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Красивая задача с числами Фиббоначи</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Известные числа Фиббоначи $$$F_0, F_1, F_2,\ldots $$$ определяются следующим образом: </p><ul> <li> $$$F_0 = 0, F_1 = 1$$$. </li><li> Для всех $$$i \geq 2$$$: $$$F_i = F_{i - 1} + F_{i - 2}$$$. </li></ul><p>Дана возрастающая арифметическая прогрессия положительных целых чисел с $$$n$$$ числами $$$(a, a + d, a + 2\cdot d,\ldots, a + (n - 1)\cdot d)$$$.</p><p>Вы должны найди другую возрастающую арифметическую прогрессию положительных целых чисел с $$$n$$$ числами $$$(b, b + e, b + 2\cdot e,\ldots, b + (n - 1)\cdot e)$$$, такую что:</p><ul> <li> $$$0 < b, e < 2^{64}$$$, </li><li> для всех $$$0\leq i < n$$$, запись числа $$$a + i \cdot d$$$ в десятичной системе счисления встречается как подстрока в строке, образованной последними $$$18$$$-ю цифрами десятичной записи числа $$$F_{b + i \cdot e}$$$ (если это число содержит меньше чем $$$18$$$ цифр, тогда рассмотрим все его цифры). </li></ul></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит три положительных целых числа $$$n$$$, $$$a$$$, $$$d$$$ ($$$1 \leq n, a, d, a + (n - 1) \cdot d < 10^6$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если не существует подходящей арифметической прогрессии, выведите единственное число $$$-1$$$.</p><p>Иначе, выведите два целых числа $$$b$$$ и $$$e$$$, разделенных пробелом в единственной строке ($$$0 < b, e < 2^{64}$$$).</p><p>Если существует несколько возможных ответов, вы можете найти любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 1</pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 19 5 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем выбрать $$$(b, e) = (2, 1)$$$, потому что $$$F_2 = 1, F_3 = 2, F_4 = 3$$$.</p><p>Во втором тесте, мы можем выбрать $$$(b, e) = (19, 5)$$$, потому что:</p><ul> <li> $$$F_{19} = 4181$$$ содержит $$$1$$$; 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["\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0422\u0435\u043e\u0440\u0438\u044f \u0447\u0438\u0441\u0435\u043b: \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u042d\u0439\u043b\u0435\u0440\u0430, \u041d\u041e\u0414, \u0434\u0435\u043b\u0438\u043c\u043e\u0441\u0442\u044c \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u0442\u0435\u043e\u0440\u0438\u044f \u0447\u0438\u0441\u0435\u043b", "*3500"]

1265A

1265

A

ru

A. Красивая строка

<div class="problem-statement"><div class="header"><div class="title">A. Красивая строка</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Строка называется красивой, если никакие два последовательных символа строки не равны. Например, строки «<span class="tex-font-style-tt">ababcb</span>», «<span class="tex-font-style-tt">a</span>» и «<span class="tex-font-style-tt">abab</span>» красивые, тогда как «<span class="tex-font-style-tt">aaaaaa</span>», «<span class="tex-font-style-tt">abaa</span>» и «<span class="tex-font-style-tt">bb</span>» нет.</p><p>Ahcl хочет построить красивую строку. У него есть строка $$$s$$$, состоящая только из символов '<span class="tex-font-style-tt">a</span>', '<span class="tex-font-style-tt">b</span>', '<span class="tex-font-style-tt">c</span>' и '<span class="tex-font-style-tt">?</span>'. Ahcl должен поменять каждый символ '<span class="tex-font-style-tt">?</span>' на один из трех символов '<span class="tex-font-style-tt">a</span>', '<span class="tex-font-style-tt">b</span>' или '<span class="tex-font-style-tt">c</span>', так что получившаяся строка будет красивой. Помогите ему!</p><p>Более формально, после замены всех символов '<span class="tex-font-style-tt">?</span>', условие $$$s_i \neq s_{i+1}$$$ должно быть выполнено для всех $$$1 \leq i \leq |s| - 1$$$, где $$$|s|$$$ это длина строки $$$s$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится положительное целое число $$$t$$$ ($$$1 \leq t \leq 1000$$$) — количество тестовых случаев. Следующие $$$t$$$ строк содержат описания тестовых случаев.</p><p>Каждая строка содержит непустую строку $$$s$$$, состоящую только из символов '<span class="tex-font-style-tt">a</span>', '<span class="tex-font-style-tt">b</span>', '<span class="tex-font-style-tt">c</span>' и '<span class="tex-font-style-tt">?</span>'.</p><p>Гарантируется, что в каждом тестовом случае строка $$$s$$$ содержит хотя бы один символ '<span class="tex-font-style-tt">?</span>'. Сумма длин строк $$$s$$$ по всем тестовым случаям не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая во входных данных выведите ответ в следующем формате:</p><ul> <li> Если невозможно получить красивую строку, выведите «<span class="tex-font-style-tt">-1</span>» (без кавычек); </li><li> Иначе, выведите получившуюся красивую строку после замены всех символов '<span class="tex-font-style-tt">?</span>'. Если существует несколько возможных ответов, вы можете найти любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 a???cb a??bbc a?b?c </pre></div><div class="output"><div class="title">Выходные данные</div><pre> ababcb -1 acbac </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае, все возможные правильные ответы это «<span class="tex-font-style-tt">ababcb</span>», «<span class="tex-font-style-tt">abcacb</span>», «<span class="tex-font-style-tt">abcbcb</span>», «<span class="tex-font-style-tt">acabcb</span>» и «<span class="tex-font-style-tt">acbacb</span>». Два ответа «<span class="tex-font-style-tt">abcbab</span>» and «<span class="tex-font-style-tt">abaabc</span>» являются неправильными, потому что можно заменять только символы '<span class="tex-font-style-tt">?</span>' и получившаяся строка должна быть красивой.</p><p>Во втором тестовом случае, невозможно получить красивую строку, потому что $$$4$$$-й и $$$5$$$-й символы будут всегда совпадать.</p><p>В третьем тестовом случае, единственный возможный ответ это «<span class="tex-font-style-tt">acbac</span>».</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9997" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71995" title="Codeforces Round #604 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10021" resourceName="Codeforces Round #604 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1265">Задачи</a></li> <li><a href="/contest/1265/submit">Отослать</a></li> <li><a href="/contest/1265/my">Мои посылки</a></li> <li><a href="/contest/1265/status">Статус</a></li> <li><a href="/contest/1265/hacks">Взломы</a></li> <li><a href="/contest/1265/room/1">Комната</a></li> <li><a href="/contest/1265/standings">Положение</a></li> <li><a href="/contest/1265/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_81266e03f95ea123fd3558f5eabe57cecbf1839f"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Красивая строка</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Строка называется красивой, если никакие два последовательных символа строки не равны. Например, строки «<span class="tex-font-style-tt">ababcb</span>», «<span class="tex-font-style-tt">a</span>» и «<span class="tex-font-style-tt">abab</span>» красивые, тогда как «<span class="tex-font-style-tt">aaaaaa</span>», «<span class="tex-font-style-tt">abaa</span>» и «<span class="tex-font-style-tt">bb</span>» нет.</p><p>Ahcl хочет построить красивую строку. У него есть строка $$$s$$$, состоящая только из символов '<span class="tex-font-style-tt">a</span>', '<span class="tex-font-style-tt">b</span>', '<span class="tex-font-style-tt">c</span>' и '<span class="tex-font-style-tt">?</span>'. Ahcl должен поменять каждый символ '<span class="tex-font-style-tt">?</span>' на один из трех символов '<span class="tex-font-style-tt">a</span>', '<span class="tex-font-style-tt">b</span>' или '<span class="tex-font-style-tt">c</span>', так что получившаяся строка будет красивой. Помогите ему!</p><p>Более формально, после замены всех символов '<span class="tex-font-style-tt">?</span>', условие $$$s_i \neq s_{i+1}$$$ должно быть выполнено для всех $$$1 \leq i \leq |s| - 1$$$, где $$$|s|$$$ это длина строки $$$s$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится положительное целое число $$$t$$$ ($$$1 \leq t \leq 1000$$$) — количество тестовых случаев. Следующие $$$t$$$ строк содержат описания тестовых случаев.</p><p>Каждая строка содержит непустую строку $$$s$$$, состоящую только из символов '<span class="tex-font-style-tt">a</span>', '<span class="tex-font-style-tt">b</span>', '<span class="tex-font-style-tt">c</span>' и '<span class="tex-font-style-tt">?</span>'.</p><p>Гарантируется, что в каждом тестовом случае строка $$$s$$$ содержит хотя бы один символ '<span class="tex-font-style-tt">?</span>'. Сумма длин строк $$$s$$$ по всем тестовым случаям не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая во входных данных выведите ответ в следующем формате:</p><ul> <li> Если невозможно получить красивую строку, выведите «<span class="tex-font-style-tt">-1</span>» (без кавычек); </li><li> Иначе, выведите получившуюся красивую строку после замены всех символов '<span class="tex-font-style-tt">?</span>'. Если существует несколько возможных ответов, вы можете найти любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 a???cb a??bbc a?b?c </pre></div><div class="output"><div class="title">Выходные данные</div><pre> ababcb -1 acbac </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае, все возможные правильные ответы это «<span class="tex-font-style-tt">ababcb</span>», «<span class="tex-font-style-tt">abcacb</span>», «<span class="tex-font-style-tt">abcbcb</span>», «<span class="tex-font-style-tt">acabcb</span>» и «<span class="tex-font-style-tt">acbacb</span>». Два ответа «<span class="tex-font-style-tt">abcbab</span>» and «<span class="tex-font-style-tt">abaabc</span>» являются неправильными, потому что можно заменять только символы '<span class="tex-font-style-tt">?</span>' и получившаяся строка должна быть красивой.</p><p>Во втором тестовом случае, невозможно получить красивую строку, потому что $$$4$$$-й и $$$5$$$-й символы будут всегда совпадать.</p><p>В третьем тестовом случае, единственный возможный ответ это «<span class="tex-font-style-tt">acbac</span>».</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "*1000"]

1265B

1265

B

ru

B. Красивые числа

<div class="problem-statement"><div class="header"><div class="title">B. Красивые числа</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана перестановка $$$p=[p_1, p_2, \ldots, p_n]$$$ целых чисел от $$$1$$$ до $$$n$$$. Назовем число $$$m$$$ ($$$1 \le m \le n$$$) <span class="tex-font-style-it">красивым</span>, если существует два индекса $$$l, r$$$ ($$$1 \le l \le r \le n$$$), таких что $$$[p_l, p_{l+1}, \ldots, p_r]$$$ это перестановка чисел $$$1, 2, \ldots, m$$$.</p><p>Например, пусть $$$p = [4, 5, 1, 3, 2, 6]$$$. В этом случае числа $$$1, 3, 5, 6$$$ красивые, а $$$2, 4$$$ нет. Это так, потому что:</p><ul> <li> если $$$l = 3$$$ и $$$r = 3$$$ мы получим перестановку $$$[1]$$$ для $$$m = 1$$$; </li><li> если $$$l = 3$$$ и $$$r = 5$$$ мы получим перестановку $$$[1, 3, 2]$$$ для $$$m = 3$$$; </li><li> если $$$l = 1$$$ и $$$r = 5$$$ мы получим перестановку $$$[4, 5, 1, 3, 2]$$$ для $$$m = 5$$$; </li><li> если $$$l = 1$$$ и $$$r = 6$$$ мы получим перестановку $$$[4, 5, 1, 3, 2, 6]$$$ для $$$m = 6$$$; </li><li> невозможно взять некоторые $$$l$$$ и $$$r$$$, так что $$$[p_l, p_{l+1}, \ldots, p_r]$$$ будет перестановкой чисел $$$1, 2, \ldots, m$$$ для $$$m = 2$$$ и для $$$m = 4$$$. </li></ul><p>Вам дана перестановка $$$p=[p_1, p_2, \ldots, p_n]$$$. Для всех $$$m$$$ ($$$1 \le m \le n$$$) определите, является ли это число красивым или нет.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится единственное целое число $$$t$$$ ($$$1 \le t \le 1000$$$) — количество тестовых случаев. В следующих строках находятся описания тестовых случаев.</p><p>В первой строке описания тестового случая находится единственное целое число $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — длина перестановки $$$p$$$. Следующая строка содержит $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \le p_i \le n$$$, все $$$p_i$$$ различны) — данная перестановка $$$p$$$.</p><p>Гарантируется, что сумма $$$n$$$ по всем тестовым случаям во входных данных не превосходит $$$2 \cdot 10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк — ответы на тестовые случаи, в порядке их следования во входных данных.</p><p>Ответом на тестовый случай является строка длины $$$n$$$, где $$$i$$$-й символ равен $$$1$$$, если $$$i$$$ это красивое число и равен $$$0$$$ если $$$i$$$ не является красивым числом.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 4 5 1 3 2 6 5 5 3 1 2 4 4 1 4 3 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 101011 11111 1001 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый тестовый случай описан в условии задачи.</p><p>Во втором тестовом случае все числа от $$$1$$$ до $$$5$$$ красивые:</p><ul> <li> если $$$l = 3$$$ и $$$r = 3$$$ мы получим перестановку $$$[1]$$$ для $$$m = 1$$$; </li><li> если $$$l = 3$$$ и $$$r = 4$$$ мы получим перестановку $$$[1, 2]$$$ для $$$m = 2$$$; </li><li> если $$$l = 2$$$ и $$$r = 4$$$ мы получим перестановку $$$[3, 1, 2]$$$ для $$$m = 3$$$; </li><li> если $$$l = 2$$$ и $$$r = 5$$$ мы получим перестановку $$$[3, 1, 2, 4]$$$ для $$$m = 4$$$; </li><li> если $$$l = 1$$$ и $$$r = 5$$$ мы получим перестановку $$$[5, 3, 1, 2, 4]$$$ для $$$m = 5$$$. </li></ul></div></div>

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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9997" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71995" title="Codeforces Round #604 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10021" resourceName="Codeforces Round #604 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1265">Задачи</a></li> <li><a href="/contest/1265/submit">Отослать</a></li> <li><a href="/contest/1265/my">Мои посылки</a></li> <li><a href="/contest/1265/status">Статус</a></li> <li><a href="/contest/1265/hacks">Взломы</a></li> <li><a href="/contest/1265/room/1">Комната</a></li> <li><a href="/contest/1265/standings">Положение</a></li> <li><a href="/contest/1265/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_ce53103937be433e3ce08a6442701f0994b2e4f4"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Красивые числа</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана перестановка $$$p=[p_1, p_2, \ldots, p_n]$$$ целых чисел от $$$1$$$ до $$$n$$$. Назовем число $$$m$$$ ($$$1 \le m \le n$$$) <span class="tex-font-style-it">красивым</span>, если существует два индекса $$$l, r$$$ ($$$1 \le l \le r \le n$$$), таких что $$$[p_l, p_{l+1}, \ldots, p_r]$$$ это перестановка чисел $$$1, 2, \ldots, m$$$.</p><p>Например, пусть $$$p = [4, 5, 1, 3, 2, 6]$$$. В этом случае числа $$$1, 3, 5, 6$$$ красивые, а $$$2, 4$$$ нет. Это так, потому что:</p><ul> <li> если $$$l = 3$$$ и $$$r = 3$$$ мы получим перестановку $$$[1]$$$ для $$$m = 1$$$; </li><li> если $$$l = 3$$$ и $$$r = 5$$$ мы получим перестановку $$$[1, 3, 2]$$$ для $$$m = 3$$$; </li><li> если $$$l = 1$$$ и $$$r = 5$$$ мы получим перестановку $$$[4, 5, 1, 3, 2]$$$ для $$$m = 5$$$; </li><li> если $$$l = 1$$$ и $$$r = 6$$$ мы получим перестановку $$$[4, 5, 1, 3, 2, 6]$$$ для $$$m = 6$$$; </li><li> невозможно взять некоторые $$$l$$$ и $$$r$$$, так что $$$[p_l, p_{l+1}, \ldots, p_r]$$$ будет перестановкой чисел $$$1, 2, \ldots, m$$$ для $$$m = 2$$$ и для $$$m = 4$$$. </li></ul><p>Вам дана перестановка $$$p=[p_1, p_2, \ldots, p_n]$$$. Для всех $$$m$$$ ($$$1 \le m \le n$$$) определите, является ли это число красивым или нет.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится единственное целое число $$$t$$$ ($$$1 \le t \le 1000$$$) — количество тестовых случаев. В следующих строках находятся описания тестовых случаев.</p><p>В первой строке описания тестового случая находится единственное целое число $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — длина перестановки $$$p$$$. Следующая строка содержит $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \le p_i \le n$$$, все $$$p_i$$$ различны) — данная перестановка $$$p$$$.</p><p>Гарантируется, что сумма $$$n$$$ по всем тестовым случаям во входных данных не превосходит $$$2 \cdot 10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк — ответы на тестовые случаи, в порядке их следования во входных данных.</p><p>Ответом на тестовый случай является строка длины $$$n$$$, где $$$i$$$-й символ равен $$$1$$$, если $$$i$$$ это красивое число и равен $$$0$$$ если $$$i$$$ не является красивым числом.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 6 4 5 1 3 2 6 5 5 3 1 2 4 4 1 4 3 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 101011 11111 1001 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый тестовый случай описан в условии задачи.</p><p>Во втором тестовом случае все числа от $$$1$$$ до $$$5$$$ красивые:</p><ul> <li> если $$$l = 3$$$ и $$$r = 3$$$ мы получим перестановку $$$[1]$$$ для $$$m = 1$$$; </li><li> если $$$l = 3$$$ и $$$r = 4$$$ мы получим перестановку $$$[1, 2]$$$ для $$$m = 2$$$; </li><li> если $$$l = 2$$$ и $$$r = 4$$$ мы получим перестановку $$$[3, 1, 2]$$$ для $$$m = 3$$$; </li><li> если $$$l = 2$$$ и $$$r = 5$$$ мы получим перестановку $$$[3, 1, 2, 4]$$$ для $$$m = 4$$$; </li><li> если $$$l = 1$$$ и $$$r = 5$$$ мы получим перестановку $$$[5, 3, 1, 2, 4]$$$ для $$$m = 5$$$. </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); 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["\u0414\u0432\u0430 \u0443\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u0432\u0430 \u0443\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*1300"]

1265C

1265

C

ru

C. Beautiful Regional Contest

<div class="problem-statement"><div class="header"><div class="title">C. Beautiful Regional Contest</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вот и подошел к концу Beautiful Regional Contest (BeRC)! В соревновании приняли участие $$$n$$$ студентов. Уже известна таблица финальных результатов — участник на $$$i$$$-м месте решил $$$p_i$$$ задач. Так как в первую очередь участники упорядочиваются по количеству решенных задач, то $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Помогите жюри распределить золотые, серебряные и бронзовые медали. Пусть их количества равны $$$g$$$, $$$s$$$ и $$$b$$$, соответственно. Вот перечень требований из регламента, которые все должны быть удовлетворены:</p><ul> <li> для каждого из трёх достоинств медалей хотя бы одна медаль должна быть вручена (то есть $$$g>0$$$, $$$s>0$$$ и $$$b>0$$$); </li><li> количество золотых медалей должно быть строго меньше и количества серебряных и количества бронзовых (то есть $$$g<s$$$ и $$$g<b$$$, но требований между $$$s$$$ и $$$b$$$ нет); </li><li> каждый золотой медалист должен решить строго больше задач, чем любой награждённый серебряной медалью; </li><li> каждый серебряный медалист должен решить строго больше задач, чем любой награждённый бронзовой медалью; </li><li> каждый бронзовый медалист должен решить строго больше задач, чем любой не награждённый медалью участник; </li><li> суммарное количество медалистов $$$g+s+b$$$ не должно превышать половину всех участников (например, если $$$n=21$$$, то можно наградить максимум $$$10$$$ участников, а если $$$n=26$$$, то можно наградить максимум $$$13$$$ участников). </li></ul><p>Жюри хочет наградить медалями суммарно <span class="tex-font-style-bf">наибольшее</span> количество $$$g+s+b$$$ участников так, чтобы все перечисленные пункты выполнялись. Помогите жюри найти такой способ награждения медалями.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10000$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка набора входных данных содержит целое число $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$) — количество участников BeRC. Вторая строка набора содержит последовательность целых чисел $$$p_1, p_2, \dots, p_n$$$ ($$$0 \le p_i \le 10^6$$$), где $$$p_i$$$ равно количеству задач, решенных $$$i$$$-м участником из таблицы финальных результатов. Значения $$$p_i$$$ отсортированы по невозрастанию, то есть $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$4\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк, $$$j$$$-я строка должна содержать ответ на $$$j$$$-й набор входных данных. </p><p>Ответ состоит из трёх неотрицательных целых чисел $$$g, s, b$$$.</p><ul> <li> Выведите $$$g=s=b=0$$$, если не существует способа наградить участников медалями, чтобы одновременно выполнялись все требования из условия. </li><li> В противном случае выведите три положительных числа $$$g, s, b$$$ — возможное количество золотых, серебряных и бронзовых медалей, соответственно. Сумма $$$g+s+b$$$ должна быть максимально возможной. Если ответов несколько, то выведите любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 12 5 4 4 3 2 2 1 1 1 1 1 1 4 4 3 2 1 1 1000000 20 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 32 64 64 63 58 58 58 58 58 37 37 37 37 34 34 28 28 28 28 28 28 24 24 19 17 17 17 17 16 16 16 16 11 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 3 0 0 0 0 0 0 2 5 3 2 6 6 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае можно наградить $$$1$$$ золотой, $$$2$$$ серебряными и $$$3$$$ бронзовыми медалями участников. Тогда золотую медаль получит участник, решившая $$$5$$$ задач, серебрянные медали получат участники, решившие $$$4$$$ задачи, бронзовые медали получат участники решившие $$$2$$$ или $$$3$$$ задачи. Участники, решившие $$$1$$$ задачу медаль не получат. Заметим, что все условия выполнены и раздать медали таким способом можно. Больше, чем $$$6$$$ медалей выдать невозможно, потому что нельзя выдать больше чем половину от количества участников медалей. Ответ $$$1$$$, $$$3$$$, $$$2$$$ также является верным в этом тестовом случае.</p><p>Во втором и третьем тестовых случаев нельзя так раздать медали, потому что медаль каждого достоинства должна получить хотя бы один участник, но количество выданных медалей не должно превышать половину от количества участников.</p></div></div>

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background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *1500 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='2f1d696af97076ce59b51cb6e601853e'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="486710"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='2f1d696af97076ce59b51cb6e601853e'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="486710"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9997" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71995" title="Codeforces Round #604 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10021" resourceName="Codeforces Round #604 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1265">Задачи</a></li> <li><a href="/contest/1265/submit">Отослать</a></li> <li><a href="/contest/1265/my">Мои посылки</a></li> <li><a href="/contest/1265/status">Статус</a></li> <li><a href="/contest/1265/hacks">Взломы</a></li> <li><a href="/contest/1265/room/1">Комната</a></li> <li><a href="/contest/1265/standings">Положение</a></li> <li><a href="/contest/1265/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_8c49f03d82b770fbbb4c39241f5b6c79c18291bc"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Beautiful Regional Contest</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вот и подошел к концу Beautiful Regional Contest (BeRC)! В соревновании приняли участие $$$n$$$ студентов. Уже известна таблица финальных результатов — участник на $$$i$$$-м месте решил $$$p_i$$$ задач. Так как в первую очередь участники упорядочиваются по количеству решенных задач, то $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Помогите жюри распределить золотые, серебряные и бронзовые медали. Пусть их количества равны $$$g$$$, $$$s$$$ и $$$b$$$, соответственно. Вот перечень требований из регламента, которые все должны быть удовлетворены:</p><ul> <li> для каждого из трёх достоинств медалей хотя бы одна медаль должна быть вручена (то есть $$$g>0$$$, $$$s>0$$$ и $$$b>0$$$); </li><li> количество золотых медалей должно быть строго меньше и количества серебряных и количества бронзовых (то есть $$$g<s$$$ и $$$g<b$$$, но требований между $$$s$$$ и $$$b$$$ нет); </li><li> каждый золотой медалист должен решить строго больше задач, чем любой награждённый серебряной медалью; </li><li> каждый серебряный медалист должен решить строго больше задач, чем любой награждённый бронзовой медалью; </li><li> каждый бронзовый медалист должен решить строго больше задач, чем любой не награждённый медалью участник; </li><li> суммарное количество медалистов $$$g+s+b$$$ не должно превышать половину всех участников (например, если $$$n=21$$$, то можно наградить максимум $$$10$$$ участников, а если $$$n=26$$$, то можно наградить максимум $$$13$$$ участников). </li></ul><p>Жюри хочет наградить медалями суммарно <span class="tex-font-style-bf">наибольшее</span> количество $$$g+s+b$$$ участников так, чтобы все перечисленные пункты выполнялись. Помогите жюри найти такой способ награждения медалями.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10000$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка набора входных данных содержит целое число $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$) — количество участников BeRC. Вторая строка набора содержит последовательность целых чисел $$$p_1, p_2, \dots, p_n$$$ ($$$0 \le p_i \le 10^6$$$), где $$$p_i$$$ равно количеству задач, решенных $$$i$$$-м участником из таблицы финальных результатов. Значения $$$p_i$$$ отсортированы по невозрастанию, то есть $$$p_1 \ge p_2 \ge \dots \ge p_n$$$.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$4\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк, $$$j$$$-я строка должна содержать ответ на $$$j$$$-й набор входных данных. </p><p>Ответ состоит из трёх неотрицательных целых чисел $$$g, s, b$$$.</p><ul> <li> Выведите $$$g=s=b=0$$$, если не существует способа наградить участников медалями, чтобы одновременно выполнялись все требования из условия. </li><li> В противном случае выведите три положительных числа $$$g, s, b$$$ — возможное количество золотых, серебряных и бронзовых медалей, соответственно. Сумма $$$g+s+b$$$ должна быть максимально возможной. Если ответов несколько, то выведите любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 12 5 4 4 3 2 2 1 1 1 1 1 1 4 4 3 2 1 1 1000000 20 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 32 64 64 63 58 58 58 58 58 37 37 37 37 34 34 28 28 28 28 28 28 24 24 19 17 17 17 17 16 16 16 16 11 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 3 0 0 0 0 0 0 2 5 3 2 6 6 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае можно наградить $$$1$$$ золотой, $$$2$$$ серебряными и $$$3$$$ бронзовыми медалями участников. Тогда золотую медаль получит участник, решившая $$$5$$$ задач, серебрянные медали получат участники, решившие $$$4$$$ задачи, бронзовые медали получат участники решившие $$$2$$$ или $$$3$$$ задачи. Участники, решившие $$$1$$$ задачу медаль не получат. Заметим, что все условия выполнены и раздать медали таким способом можно. Больше, чем $$$6$$$ медалей выдать невозможно, потому что нельзя выдать больше чем половину от количества участников медалей. Ответ $$$1$$$, $$$3$$$, $$$2$$$ также является верным в этом тестовом случае.</p><p>Во втором и третьем тестовых случаев нельзя так раздать медали, потому что медаль каждого достоинства должна получить хотя бы один участник, но количество выданных медалей не должно превышать половину от количества участников.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "*1500"]

1265D

1265

D

ru

D. Красивая последовательность

<div class="problem-statement"><div class="header"><div class="title">D. Красивая последовательность</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Последовательность целых чисел называется <span class="tex-font-style-it">красивой</span> если абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Более формально, последовательность $$$s_1, s_2, \ldots, s_{n}$$$ красивая, если $$$|s_i - s_{i+1}| = 1$$$ для всех $$$1 \leq i \leq n - 1$$$.</p><p>У Вани есть $$$a$$$ чисел равных $$$0$$$, $$$b$$$ чисел равных $$$1$$$, $$$c$$$ чисел равных $$$2$$$ и $$$d$$$ чисел равных $$$3$$$. Он хочет построить красивую последовательность используя все эти $$$a + b + c + d$$$ чисел.</p><p>Оказалось, что это непростая задача и Ваня не справился решить ее. Помогите Ване!</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке находятся четыре неотрицательных целых числа $$$a$$$, $$$b$$$, $$$c$$$ и $$$d$$$ ($$$0 < a+b+c+d \leq 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно построить красивую последовательность, удовлетворяющую ограничениям, выведите «<span class="tex-font-style-tt">NO</span>» (без кавычек) в единственной строке.</p><p>Иначе, выведите «<span class="tex-font-style-tt">YES</span>» (без кавычек) в первой строке. Затем, во второй строке выведите $$$a + b + c + d$$$ целых чисел, разделенных пробелом — найденная красивая последовательность. Среди выведенных чисел должно быть ровно $$$a$$$ чисел, равных $$$0$$$, ровно $$$b$$$ чисел, равных $$$1$$$, ровно $$$c$$$ чисел, равных $$$2$$$ и ровно $$$d$$$ чисел, равных $$$3$$$.</p><p>Если существует несколько возможных ответов, вы можете вывести любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES 0 1 0 1 2 3 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 2 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, легко заметить, что последовательность красивая, потому что абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Также, в последовательности ровно два числа, равных $$$0$$$, $$$1$$$, $$$2$$$ и ровно одно число, равное $$$3$$$.</p><p>Можно доказать, что невозможно построить красивые последовательности во втором и третьем тесте.</p></div></div>

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params[key] = value; } }); $.post(dataPageUrl, params, function (result) { if (result["success"] !== "true") { Codeforces.showMessage("Не удалось сохранить состояние блока."); } }, "json"); return false; }); }) </script> </div> <div class="roundbox sidebox borderTopRound " style=""> <div class="caption titled">→ Теги задачи <div class="top-links"> </div> </div> <div style="padding: 0.5em;"> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Жадные алгоритмы"> жадные алгоритмы </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Конструктивные алгоритмы"> конструктив </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *1900 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='c33427d52fa3ecd412ccd5d38f25a3cd'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="486711"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='c33427d52fa3ecd412ccd5d38f25a3cd'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="486711"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9997" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71995" title="Codeforces Round #604 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10021" resourceName="Codeforces Round #604 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1265">Задачи</a></li> <li><a href="/contest/1265/submit">Отослать</a></li> <li><a href="/contest/1265/my">Мои посылки</a></li> <li><a href="/contest/1265/status">Статус</a></li> <li><a href="/contest/1265/hacks">Взломы</a></li> <li><a href="/contest/1265/room/1">Комната</a></li> <li><a href="/contest/1265/standings">Положение</a></li> <li><a href="/contest/1265/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_6afce266e77035c424e8ccdd95c7e6b650829dbc"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Красивая последовательность</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Последовательность целых чисел называется <span class="tex-font-style-it">красивой</span> если абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Более формально, последовательность $$$s_1, s_2, \ldots, s_{n}$$$ красивая, если $$$|s_i - s_{i+1}| = 1$$$ для всех $$$1 \leq i \leq n - 1$$$.</p><p>У Вани есть $$$a$$$ чисел равных $$$0$$$, $$$b$$$ чисел равных $$$1$$$, $$$c$$$ чисел равных $$$2$$$ и $$$d$$$ чисел равных $$$3$$$. Он хочет построить красивую последовательность используя все эти $$$a + b + c + d$$$ чисел.</p><p>Оказалось, что это непростая задача и Ваня не справился решить ее. Помогите Ване!</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке находятся четыре неотрицательных целых числа $$$a$$$, $$$b$$$, $$$c$$$ и $$$d$$$ ($$$0 < a+b+c+d \leq 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно построить красивую последовательность, удовлетворяющую ограничениям, выведите «<span class="tex-font-style-tt">NO</span>» (без кавычек) в единственной строке.</p><p>Иначе, выведите «<span class="tex-font-style-tt">YES</span>» (без кавычек) в первой строке. Затем, во второй строке выведите $$$a + b + c + d$$$ целых чисел, разделенных пробелом — найденная красивая последовательность. Среди выведенных чисел должно быть ровно $$$a$$$ чисел, равных $$$0$$$, ровно $$$b$$$ чисел, равных $$$1$$$, ровно $$$c$$$ чисел, равных $$$2$$$ и ровно $$$d$$$ чисел, равных $$$3$$$.</p><p>Если существует несколько возможных ответов, вы можете вывести любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES 0 1 0 1 2 3 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 2 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 2 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, легко заметить, что последовательность красивая, потому что абсолютная разница между любыми двумя соседними числами равна $$$1$$$. Также, в последовательности ровно два числа, равных $$$0$$$, $$$1$$$, $$$2$$$ и ровно одно число, равное $$$3$$$.</p><p>Можно доказать, что невозможно построить красивые последовательности во втором и третьем тесте.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "*1900"]

1265E

1265

E

ru

E. Красивые зеркала

<div class="problem-statement"><div class="header"><div class="title">E. Красивые зеркала</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Creatnx есть $$$n$$$ зеркал, пронумерованных от $$$1$$$ до $$$n$$$. Каждый день Creatnx спрашивает ровно одно зеркало «Красивый ли я?». $$$i$$$-е зеркало скажет Creatnx, что он красивый с вероятностью $$$\frac{p_i}{100}$$$ для всех $$$1 \le i \le n$$$.</p><p>Creatnx спрашивает зеркала одно за другим, начиная с $$$1$$$-о зеркала. Каждый день, если он спрашивает $$$i$$$-е зеркало, есть две возможности:</p><ul> <li> $$$i$$$-е зеркало скажет Creatnx, что он красивый. В этом случае, если $$$i = n$$$ Creatnx остановится и станет счастливым, иначе он продолжит спрашивать $$$i+1$$$-е зеркало на следующий день; </li><li> В другом случае Creatnx очень расстроится. На следующий день, Creatnx начнет спрашивать $$$1$$$-е зеркало заново. </li></ul><p>Вам нужно посчитать <a href="https://ru.wikipedia.org/wiki/Математическое_ожидание">математическое ожидание</a> количества дней, до того как Creatnx станет счастливым.</p><p>Это число нужно найти по модулю $$$998244353$$$. Формально, пусть $$$M = 998244353$$$. Можно показать, что ответ может быть представлен в виде несократимой дроби $$$\frac{p}{q}$$$, где $$$p$$$ и $$$q$$$ целые числа и $$$q \not \equiv 0 \pmod{M}$$$. Выведите целое число, равное $$$p \cdot q^{-1} \bmod M$$$. Другими словами, выведите такое целое число $$$x$$$, что $$$0 \le x < M$$$ и $$$x \cdot q \equiv p \pmod{M}$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится единственное целое число $$$n$$$ ($$$1\le n\le 2\cdot 10^5$$$) — количество зеркал.</p><p>Во второй строке находится $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \leq p_i \leq 100$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 1 50 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 50 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 112 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, есть единственное зеркало и оно говорит, что Creatnx красивый с вероятностью $$$\frac{1}{2}$$$. Поэтому математическое ожидание количества дней, пока Creatnx не станет счастливым равно $$$2$$$.</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_ddb98c4ce6e7b0f5543b713a16bddcca08be09af"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Красивые зеркала</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Creatnx есть $$$n$$$ зеркал, пронумерованных от $$$1$$$ до $$$n$$$. Каждый день Creatnx спрашивает ровно одно зеркало «Красивый ли я?». $$$i$$$-е зеркало скажет Creatnx, что он красивый с вероятностью $$$\frac{p_i}{100}$$$ для всех $$$1 \le i \le n$$$.</p><p>Creatnx спрашивает зеркала одно за другим, начиная с $$$1$$$-о зеркала. Каждый день, если он спрашивает $$$i$$$-е зеркало, есть две возможности:</p><ul> <li> $$$i$$$-е зеркало скажет Creatnx, что он красивый. В этом случае, если $$$i = n$$$ Creatnx остановится и станет счастливым, иначе он продолжит спрашивать $$$i+1$$$-е зеркало на следующий день; </li><li> В другом случае Creatnx очень расстроится. На следующий день, Creatnx начнет спрашивать $$$1$$$-е зеркало заново. </li></ul><p>Вам нужно посчитать <a href="https://ru.wikipedia.org/wiki/Математическое_ожидание">математическое ожидание</a> количества дней, до того как Creatnx станет счастливым.</p><p>Это число нужно найти по модулю $$$998244353$$$. Формально, пусть $$$M = 998244353$$$. Можно показать, что ответ может быть представлен в виде несократимой дроби $$$\frac{p}{q}$$$, где $$$p$$$ и $$$q$$$ целые числа и $$$q \not \equiv 0 \pmod{M}$$$. Выведите целое число, равное $$$p \cdot q^{-1} \bmod M$$$. Другими словами, выведите такое целое число $$$x$$$, что $$$0 \le x < M$$$ и $$$x \cdot q \equiv p \pmod{M}$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке находится единственное целое число $$$n$$$ ($$$1\le n\le 2\cdot 10^5$$$) — количество зеркал.</p><p>Во второй строке находится $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$ ($$$1 \leq p_i \leq 100$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 1 50 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 10 20 50 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 112 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, есть единственное зеркало и оно говорит, что Creatnx красивый с вероятностью $$$\frac{1}{2}$$$. Поэтому математическое ожидание количества дней, пока Creatnx не станет счастливым равно $$$2$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); 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["\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043c\u0430\u0442. \u043e\u0436\u0438\u0434\u0430\u043d\u0438\u044f, \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u043f", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "\u0442\u0435\u043e\u0440\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439", "*2100"]

1265F

1265

F

ru

F. Красивая скобочная последовательность (простая версия)

<div class="problem-statement"><div class="header"><div class="title">F. Красивая скобочная последовательность (простая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это простая версия этой задачи. Единственное отличие в ограничении на $$$n$$$ — длине входной строки. В этой версии, $$$1 \leq n \leq 2000$$$. Сложная версия этой задачи не предлагается в раунде для второго дивизиона.</span></p><p>Определим правильную скобочную последовательность и ее глубину следующим образом:</p><ul> <li> Пустая строка это правильная скобочная последовательность глубины $$$0$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» это правильная скобочная последовательность глубины $$$d$$$ тогда «<span class="tex-font-style-tt">(s)</span>» это правильная скобочная последовательность глубины $$$d + 1$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» и «<span class="tex-font-style-tt">t</span>» это две правильные скобочные последовательности тогда их конкатенация «<span class="tex-font-style-tt">st</span>» это правильная скобочная последовательность с глубиной равной максимальной из глубин $$$s$$$ и $$$t$$$. </li></ul><p>Для (не обязательно правильной) скобочной последовательности $$$s$$$ мы определяем ее глубину как максимальную глубину любой <span class="tex-font-style-bf">правильной</span> скобочной последовательности, которая может быть получена с помощью удаления некоторых символов из $$$s$$$ (возможно нуля). Например, скобочная последовательность $$$s = $$$«<span class="tex-font-style-tt">())(())</span>» имеет глубину $$$2$$$, потому что при удалении третьего символа мы получим правильную скобочную последовательность «<span class="tex-font-style-tt">()(())</span>» глубины $$$2$$$.</p><p>Дана строка $$$a$$$, состоящая из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Рассмотрим все (не обязательно правильные) скобочные последовательности, получающиеся заменой всех символов '<span class="tex-font-style-tt">?</span>' в строке $$$a$$$ на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'. Посчитайте сумму глубин всех таких скобочных последовательностей. Так как это число может быть очень большим, найдите его по модулю $$$998244353$$$.</p><p><span class="tex-font-style-bf">Взломы</span> в первом дивизионе по этой задачи могут быть сделаны, только если простая и сложная версия этой задачи сданы.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Единственная строка содержит непустую строку, состоящую только из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Длина строки не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> ?? </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> (?(?)) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">((</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">))</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">)(</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">()</span>». Ее глубина $$$1$$$. </li></ul><p>Поэтому, ответ равен $$$1 = 0 + 0 + 0 + 1$$$.</p><p>Во втором тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">(((())</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">()()))</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">((()))</span>». Ее глубина $$$3$$$; </li><li> «<span class="tex-font-style-tt">()(())</span>». Ее глубина $$$2$$$. </li></ul><p>Поэтому, ответ равен $$$9 = 2 + 2 + 3 + 2$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/71916" title="Codeforces Round #604 (div1 & div2)" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9997" resourceName="Codeforces Round #604 (div1 & div2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/71995" title="Codeforces Round #604 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10021" resourceName="Codeforces Round #604 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1265">Задачи</a></li> <li><a href="/contest/1265/submit">Отослать</a></li> <li><a href="/contest/1265/my">Мои посылки</a></li> <li><a href="/contest/1265/status">Статус</a></li> <li><a href="/contest/1265/hacks">Взломы</a></li> <li><a href="/contest/1265/room/1">Комната</a></li> <li><a href="/contest/1265/standings">Положение</a></li> <li><a href="/contest/1265/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_bbf4ff4582bb7879e5724eb6dd131dd0517cab91"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Красивая скобочная последовательность (простая версия)</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-it">Это простая версия этой задачи. Единственное отличие в ограничении на $$$n$$$ — длине входной строки. В этой версии, $$$1 \leq n \leq 2000$$$. Сложная версия этой задачи не предлагается в раунде для второго дивизиона.</span></p><p>Определим правильную скобочную последовательность и ее глубину следующим образом:</p><ul> <li> Пустая строка это правильная скобочная последовательность глубины $$$0$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» это правильная скобочная последовательность глубины $$$d$$$ тогда «<span class="tex-font-style-tt">(s)</span>» это правильная скобочная последовательность глубины $$$d + 1$$$; </li><li> Если «<span class="tex-font-style-tt">s</span>» и «<span class="tex-font-style-tt">t</span>» это две правильные скобочные последовательности тогда их конкатенация «<span class="tex-font-style-tt">st</span>» это правильная скобочная последовательность с глубиной равной максимальной из глубин $$$s$$$ и $$$t$$$. </li></ul><p>Для (не обязательно правильной) скобочной последовательности $$$s$$$ мы определяем ее глубину как максимальную глубину любой <span class="tex-font-style-bf">правильной</span> скобочной последовательности, которая может быть получена с помощью удаления некоторых символов из $$$s$$$ (возможно нуля). Например, скобочная последовательность $$$s = $$$«<span class="tex-font-style-tt">())(())</span>» имеет глубину $$$2$$$, потому что при удалении третьего символа мы получим правильную скобочную последовательность «<span class="tex-font-style-tt">()(())</span>» глубины $$$2$$$.</p><p>Дана строка $$$a$$$, состоящая из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Рассмотрим все (не обязательно правильные) скобочные последовательности, получающиеся заменой всех символов '<span class="tex-font-style-tt">?</span>' в строке $$$a$$$ на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>'. Посчитайте сумму глубин всех таких скобочных последовательностей. Так как это число может быть очень большим, найдите его по модулю $$$998244353$$$.</p><p><span class="tex-font-style-bf">Взломы</span> в первом дивизионе по этой задачи могут быть сделаны, только если простая и сложная версия этой задачи сданы.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Единственная строка содержит непустую строку, состоящую только из символов '<span class="tex-font-style-tt">(</span>', '<span class="tex-font-style-tt">)</span>' и '<span class="tex-font-style-tt">?</span>'. Длина строки не превосходит $$$2000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ по модулю $$$998244353$$$ в единственной строке.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> ?? </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> (?(?)) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">((</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">))</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">)(</span>». Ее глубина $$$0$$$; </li><li> «<span class="tex-font-style-tt">()</span>». Ее глубина $$$1$$$. </li></ul><p>Поэтому, ответ равен $$$1 = 0 + 0 + 0 + 1$$$.</p><p>Во втором тесте, мы можем получить $$$4$$$ скобочные последовательности меняя все символы '<span class="tex-font-style-tt">?</span>' на '<span class="tex-font-style-tt">(</span>' или '<span class="tex-font-style-tt">)</span>':</p><ul> <li> «<span class="tex-font-style-tt">(((())</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">()()))</span>». Ее глубина $$$2$$$; </li><li> «<span class="tex-font-style-tt">((()))</span>». Ее глубина $$$3$$$; </li><li> «<span class="tex-font-style-tt">()(())</span>». Ее глубина $$$2$$$. </li></ul><p>Поэтому, ответ равен $$$9 = 2 + 2 + 3 + 2$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); 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["\u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043c\u0430\u0442. \u043e\u0436\u0438\u0434\u0430\u043d\u0438\u044f, \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0442\u0435\u043e\u0440\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439", "*2600"]

1266A

1266

A

ru

A. Спортивный программист

<div class="problem-statement"><div class="header"><div class="title">A. Спортивный программист</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Боб — спортивный программист. Он хочет стать красным, и для этого ему нужен строгий режим тренировок. Боб решил пойти на ежегодную встречу гроссмейстеров и спросить $$$n$$$ из них, сколько они тренировались, чтобы стать красными.</p><p>«Я потратил $$$x_i$$$ <span class="tex-font-style-bf">часов</span> на решение задач», — ответил $$$i$$$-й гроссмейстер. </p><p>Боб решил потренировать свои навыки математики, поэтому для каждого ответа он записал одно целое число — количество <span class="tex-font-style-bf">минут</span> ($$$60 \cdot x_i$$$), поблагодарил гроссмейстеров и пошел домой. Боб мог писать числа с лидирующими нулями — например, если гроссмейстер сказал, что ему потребовалось потратить $$$2$$$ часа, Боб мог написать $$$000120$$$ вместо $$$120$$$.</p><p>Алиса решила разыграть Боба — она нашла записанные им числа, и для каждого из них сделала следующее (независимо от остальных чисел): </p><ul> <li> либо перемешала все цифры числа, </li><li> либо записала случайное число. </li></ul><p>Таким образом Алиса получила $$$n$$$ чисел, которые мы обозначим как $$$y_1$$$, ..., $$$y_n$$$.</p><p>Для каждого из этих чисел помогите Бобу определить, может ли $$$y_i$$$ быть результатом перемешивания числа (возможно, имеющего лидирующие нули), кратного $$$60$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$1 \leq n \leq 418$$$) — количество гроссмейстеров, которым задал вопрос Боб.</p><p>Затем следуют $$$n$$$ строк, в $$$i$$$-й из которых задано одно целое число $$$y_i$$$, записанное Алисой.</p><p>Каждое из этих чисел состоит из не менее $$$2$$$ и не более $$$100$$$ цифр от '0' до '9'. Числа могут содержать ведущие нули.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ строк.</p><p>Для каждого $$$i$$$ сделайте следующее: если можно переставить цифры $$$y_i$$$ так, что полученное число делится на $$$60$$$, выведите «<span class="tex-font-style-tt">red</span>» (без кавычек). Иначе выведите «<span class="tex-font-style-tt">cyan</span>».</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 603 006 205 228 1053 0000000000000000000000000000000000000000000000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> red red cyan cyan cyan red </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере существует один способ переставить цифры так, что результат делится на $$$60$$$ (мы должны получить $$$360$$$).</p><p>Во втором примере есть два решения. Одно из них — $$$060$$$, а второе — $$$600$$$.</p><p>В третьем примере существует $$$6$$$ способов переставить цифры: $$$025$$$, $$$052$$$, $$$205$$$, $$$250$$$, $$$502$$$, $$$520$$$. Никакой из этих способов не дает число, которое делится на $$$60$$$.</p><p>В четвертом примере существует $$$3$$$ способа переставить цифры: $$$228$$$, $$$282$$$, $$$822$$$.</p><p>В пятом примере ни один из $$$24$$$ способов переставить цифры не дает в результате число, делящееся на $$$60$$$.</p><p>В шестом примере $$$000\dots0$$$ является корректным решением.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_c90baa70f56a0e8c66affcf5529718b3b1598e8f"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Спортивный программист</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Боб — спортивный программист. Он хочет стать красным, и для этого ему нужен строгий режим тренировок. Боб решил пойти на ежегодную встречу гроссмейстеров и спросить $$$n$$$ из них, сколько они тренировались, чтобы стать красными.</p><p>«Я потратил $$$x_i$$$ <span class="tex-font-style-bf">часов</span> на решение задач», — ответил $$$i$$$-й гроссмейстер. </p><p>Боб решил потренировать свои навыки математики, поэтому для каждого ответа он записал одно целое число — количество <span class="tex-font-style-bf">минут</span> ($$$60 \cdot x_i$$$), поблагодарил гроссмейстеров и пошел домой. Боб мог писать числа с лидирующими нулями — например, если гроссмейстер сказал, что ему потребовалось потратить $$$2$$$ часа, Боб мог написать $$$000120$$$ вместо $$$120$$$.</p><p>Алиса решила разыграть Боба — она нашла записанные им числа, и для каждого из них сделала следующее (независимо от остальных чисел): </p><ul> <li> либо перемешала все цифры числа, </li><li> либо записала случайное число. </li></ul><p>Таким образом Алиса получила $$$n$$$ чисел, которые мы обозначим как $$$y_1$$$, ..., $$$y_n$$$.</p><p>Для каждого из этих чисел помогите Бобу определить, может ли $$$y_i$$$ быть результатом перемешивания числа (возможно, имеющего лидирующие нули), кратного $$$60$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$1 \leq n \leq 418$$$) — количество гроссмейстеров, которым задал вопрос Боб.</p><p>Затем следуют $$$n$$$ строк, в $$$i$$$-й из которых задано одно целое число $$$y_i$$$, записанное Алисой.</p><p>Каждое из этих чисел состоит из не менее $$$2$$$ и не более $$$100$$$ цифр от '0' до '9'. Числа могут содержать ведущие нули.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ строк.</p><p>Для каждого $$$i$$$ сделайте следующее: если можно переставить цифры $$$y_i$$$ так, что полученное число делится на $$$60$$$, выведите «<span class="tex-font-style-tt">red</span>» (без кавычек). Иначе выведите «<span class="tex-font-style-tt">cyan</span>».</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 603 006 205 228 1053 0000000000000000000000000000000000000000000000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> red red cyan cyan cyan red </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере существует один способ переставить цифры так, что результат делится на $$$60$$$ (мы должны получить $$$360$$$).</p><p>Во втором примере есть два решения. Одно из них — $$$060$$$, а второе — $$$600$$$.</p><p>В третьем примере существует $$$6$$$ способов переставить цифры: $$$025$$$, $$$052$$$, $$$205$$$, $$$250$$$, $$$502$$$, $$$520$$$. Никакой из этих способов не дает число, которое делится на $$$60$$$.</p><p>В четвертом примере существует $$$3$$$ способа переставить цифры: $$$228$$$, $$$282$$$, $$$822$$$.</p><p>В пятом примере ни один из $$$24$$$ способов переставить цифры не дает в результате число, делящееся на $$$60$$$.</p><p>В шестом примере $$$000\dots0$$$ является корректным решением.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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["\u043a\u0438\u0442\u0430\u0439\u0441\u043a\u0430\u044f \u0442\u0435\u043e\u0440\u0435\u043c\u0430 \u043e\u0431 \u043e\u0441\u0442\u0430\u0442\u043a\u0430\u0445", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "*1000"]

1266B

1266

B

ru

B. Башня из кубиков

<div class="problem-statement"><div class="header"><div class="title">B. Башня из кубиков</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Боб играет со стандартными $$$6$$$-гранными костями (кубиками). Развертка стандартного кубика приведена на рисунке ниже.</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/0065ec3465bffc3d36eefbdb4a5cab1e2598146d.png" style="max-width: 100.0%;max-height: 100.0%;"/></p><p>У Боба есть бесконечное число игральных кубиков, и он хочет построить из них башню, ставя один кубик на другой и выбирая ориентацию каждого нового кубика. После того, как Боб построит башню, он посчитает количество видимых точек на гранях кубиков.</p><p>Например, количество видимых точек на башне, нарисованной ниже, равно $$$29$$$ — число точек на верхней грани верхнего кубика равно $$$1$$$, а с четырех сторон башни видны грани со следующим количеством точек: $$$5$$$ и $$$3$$$ с южной стороны, $$$4$$$ и $$$2$$$ с западной стороны, $$$2$$$ и $$$4$$$ с северной стороны, и $$$3$$$ и $$$5$$$ с восточной стороны.</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/8b7b0bd353a0dc7abd2f410cbb90999b99b2a2a7.png" style="max-width: 100.0%;max-height: 100.0%;"/></p><p>Нижняя грань первого кубика (с единицей) и грани с шестью точками не видны, поэтому они не учитываются в количестве видимых точек.</p><p>У Боба есть $$$t$$$ любимых чисел $$$x_i$$$. Для каждого из чисел $$$x_i$$$ помогите Бобу узнать, можно ли построить башню из кубиков, для которой количество видимых точек равно этому числу.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$t$$$ ($$$1 \leq t \leq 1000$$$) — количество любимых чисел Боба. </p><p>Во второй строке заданы $$$t$$$ целых чисел $$$x_i$$$ ($$$1 \leq x_i \leq 10^{18}$$$) — любимые числа Боба.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого любимого числа Боба выведите «<span class="tex-font-style-tt">YES</span>», если можно построить башню, или «<span class="tex-font-style-tt">NO</span>» в противном случае (без кавычек).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 29 34 19 38 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES YES YES NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый пример разобран в условии.</p><p>Ответ на второй пример можно получить, если перевернуть верхний кубик на башне из условия.</p><p>В третьем примере достаточно единственного кубика, поставленного таким образом, что на верхней грани изображено $$$5$$$ точек.</p><p>В четвертом примере не существует башни с нужным количеством видимых точек.</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_5e0f35e5bbd90bba00704c2a53d028070b1ccef2"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Башня из кубиков</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Боб играет со стандартными $$$6$$$-гранными костями (кубиками). Развертка стандартного кубика приведена на рисунке ниже.</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/0065ec3465bffc3d36eefbdb4a5cab1e2598146d.png" style="max-width: 100.0%;max-height: 100.0%;" /></p><p>У Боба есть бесконечное число игральных кубиков, и он хочет построить из них башню, ставя один кубик на другой и выбирая ориентацию каждого нового кубика. После того, как Боб построит башню, он посчитает количество видимых точек на гранях кубиков.</p><p>Например, количество видимых точек на башне, нарисованной ниже, равно $$$29$$$ — число точек на верхней грани верхнего кубика равно $$$1$$$, а с четырех сторон башни видны грани со следующим количеством точек: $$$5$$$ и $$$3$$$ с южной стороны, $$$4$$$ и $$$2$$$ с западной стороны, $$$2$$$ и $$$4$$$ с северной стороны, и $$$3$$$ и $$$5$$$ с восточной стороны.</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/8b7b0bd353a0dc7abd2f410cbb90999b99b2a2a7.png" style="max-width: 100.0%;max-height: 100.0%;" /></p><p>Нижняя грань первого кубика (с единицей) и грани с шестью точками не видны, поэтому они не учитываются в количестве видимых точек.</p><p>У Боба есть $$$t$$$ любимых чисел $$$x_i$$$. Для каждого из чисел $$$x_i$$$ помогите Бобу узнать, можно ли построить башню из кубиков, для которой количество видимых точек равно этому числу.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$t$$$ ($$$1 \leq t \leq 1000$$$) — количество любимых чисел Боба. </p><p>Во второй строке заданы $$$t$$$ целых чисел $$$x_i$$$ ($$$1 \leq x_i \leq 10^{18}$$$) — любимые числа Боба.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого любимого числа Боба выведите «<span class="tex-font-style-tt">YES</span>», если можно построить башню, или «<span class="tex-font-style-tt">NO</span>» в противном случае (без кавычек).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 29 34 19 38 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES YES YES NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый пример разобран в условии.</p><p>Ответ на второй пример можно получить, если перевернуть верхний кубик на башне из условия.</p><p>В третьем примере достаточно единственного кубика, поставленного таким образом, что на верхней грани изображено $$$5$$$ точек.</p><p>В четвертом примере не существует башни с нужным количеством видимых точек.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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1266C

1266

C

ru

C. Разнообразная матрица

<div class="problem-statement"><div class="header"><div class="title">C. Разнообразная матрица</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть $$$a$$$ — матрица размера $$$r \times c$$$, в каждой ячейке которой записано положительное целое число (эти числа не обязательно различны). Строки матрицы пронумерованы от $$$1$$$ до $$$r$$$, а столбцы — от $$$1$$$ до $$$c$$$. Мы можем построить массив $$$b$$$, состоящий из $$$r + c$$$ целых чисел, следующим образом: для каждого $$$i \in [1, r]$$$ обозначим за $$$b_i$$$ наибольший общий делитель всех чисел в $$$i$$$-й строке, а для каждого $$$j \in [1, c]$$$ обозначим за $$$b_{r+j}$$$ наибольший общий делитель всех чисел в $$$j$$$-м столбце. </p><p>Назовем матрицу <span class="tex-font-style-bf">разнообразной</span>, если все $$$r + c$$$ чисел $$$b_k$$$ ($$$k \in [1, r + c]$$$) попарно различны. </p><p>Назовем <span class="tex-font-style-bf">модулем</span> матрицы максимальное число среди $$$b_k$$$.</p><p>Например, рассмотрим следующую матрицу:</p><center> $$$\begin{pmatrix} 2 & 9 & 7\\ 4 & 144 & 84 \end{pmatrix}$$$ </center><p>Построим массив $$$b$$$:</p><ol> <li> $$$b_1$$$ — наибольший общий делитель $$$2$$$, $$$9$$$ и $$$7$$$, он равен $$$1$$$; </li><li> $$$b_2$$$ — наибольший общий делитель $$$4$$$, $$$144$$$ и $$$84$$$, он равен $$$4$$$; </li><li> $$$b_3$$$ — наибольший общий делитель $$$2$$$ и $$$4$$$, он равен $$$2$$$; </li><li> $$$b_4$$$ — наибольший общий делитель $$$9$$$ и $$$144$$$, он равен $$$9$$$; </li><li> $$$b_5$$$ — наибольший общий делитель $$$7$$$ и $$$84$$$, он равен $$$7$$$. </li></ol><p>Итак, $$$b = [1, 4, 2, 9, 7]$$$. Все значения в этом массиве различны, поэтому матрица является разнообразной. Модулем матрицы является число $$$9$$$.</p><p>Для заданных $$$r$$$ и $$$c$$$ найдите разнообразную матрицу с минимально возможным модулем. Если таких матриц несколько, найдите любую из них. Если решения нет, выведите единственное целое число $$$0$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке заданы два целых числа $$$r$$$ и $$$c$$$ ($$$1 \leq r,c \leq 500$$$) — количество строк и столбцов в требуемой матрице.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если решения нет, выведите одно целое число $$$0$$$.</p><p>Иначе выведите $$$r$$$ строк. В $$$i$$$-й строке выведите $$$c$$$ целых чисел, разделенных пробелами, $$$j$$$-е из которых равно $$$a_{i,j}$$$ — положительному целому числу на пересечении $$$i$$$-й строки и $$$j$$$-го столбца в разнообразной матрице с минимальным модулем.</p><p>Для всех элементов матрицы должно соблюдаться условие $$$1 \leq a_{i,j} \leq 10^9$$$. Можно показать, что если решение существует, существует и решение, удовлетворяющее этим ограничениям (с тем же самым минимально возможным модулем).</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 12 2 9</pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере НОДы в строках равны $$$b_1 = 4$$$ и $$$b_2 = 1$$$, а НОДы в столбцах равны $$$b_3 = 2$$$ и $$$b_4 = 3$$$. Все НОДы различны, а максимальный из них равен $$$4$$$. Так как все НОДы должны быть различны и не могут быть меньше $$$1$$$, не существует разнообразных матриц $$$2 \times 2$$$ с модулем меньше $$$4$$$.</p><p>Во втором примере независимо от значения $$$a_{1,1}$$$ условие $$$b_1 = b_2$$$ будет всегда соблюдаться, поэтому разнообразных матриц не существует.</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_9ec4ec240283ab1bdf1cd7184f41a7b959891b1e"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Разнообразная матрица</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть $$$a$$$ — матрица размера $$$r \times c$$$, в каждой ячейке которой записано положительное целое число (эти числа не обязательно различны). Строки матрицы пронумерованы от $$$1$$$ до $$$r$$$, а столбцы — от $$$1$$$ до $$$c$$$. Мы можем построить массив $$$b$$$, состоящий из $$$r + c$$$ целых чисел, следующим образом: для каждого $$$i \in [1, r]$$$ обозначим за $$$b_i$$$ наибольший общий делитель всех чисел в $$$i$$$-й строке, а для каждого $$$j \in [1, c]$$$ обозначим за $$$b_{r+j}$$$ наибольший общий делитель всех чисел в $$$j$$$-м столбце. </p><p>Назовем матрицу <span class="tex-font-style-bf">разнообразной</span>, если все $$$r + c$$$ чисел $$$b_k$$$ ($$$k \in [1, r + c]$$$) попарно различны. </p><p>Назовем <span class="tex-font-style-bf">модулем</span> матрицы максимальное число среди $$$b_k$$$.</p><p>Например, рассмотрим следующую матрицу:</p><center> $$$\begin{pmatrix} 2 & 9 & 7\\ 4 & 144 & 84 \end{pmatrix}$$$ </center><p>Построим массив $$$b$$$:</p><ol> <li> $$$b_1$$$ — наибольший общий делитель $$$2$$$, $$$9$$$ и $$$7$$$, он равен $$$1$$$; </li><li> $$$b_2$$$ — наибольший общий делитель $$$4$$$, $$$144$$$ и $$$84$$$, он равен $$$4$$$; </li><li> $$$b_3$$$ — наибольший общий делитель $$$2$$$ и $$$4$$$, он равен $$$2$$$; </li><li> $$$b_4$$$ — наибольший общий делитель $$$9$$$ и $$$144$$$, он равен $$$9$$$; </li><li> $$$b_5$$$ — наибольший общий делитель $$$7$$$ и $$$84$$$, он равен $$$7$$$. </li></ol><p>Итак, $$$b = [1, 4, 2, 9, 7]$$$. Все значения в этом массиве различны, поэтому матрица является разнообразной. Модулем матрицы является число $$$9$$$.</p><p>Для заданных $$$r$$$ и $$$c$$$ найдите разнообразную матрицу с минимально возможным модулем. Если таких матриц несколько, найдите любую из них. Если решения нет, выведите единственное целое число $$$0$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке заданы два целых числа $$$r$$$ и $$$c$$$ ($$$1 \leq r,c \leq 500$$$) — количество строк и столбцов в требуемой матрице.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если решения нет, выведите одно целое число $$$0$$$.</p><p>Иначе выведите $$$r$$$ строк. В $$$i$$$-й строке выведите $$$c$$$ целых чисел, разделенных пробелами, $$$j$$$-е из которых равно $$$a_{i,j}$$$ — положительному целому числу на пересечении $$$i$$$-й строки и $$$j$$$-го столбца в разнообразной матрице с минимальным модулем.</p><p>Для всех элементов матрицы должно соблюдаться условие $$$1 \leq a_{i,j} \leq 10^9$$$. Можно показать, что если решение существует, существует и решение, удовлетворяющее этим ограничениям (с тем же самым минимально возможным модулем).</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 12 2 9</pre></div><div class="input"><div class="title">Входные данные</div><pre> 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере НОДы в строках равны $$$b_1 = 4$$$ и $$$b_2 = 1$$$, а НОДы в столбцах равны $$$b_3 = 2$$$ и $$$b_4 = 3$$$. Все НОДы различны, а максимальный из них равен $$$4$$$. Так как все НОДы должны быть различны и не могут быть меньше $$$1$$$, не существует разнообразных матриц $$$2 \times 2$$$ с модулем меньше $$$4$$$.</p><p>Во втором примере независимо от значения $$$a_{1,1}$$$ условие $$$b_1 = b_2$$$ будет всегда соблюдаться, поэтому разнообразных матриц не существует.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u0442\u0435\u043e\u0440\u0438\u044f \u0447\u0438\u0441\u0435\u043b", "*1400"]

1266D

1266

D

ru

D. Уменьшаем долги

<div class="problem-statement"><div class="header"><div class="title">D. Уменьшаем долги</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Рассмотрим компанию из $$$n$$$ людей, пронумерованных от $$$1$$$ до $$$n$$$. Они используют бурли, чтобы платить за товары и услуги. Иногда человеку не хватает денег на какую-либо покупку, тогда он занимает деньги у другого человека с намерением потом отдать их с процентами. Мы обозначим за $$$d(a,b)$$$ сумму, которую $$$a$$$ должен отдать $$$b$$$, или $$$0$$$, если долга нет.</p><p>Иногда система долгов может усложняться — например, в ситуации, когда один человек дал на время денег другому, но первому самому не хватает денег на покупку, а второй еще не отдал долг. Тогда первому человеку придется занимать у кого-то ещё. </p><p>Если процесс одалживания денег длится достаточно долго, система долгов может стать очень сложной и потребовать упрощения. Упрощать систему можно при помощи двух операций:</p><ol> <li> Пусть $$$d(a,b) > 0$$$ и $$$d(c,d) > 0$$$, при этом $$$a \neq c$$$ или $$$b \neq d$$$. Можно уменьшить $$$d(a,b)$$$ и $$$d(c,d)$$$ на $$$z$$$ и при этом увеличить $$$d(c,b)$$$ и $$$d(a,d)$$$ на $$$z$$$, если $$$0 < z \leq \min(d(a,b),d(c,d))$$$. </li><li> Пусть $$$d(a,a) > 0$$$. Можно уменьшить $$$d(a,a)$$$ до $$$0$$$. </li></ol><p>Суммарный долг определяется следующей величиной:</p><p>$$$$$$\Sigma_d = \sum_{a,b} d(a,b)$$$$$$</p><p>Вы можете использовать ранее описанные операции в любом порядке. Ваша цель — минимизировать суммарный долг. Обратите внимание, что не обязательно минимизировать <span class="tex-font-style-bf">количество</span> ненулевых долгов, только <span class="tex-font-style-bf">суммарный долг</span> должен стать как можно меньше.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке заданы два целых числа $$$n$$$ ($$$1 \leq n \leq 10^5$$$) и $$$m$$$ ($$$0 \leq m \leq 3\cdot 10^5$$$) — количество людей и долгов, соответственно.</p><p>Далее следуют $$$m$$$ строк, каждая из которых содержит три целых числа $$$u_i$$$, $$$v_i$$$ ($$$1 \leq u_i, v_i \leq n, u_i \neq v_i$$$), $$$d_i$$$ ($$$1 \leq d_i \leq 10^9$$$), обозначающих, что человек $$$u_i$$$ должен $$$d_i$$$ бурлей человеку $$$v_i$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите число $$$m'$$$ ($$$0 \leq m' \leq 3\cdot 10^5$$$) — количество долгов после уменьшения системы долгов. Можно показать, что всегда существует способ упростить систему до минимального суммарного долга с соблюдением этого условия.</p><p>Далее выведите $$$m'$$$ строк, $$$i$$$-я из которых содержит три целых числа $$$u_i, v_i, d_i$$$, обозначающих, что человек $$$u_i$$$ должен отдать человеку $$$v_i$$$ ровно $$$d_i$$$ бурлей. На эти числа накладываются следующие ограничения: $$$1 \leq u_i, v_i \leq n$$$, $$$u_i \neq v_i$$$ и $$$0 < d_i \leq 10^{18}$$$.</p><p>Для каждой пары $$$i \neq j$$$ должно соблюдаться условие $$$u_i \neq u_j$$$ или условие $$$v_i \neq v_j$$$. Иными словами, каждая пара людей должна встречаться в выходных данных только один раз.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre>3 2<br/>1 2 10<br/>2 3 5<br/></pre></div><div class="output"><div class="title">Выходные данные</div><pre>2<br/>1 2 5<br/>1 3 5<br/></pre></div><div class="input"><div class="title">Входные данные</div><pre>3 3<br/>1 2 10<br/>2 3 15<br/>3 1 10<br/></pre></div><div class="output"><div class="title">Выходные данные</div><pre>1<br/>2 3 5<br/></pre></div><div class="input"><div class="title">Входные данные</div><pre>4 2<br/>1 2 12<br/>3 4 8<br/></pre></div><div class="output"><div class="title">Выходные данные</div><pre>2<br/>1 2 12<br/>3 4 8<br/></pre></div><div class="input"><div class="title">Входные данные</div><pre>3 4<br/>2 3 1<br/>2 3 2<br/>2 3 4<br/>2 3 8<br/></pre></div><div class="output"><div class="title">Выходные данные</div><pre>1<br/>2 3 15<br/></pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере одна из оптимальных последовательностей операций — следующая:</p><ol> <li> Проведём операцию первого типа с $$$a = 1$$$, $$$b = 2$$$, $$$c = 2$$$, $$$d = 3$$$ и $$$z = 5$$$. В результате система долгов становится следующей: $$$d(1, 2) = 5$$$, $$$d(2, 2) = 5$$$, $$$d(1, 3) = 5$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 2$$$. В результате система долгов становится следующей: $$$d(1, 2) = 5$$$, $$$d(1, 3) = 5$$$, все остальные долги равны $$$0$$$. </li></ol><p>Во втором примере одна из оптимальных последовательностей операций — следующая:</p><ol> <li> Проведём операцию первого типа с $$$a = 1$$$, $$$b = 2$$$, $$$c = 3$$$, $$$d = 1$$$ и $$$z = 10$$$. В результате система долгов становится следующей: $$$d(3, 2) = 10$$$, $$$d(2, 3) = 15$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> проведём операцию первого типа с $$$a = 2$$$, $$$b = 3$$$, $$$c = 3$$$, $$$d = 2$$$ и $$$z = 10$$$. В результате система долгов становится следующей: $$$d(2, 2) = 10$$$, $$$d(3, 3) = 10$$$, $$$d(2, 3) = 5$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 2$$$. В результате система долгов становится следующей: $$$d(3, 3) = 10$$$, $$$d(2, 3) = 5$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 3$$$. В результате система долгов становится следующей: $$$d(2, 3) = 5$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 1$$$. В результате система долгов становится следующей: $$$d(2, 3) = 5$$$, все остальные долги равны $$$0$$$. </li></ol></div></div>

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Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1266/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *2000 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='6eecc67dbe650651b84f5ab67b4caa5a'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="497571"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='6eecc67dbe650651b84f5ab67b4caa5a'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="497571"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_36a0bd913a7ca27212742fe98cc5d81345d5b52f"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Уменьшаем долги</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Рассмотрим компанию из $$$n$$$ людей, пронумерованных от $$$1$$$ до $$$n$$$. Они используют бурли, чтобы платить за товары и услуги. Иногда человеку не хватает денег на какую-либо покупку, тогда он занимает деньги у другого человека с намерением потом отдать их с процентами. Мы обозначим за $$$d(a,b)$$$ сумму, которую $$$a$$$ должен отдать $$$b$$$, или $$$0$$$, если долга нет.</p><p>Иногда система долгов может усложняться — например, в ситуации, когда один человек дал на время денег другому, но первому самому не хватает денег на покупку, а второй еще не отдал долг. Тогда первому человеку придется занимать у кого-то ещё. </p><p>Если процесс одалживания денег длится достаточно долго, система долгов может стать очень сложной и потребовать упрощения. Упрощать систему можно при помощи двух операций:</p><ol> <li> Пусть $$$d(a,b) > 0$$$ и $$$d(c,d) > 0$$$, при этом $$$a \neq c$$$ или $$$b \neq d$$$. Можно уменьшить $$$d(a,b)$$$ и $$$d(c,d)$$$ на $$$z$$$ и при этом увеличить $$$d(c,b)$$$ и $$$d(a,d)$$$ на $$$z$$$, если $$$0 < z \leq \min(d(a,b),d(c,d))$$$. </li><li> Пусть $$$d(a,a) > 0$$$. Можно уменьшить $$$d(a,a)$$$ до $$$0$$$. </li></ol><p>Суммарный долг определяется следующей величиной:</p><p>$$$$$$\Sigma_d = \sum_{a,b} d(a,b)$$$$$$</p><p>Вы можете использовать ранее описанные операции в любом порядке. Ваша цель — минимизировать суммарный долг. Обратите внимание, что не обязательно минимизировать <span class="tex-font-style-bf">количество</span> ненулевых долгов, только <span class="tex-font-style-bf">суммарный долг</span> должен стать как можно меньше.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке заданы два целых числа $$$n$$$ ($$$1 \leq n \leq 10^5$$$) и $$$m$$$ ($$$0 \leq m \leq 3\cdot 10^5$$$) — количество людей и долгов, соответственно.</p><p>Далее следуют $$$m$$$ строк, каждая из которых содержит три целых числа $$$u_i$$$, $$$v_i$$$ ($$$1 \leq u_i, v_i \leq n, u_i \neq v_i$$$), $$$d_i$$$ ($$$1 \leq d_i \leq 10^9$$$), обозначающих, что человек $$$u_i$$$ должен $$$d_i$$$ бурлей человеку $$$v_i$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите число $$$m'$$$ ($$$0 \leq m' \leq 3\cdot 10^5$$$) — количество долгов после уменьшения системы долгов. Можно показать, что всегда существует способ упростить систему до минимального суммарного долга с соблюдением этого условия.</p><p>Далее выведите $$$m'$$$ строк, $$$i$$$-я из которых содержит три целых числа $$$u_i, v_i, d_i$$$, обозначающих, что человек $$$u_i$$$ должен отдать человеку $$$v_i$$$ ровно $$$d_i$$$ бурлей. На эти числа накладываются следующие ограничения: $$$1 \leq u_i, v_i \leq n$$$, $$$u_i \neq v_i$$$ и $$$0 < d_i \leq 10^{18}$$$.</p><p>Для каждой пары $$$i \neq j$$$ должно соблюдаться условие $$$u_i \neq u_j$$$ или условие $$$v_i \neq v_j$$$. Иными словами, каждая пара людей должна встречаться в выходных данных только один раз.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre>3 2<br />1 2 10<br />2 3 5<br /></pre></div><div class="output"><div class="title">Выходные данные</div><pre>2<br />1 2 5<br />1 3 5<br /></pre></div><div class="input"><div class="title">Входные данные</div><pre>3 3<br />1 2 10<br />2 3 15<br />3 1 10<br /></pre></div><div class="output"><div class="title">Выходные данные</div><pre>1<br />2 3 5<br /></pre></div><div class="input"><div class="title">Входные данные</div><pre>4 2<br />1 2 12<br />3 4 8<br /></pre></div><div class="output"><div class="title">Выходные данные</div><pre>2<br />1 2 12<br />3 4 8<br /></pre></div><div class="input"><div class="title">Входные данные</div><pre>3 4<br />2 3 1<br />2 3 2<br />2 3 4<br />2 3 8<br /></pre></div><div class="output"><div class="title">Выходные данные</div><pre>1<br />2 3 15<br /></pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере одна из оптимальных последовательностей операций — следующая:</p><ol> <li> Проведём операцию первого типа с $$$a = 1$$$, $$$b = 2$$$, $$$c = 2$$$, $$$d = 3$$$ и $$$z = 5$$$. В результате система долгов становится следующей: $$$d(1, 2) = 5$$$, $$$d(2, 2) = 5$$$, $$$d(1, 3) = 5$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 2$$$. В результате система долгов становится следующей: $$$d(1, 2) = 5$$$, $$$d(1, 3) = 5$$$, все остальные долги равны $$$0$$$. </li></ol><p>Во втором примере одна из оптимальных последовательностей операций — следующая:</p><ol> <li> Проведём операцию первого типа с $$$a = 1$$$, $$$b = 2$$$, $$$c = 3$$$, $$$d = 1$$$ и $$$z = 10$$$. В результате система долгов становится следующей: $$$d(3, 2) = 10$$$, $$$d(2, 3) = 15$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> проведём операцию первого типа с $$$a = 2$$$, $$$b = 3$$$, $$$c = 3$$$, $$$d = 2$$$ и $$$z = 10$$$. В результате система долгов становится следующей: $$$d(2, 2) = 10$$$, $$$d(3, 3) = 10$$$, $$$d(2, 3) = 5$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 2$$$. В результате система долгов становится следующей: $$$d(3, 3) = 10$$$, $$$d(2, 3) = 5$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 3$$$. В результате система долгов становится следующей: $$$d(2, 3) = 5$$$, $$$d(1, 1) = 10$$$, все остальные долги равны $$$0$$$; </li><li> Проведём операцию второго типа с $$$a = 1$$$. В результате система долгов становится следующей: $$$d(2, 3) = 5$$$, все остальные долги равны $$$0$$$. </li></ol></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); 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["\u0413\u0440\u0430\u0444\u044b", "\u0414\u0432\u0430 \u0443\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f", "\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0433\u0440\u0430\u0444\u044b", "\u0434\u0432\u0430 \u0443\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f", "\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*2000"]

1266E

1266

E

ru

E. Космический Солитер

<div class="problem-statement"><div class="header"><div class="title">E. Космический Солитер</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Боб играет в игру «Космический Солитер». Цель этой игры — построить космический корабль, но для ее достижения требуется сначала собрать достаточное количество ресурсов $$$n$$$ типов, пронумерованных от $$$1$$$ до $$$n$$$. Боб должен собрать не менее $$$a_i$$$ единиц $$$i$$$-го ресурса. Для удобства назовем $$$a_i$$$ <span class="tex-font-style-bf">целью для ресурса $$$i$$$</span>.</p><p>Для производства одной единицы любого ресурса нужно потратить $$$1$$$ ход (и каждый ход можно производить только один ресурс). Однако для ускорения игры в ней введена система достижений. Каждое достижение описывается тройкой $$$(s_j, t_j, u_j)$$$ и обозначает следующее: как только Боб соберет $$$t_j$$$ единиц ресурса $$$s_j$$$, он сразу же получит дополнительную единицу ресурса $$$u_j$$$, не тратя ход на ее производство. Возможно, награда за достижение позволит активировать другое достижение — таким образом за один ход можно набрать большое количество разных ресурсов.</p><p>Система достижений устроена таким образом, что не существует двух достижений, у которых одновременно одинаковые $$$s_j$$$ <span class="tex-font-style-bf">и</span> $$$t_j$$$. То есть за достижение $$$t_j$$$ единиц ресурса $$$s_j$$$ нельзя получить в награду более одного ресурса.</p><p><span class="tex-font-style-bf">Ни один бонусный ресурс не дается за достижение $$$0$$$ единиц какого-либо ресурса. Также не существует достижений, для которых надо собрать $$$a_i$$$ или более соответствующего ресурса. Формально, $$$0 < t_j < a_{s_j}$$$.</span></p><p>Могут существовать достижения, для которых тип требуемого ресурса совпадает с типом бонусного ресурса, то есть $$$s_j = u_j$$$.</p><p>Изначально в игре нет достижений. Вам нужно обработать $$$q$$$ обновлений игры, каждое из которых добавляет, удаляет или меняет какое-то достижение. После каждого обновления посчитайте минимальное количество ходов, требуемое для завершения игры (то есть для того, чтобы собрать не менее $$$a_i$$$ единиц $$$i$$$-го ресурса для всех $$$i \in [1, n]$$$).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$1 \leq n \leq 2 \cdot 10^5$$$) — количество типов ресурсов.</p><p>Во второй строке заданы $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \leq a_i \leq 10^9$$$), $$$i$$$-е из которых — цель для $$$i$$$-го ресурса.</p><p>В третьей строке задано одно целое число $$$q$$$ ($$$1 \leq q \leq 10^5$$$) — количество обновлений в системе достижений.</p><p>Затем следуют $$$q$$$ строк, $$$j$$$-я из которых содержит три целых числа $$$s_j$$$, $$$t_j$$$, $$$u_j$$$ ($$$1 \leq s_j \leq n$$$, $$$1 \leq t_j < a_{s_j}$$$, $$$0 \leq u_j \leq n$$$). Для каждой тройки проведите следующие действия: </p><ul> <li> Сначала, если уже существует достижение, требующее набрать $$$t_j$$$ единиц ресурса $$$s_j$$$, удалите его. </li><li> Если $$$u_j = 0$$$, не добавляйте никаких достижений. </li><li> Если $$$u_j \neq 0$$$, добавьте новое достижение: «Если вы соберете $$$t_j$$$ единиц ресурса $$$s_j$$$, вы получите одну единицу ресурса $$$u_j$$$». </li><li> Выведите минимальное количество ходов, требуемое для завершения игры. </li></ul></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$q$$$ строк, в $$$i$$$-й из которых должно быть одно целое число — ответ на задачу после $$$i$$$-го обновления.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 3 5 2 1 1 2 2 1 1 1 1 2 1 2 2 2 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 3 2 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>После первого обновления оптимальная стратегия — следующая: произвести ресурс $$$2$$$ и получить бесплатно ресурс $$$1$$$. Затем произвести ресурс $$$2$$$ дважды и $$$1$$$ один раз, и мы завершим игру за четыре хода.</p><p>После второго обновления оптимальная стратегия состоит в том, чтобы произвести ресурс $$$2$$$ три раза — в первые два хода мы дополнительно получим по единице ресурса $$$1$$$.</p><p>После третьего обновления оптимальная стратегия — следующая: </p><ul> <li> Сначала произвести единицу ресурса $$$2$$$ и получить бесплатную единицу $$$1$$$. После этого мы получим еще одну бесплатную единицу $$$1$$$. Количество ресурсов: $$$[2, 1]$$$. </li><li> После этого произвести единицу ресурса $$$2$$$ и получить еще одну бесплатную единицу $$$1$$$. </li><li> Опять произвести единицу ресурса $$$2$$$. </li></ul><p>Количество ресурсов в конце игры: $$$[3, 3]$$$. Для достижения цели нам потребовалось три хода. Обратите внимание, что у нас есть лишняя единица ресурса $$$1$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_06cf71823015a701b520ef3f67d59b5ee65752db"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Космический Солитер</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Боб играет в игру «Космический Солитер». Цель этой игры — построить космический корабль, но для ее достижения требуется сначала собрать достаточное количество ресурсов $$$n$$$ типов, пронумерованных от $$$1$$$ до $$$n$$$. Боб должен собрать не менее $$$a_i$$$ единиц $$$i$$$-го ресурса. Для удобства назовем $$$a_i$$$ <span class="tex-font-style-bf">целью для ресурса $$$i$$$</span>.</p><p>Для производства одной единицы любого ресурса нужно потратить $$$1$$$ ход (и каждый ход можно производить только один ресурс). Однако для ускорения игры в ней введена система достижений. Каждое достижение описывается тройкой $$$(s_j, t_j, u_j)$$$ и обозначает следующее: как только Боб соберет $$$t_j$$$ единиц ресурса $$$s_j$$$, он сразу же получит дополнительную единицу ресурса $$$u_j$$$, не тратя ход на ее производство. Возможно, награда за достижение позволит активировать другое достижение — таким образом за один ход можно набрать большое количество разных ресурсов.</p><p>Система достижений устроена таким образом, что не существует двух достижений, у которых одновременно одинаковые $$$s_j$$$ <span class="tex-font-style-bf">и</span> $$$t_j$$$. То есть за достижение $$$t_j$$$ единиц ресурса $$$s_j$$$ нельзя получить в награду более одного ресурса.</p><p><span class="tex-font-style-bf">Ни один бонусный ресурс не дается за достижение $$$0$$$ единиц какого-либо ресурса. Также не существует достижений, для которых надо собрать $$$a_i$$$ или более соответствующего ресурса. Формально, $$$0 < t_j < a_{s_j}$$$.</span></p><p>Могут существовать достижения, для которых тип требуемого ресурса совпадает с типом бонусного ресурса, то есть $$$s_j = u_j$$$.</p><p>Изначально в игре нет достижений. Вам нужно обработать $$$q$$$ обновлений игры, каждое из которых добавляет, удаляет или меняет какое-то достижение. После каждого обновления посчитайте минимальное количество ходов, требуемое для завершения игры (то есть для того, чтобы собрать не менее $$$a_i$$$ единиц $$$i$$$-го ресурса для всех $$$i \in [1, n]$$$).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$1 \leq n \leq 2 \cdot 10^5$$$) — количество типов ресурсов.</p><p>Во второй строке заданы $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \leq a_i \leq 10^9$$$), $$$i$$$-е из которых — цель для $$$i$$$-го ресурса.</p><p>В третьей строке задано одно целое число $$$q$$$ ($$$1 \leq q \leq 10^5$$$) — количество обновлений в системе достижений.</p><p>Затем следуют $$$q$$$ строк, $$$j$$$-я из которых содержит три целых числа $$$s_j$$$, $$$t_j$$$, $$$u_j$$$ ($$$1 \leq s_j \leq n$$$, $$$1 \leq t_j < a_{s_j}$$$, $$$0 \leq u_j \leq n$$$). Для каждой тройки проведите следующие действия: </p><ul> <li> Сначала, если уже существует достижение, требующее набрать $$$t_j$$$ единиц ресурса $$$s_j$$$, удалите его. </li><li> Если $$$u_j = 0$$$, не добавляйте никаких достижений. </li><li> Если $$$u_j \neq 0$$$, добавьте новое достижение: «Если вы соберете $$$t_j$$$ единиц ресурса $$$s_j$$$, вы получите одну единицу ресурса $$$u_j$$$». </li><li> Выведите минимальное количество ходов, требуемое для завершения игры. </li></ul></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$q$$$ строк, в $$$i$$$-й из которых должно быть одно целое число — ответ на задачу после $$$i$$$-го обновления.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 3 5 2 1 1 2 2 1 1 1 1 2 1 2 2 2 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 3 2 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>После первого обновления оптимальная стратегия — следующая: произвести ресурс $$$2$$$ и получить бесплатно ресурс $$$1$$$. Затем произвести ресурс $$$2$$$ дважды и $$$1$$$ один раз, и мы завершим игру за четыре хода.</p><p>После второго обновления оптимальная стратегия состоит в том, чтобы произвести ресурс $$$2$$$ три раза — в первые два хода мы дополнительно получим по единице ресурса $$$1$$$.</p><p>После третьего обновления оптимальная стратегия — следующая: </p><ul> <li> Сначала произвести единицу ресурса $$$2$$$ и получить бесплатную единицу $$$1$$$. После этого мы получим еще одну бесплатную единицу $$$1$$$. Количество ресурсов: $$$[2, 1]$$$. </li><li> После этого произвести единицу ресурса $$$2$$$ и получить еще одну бесплатную единицу $$$1$$$. </li><li> Опять произвести единицу ресурса $$$2$$$. </li></ul><p>Количество ресурсов в конце игры: $$$[3, 3]$$$. Для достижения цели нам потребовалось три хода. 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*2100"]

1266F

1266

F

ru

F. Почти одинаковое расстояние

<div class="problem-statement"><div class="header"><div class="title">F. Почти одинаковое расстояние</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>5 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть $$$G$$$ — простой граф, а $$$W$$$ — непустое подмножество множества вершин этого графа. Назовем $$$W$$$ <span class="tex-font-style-bf">почти-$$$k$$$-единым</span>, если для каждой пары различных вершин $$$u,v \in W$$$ расстояние между $$$u$$$ и $$$v$$$ равно либо $$$k$$$, либо $$$k+1$$$.</p><p>Вам задано дерево из $$$n$$$ вершин. Для каждого $$$i$$$ от $$$1$$$ до $$$n$$$ найдите максимальный размер почти-$$$i$$$-единого множества вершин.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$2 \leq n \leq 5 \cdot 10^5$$$) — количество вершин в дереве.</p><p>Затем следуют $$$n-1$$$ строк, $$$i$$$-я из которых содержит два целых числа $$$u_i$$$, $$$v_i$$$ ($$$1 \leq u_i, v_i \leq n$$$), обозначающих, что существует ребро, соединяющее вершины $$$u_i$$$ и $$$v_i$$$. </p><p>Гарантируется, что заданный граф — дерево. </p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одну строку, содержащую $$$n$$$ целых чисел $$$a_i$$$, где $$$a_i$$$ — максимальный размер почти-$$$i$$$-единого множества.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 1 3 1 4 4 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 2 1 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 1 2 1 3 1 4 4 5 4 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 4 2 1 1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Рассмотрим первый пример. </p><ul> <li> Единственное максимальное почти-$$$1$$$-единое множество вершин — это $$$\{1, 2, 3, 4\}$$$. </li><li> Одно из максимальных почти-$$$2$$$-единых множеств — $$$\{2, 3, 5\}$$$, также таким множеством является $$$\{2, 3, 4\}$$$. </li><li> Максимальное почти-$$$3$$$-единое множество — любые две вершины на расстоянии $$$3$$$. </li><li> Почти-$$$k$$$-единое множество может состоять из единственной (любой) вершины для любого $$$k \geq 1$$$. </li></ul><p>Во втором примере существует почти-$$$2$$$-единое множество размера $$$4$$$: $$$\{2, 3, 5, 6\}$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_bc539f0b5a90ae435a3c284a958e59e4854a9944"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Почти одинаковое расстояние</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>5 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть $$$G$$$ — простой граф, а $$$W$$$ — непустое подмножество множества вершин этого графа. Назовем $$$W$$$ <span class="tex-font-style-bf">почти-$$$k$$$-единым</span>, если для каждой пары различных вершин $$$u,v \in W$$$ расстояние между $$$u$$$ и $$$v$$$ равно либо $$$k$$$, либо $$$k+1$$$.</p><p>Вам задано дерево из $$$n$$$ вершин. Для каждого $$$i$$$ от $$$1$$$ до $$$n$$$ найдите максимальный размер почти-$$$i$$$-единого множества вершин.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$2 \leq n \leq 5 \cdot 10^5$$$) — количество вершин в дереве.</p><p>Затем следуют $$$n-1$$$ строк, $$$i$$$-я из которых содержит два целых числа $$$u_i$$$, $$$v_i$$$ ($$$1 \leq u_i, v_i \leq n$$$), обозначающих, что существует ребро, соединяющее вершины $$$u_i$$$ и $$$v_i$$$. </p><p>Гарантируется, что заданный граф — дерево. </p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одну строку, содержащую $$$n$$$ целых чисел $$$a_i$$$, где $$$a_i$$$ — максимальный размер почти-$$$i$$$-единого множества.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 1 3 1 4 4 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 3 2 1 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 1 2 1 3 1 4 4 5 4 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 4 2 1 1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Рассмотрим первый пример. </p><ul> <li> Единственное максимальное почти-$$$1$$$-единое множество вершин — это $$$\{1, 2, 3, 4\}$$$. </li><li> Одно из максимальных почти-$$$2$$$-единых множеств — $$$\{2, 3, 5\}$$$, также таким множеством является $$$\{2, 3, 4\}$$$. </li><li> Максимальное почти-$$$3$$$-единое множество — любые две вершины на расстоянии $$$3$$$. </li><li> Почти-$$$k$$$-единое множество может состоять из единственной (любой) вершины для любого $$$k \geq 1$$$. </li></ul><p>Во втором примере существует почти-$$$2$$$-единое множество размера $$$4$$$: $$$\{2, 3, 5, 6\}$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); 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["\u0413\u0440\u0430\u0444\u044b", "\u041f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0433\u0440\u0430\u0444\u044b", "\u043f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u043e\u0435", "*2900"]

1266G

1266

G

ru

G. Конкатенация перестановок

<div class="problem-statement"><div class="header"><div class="title">G. Конкатенация перестановок</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть $$$n$$$ — произвольное целое число. Рассмотрим все перестановки чисел от $$$1$$$ до $$$n$$$ в лексикографическом порядке и конкатенируем их в одну большую последовательность $$$P$$$. Например, если $$$n = 3$$$, то $$$P = [1, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 2, 1]$$$. Длина такой последовательности равна $$$n \cdot n!$$$.</p><p>Пусть $$$1 \leq i \leq j \leq n \cdot n!$$$ — пара индексов. Последовательность $$$(P_i, P_{i+1}, \dots, P_{j-1}, P_j)$$$ называется <span class="tex-font-style-bf">подмассивом</span> $$$P$$$. </p><p>Вам дано число $$$n$$$. Найдите количество различных подмассивов $$$P$$$. Так как это число может быть большим, выведите его по модулю $$$998244353$$$ (это простое число). </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$1 \leq n \leq 10^6$$$), описанное в условии.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество различных подмассивов, взятое по модулю $$$998244353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 8 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 19210869 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере $$$P = [1, 2, 2, 1]$$$. У нее восемь различных подмассивов: $$$[1]$$$, $$$[2]$$$, $$$[1, 2]$$$, $$$[2, 1]$$$, $$$[2, 2]$$$, $$$[1, 2, 2]$$$, $$$[2, 2, 1]$$$ и $$$[1, 2, 2, 1]$$$. </p></div></div>

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params[key] = value; } }); $.post(dataPageUrl, params, function (result) { if (result["success"] !== "true") { Codeforces.showMessage("Не удалось сохранить состояние блока."); } }, "json"); return false; }); }) </script> </div> <div class="roundbox sidebox borderTopRound " style=""> <div class="caption titled">→ Теги задачи <div class="top-links"> </div> </div> <div style="padding: 0.5em;"> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Суффиксные массивы, деревья и автоматы"> строковые суфф. структуры </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *3300 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='e9f7f672bb9991a1878b028181c2cc86'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="497574"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='e9f7f672bb9991a1878b028181c2cc86'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="497574"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="G" data-uuid="ps_5e6e1af203e274e7587014563f87eb63a4d08792"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">G. Конкатенация перестановок</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть $$$n$$$ — произвольное целое число. Рассмотрим все перестановки чисел от $$$1$$$ до $$$n$$$ в лексикографическом порядке и конкатенируем их в одну большую последовательность $$$P$$$. Например, если $$$n = 3$$$, то $$$P = [1, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 2, 1]$$$. Длина такой последовательности равна $$$n \cdot n!$$$.</p><p>Пусть $$$1 \leq i \leq j \leq n \cdot n!$$$ — пара индексов. Последовательность $$$(P_i, P_{i+1}, \dots, P_{j-1}, P_j)$$$ называется <span class="tex-font-style-bf">подмассивом</span> $$$P$$$. </p><p>Вам дано число $$$n$$$. Найдите количество различных подмассивов $$$P$$$. Так как это число может быть большим, выведите его по модулю $$$998244353$$$ (это простое число). </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$1 \leq n \leq 10^6$$$), описанное в условии.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество различных подмассивов, взятое по модулю $$$998244353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 8 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 19210869 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере $$$P = [1, 2, 2, 1]$$$. У нее восемь различных подмассивов: $$$[1]$$$, $$$[2]$$$, $$$[1, 2]$$$, $$$[2, 1]$$$, $$$[2, 2]$$$, $$$[1, 2, 2]$$$, $$$[2, 2, 1]$$$ и $$$[1, 2, 2, 1]$$$. </p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=G]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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["\u0441\u0442\u0440\u043e\u043a\u043e\u0432\u044b\u0435 \u0441\u0443\u0444\u0444. \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b", "*3300"]

1266H

1266

H

ru

H. Красно-синий граф

<div class="problem-statement"><div class="header"><div class="title">H. Красно-синий граф</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>4 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Дан ориентированный граф из $$$n$$$ вершин, пронумерованных от $$$1$$$ до $$$n$$$, в котором из каждой вершины (кроме $$$n$$$) исходит две дуги, красная и синяя. В любой момент времени ровно одна исходящая дуга является <span class="tex-font-style-it">активной</span> для каждой вершины. Изначально все синие дуги активны, а в вершине $$$1$$$ находится фишка. В начале каждой секунды у вершины, в которой стоит фишка, меняется активная дуга. Затем фишка перемещается по активной дуге. Когда фишка достигает вершины $$$n$$$, она останавливается. Гарантируется, что вершина $$$n$$$ достижима по дугам из всех остальных вершин графа.</p><p>Вам задаются $$$q$$$ запросов, в каждом из которых описывается состояние графа — пара $$$(v, s)$$$ следующего вида: </p><ul> <li> $$$v$$$ — вершина, в которой находится фишка; </li><li> $$$s$$$ — строка из $$$n - 1$$$ символов. $$$i$$$-й символ обозначает, какая дуга, ведущая из $$$i$$$, активна (красная, если символ равен '<span class="tex-font-style-tt">R</span>', или синяя, если символ — '<span class="tex-font-style-tt">B</span>'). </li></ul><p>Для каждого запроса определите, достижимо ли заданное состояние из стартового, и если да — когда такое состояние графа появится в первый раз. Обратите внимание, что заданные две операции неразрывны между собой — состояние не считается достигнутым, если оно появляется после изменения активной дуги, но до того, как фишку переместили по дуге.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$2 \leq n \leq 58$$$) — количество вершин.</p><p>Далее следуют $$$n-1$$$ строк, $$$i$$$-я из которых содержит два целых числа $$$b_i$$$ и $$$r_i$$$ ($$$1 \leq b_i, r_i \leq n$$$), обозначающих синюю дугу $$$(i, b_i)$$$ и красную дугу $$$(i, r_i)$$$, соответственно. Гарантируется, что вершина $$$n$$$ достижима из всех остальных.</p><p>Следующая строка содержит одно целое число $$$q$$$ ($$$1 \leq q \leq 5000$$$) — количество запросов.</p><p>Затем следуют $$$q$$$ строк с запросами. $$$j$$$-я из них содержит целое число $$$v$$$ ($$$1 \leq v < n$$$) и строку $$$s$$$ из $$$n-1$$$ символов, каждый из которых либо '<span class="tex-font-style-tt">R</span>', либо '<span class="tex-font-style-tt">B</span>'. $$$i$$$-й из этих символов равен '<span class="tex-font-style-tt">R</span>', если красная дуга, ведущая из вершины $$$i$$$, активна, иначе этот символ равен '<span class="tex-font-style-tt">B</span>'.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$q$$$ чисел, каждое из которых содержит ответ на один запрос.</p><p>Если состояние в $$$i$$$-м запросе недостижимо, выведите $$$-1$$$. Иначе выведите $$$t_i$$$ — первый момент времени, когда это состояние появилось (выводите время в секундах, начиная отсчет с секунды $$$0$$$, в которую появилось стартовое состояние).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 2 1 5 5 2 1 6 3 4 3 21 1 BBBBB 1 RBBBB 2 BBBBB 5 BRBBB 3 BRBBR 1 BRRBR 1 RRRBR 2 BRRBR 5 BBRBR 4 BBRBB 3 BBRRB 2 BBBRB 5 BRBRB 3 BRBRR 1 BRRRR 1 RRRRR 2 BRRRR 5 BBRRR 4 BBRRB 2 BRBBB 4 BRBBR </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 -1 -1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На картине изображен граф из первого примера.</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/84be2cb4eb3130e1238892f1f1cd7d6e9c02a773.png" style="max-width: 100.0%;max-height: 100.0%;"/></p><p>Первые $$$19$$$ запросов показывают перемещение фишки. После $$$19$$$-го шага фишка достигает вершины $$$6$$$. Последние два запроса соответствуют недостижимым состояниям.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/72188" title="A" target="_blank">A <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10093" resourceName="A" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72243" title="Codeforces Global Round 6 Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10092" resourceName="Codeforces Global Round 6 Editorial" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1266">Задачи</a></li> <li><a href="/contest/1266/submit">Отослать</a></li> <li><a href="/contest/1266/my">Мои посылки</a></li> <li><a href="/contest/1266/status">Статус</a></li> <li><a href="/contest/1266/hacks">Взломы</a></li> <li><a href="/contest/1266/room/1">Комната</a></li> <li><a href="/contest/1266/standings">Положение</a></li> <li><a href="/contest/1266/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="H" data-uuid="ps_4d6cfd914eeb07457acfc82cb848d5721e5a939f"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">H. Красно-синий граф</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>4 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Дан ориентированный граф из $$$n$$$ вершин, пронумерованных от $$$1$$$ до $$$n$$$, в котором из каждой вершины (кроме $$$n$$$) исходит две дуги, красная и синяя. В любой момент времени ровно одна исходящая дуга является <span class="tex-font-style-it">активной</span> для каждой вершины. Изначально все синие дуги активны, а в вершине $$$1$$$ находится фишка. В начале каждой секунды у вершины, в которой стоит фишка, меняется активная дуга. Затем фишка перемещается по активной дуге. Когда фишка достигает вершины $$$n$$$, она останавливается. Гарантируется, что вершина $$$n$$$ достижима по дугам из всех остальных вершин графа.</p><p>Вам задаются $$$q$$$ запросов, в каждом из которых описывается состояние графа — пара $$$(v, s)$$$ следующего вида: </p><ul> <li> $$$v$$$ — вершина, в которой находится фишка; </li><li> $$$s$$$ — строка из $$$n - 1$$$ символов. $$$i$$$-й символ обозначает, какая дуга, ведущая из $$$i$$$, активна (красная, если символ равен '<span class="tex-font-style-tt">R</span>', или синяя, если символ — '<span class="tex-font-style-tt">B</span>'). </li></ul><p>Для каждого запроса определите, достижимо ли заданное состояние из стартового, и если да — когда такое состояние графа появится в первый раз. Обратите внимание, что заданные две операции неразрывны между собой — состояние не считается достигнутым, если оно появляется после изменения активной дуги, но до того, как фишку переместили по дуге.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$n$$$ ($$$2 \leq n \leq 58$$$) — количество вершин.</p><p>Далее следуют $$$n-1$$$ строк, $$$i$$$-я из которых содержит два целых числа $$$b_i$$$ и $$$r_i$$$ ($$$1 \leq b_i, r_i \leq n$$$), обозначающих синюю дугу $$$(i, b_i)$$$ и красную дугу $$$(i, r_i)$$$, соответственно. Гарантируется, что вершина $$$n$$$ достижима из всех остальных.</p><p>Следующая строка содержит одно целое число $$$q$$$ ($$$1 \leq q \leq 5000$$$) — количество запросов.</p><p>Затем следуют $$$q$$$ строк с запросами. $$$j$$$-я из них содержит целое число $$$v$$$ ($$$1 \leq v < n$$$) и строку $$$s$$$ из $$$n-1$$$ символов, каждый из которых либо '<span class="tex-font-style-tt">R</span>', либо '<span class="tex-font-style-tt">B</span>'. $$$i$$$-й из этих символов равен '<span class="tex-font-style-tt">R</span>', если красная дуга, ведущая из вершины $$$i$$$, активна, иначе этот символ равен '<span class="tex-font-style-tt">B</span>'.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$q$$$ чисел, каждое из которых содержит ответ на один запрос.</p><p>Если состояние в $$$i$$$-м запросе недостижимо, выведите $$$-1$$$. Иначе выведите $$$t_i$$$ — первый момент времени, когда это состояние появилось (выводите время в секундах, начиная отсчет с секунды $$$0$$$, в которую появилось стартовое состояние).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 2 1 5 5 2 1 6 3 4 3 21 1 BBBBB 1 RBBBB 2 BBBBB 5 BRBBB 3 BRBBR 1 BRRBR 1 RRRBR 2 BRRBR 5 BBRBR 4 BBRBB 3 BBRRB 2 BBBRB 5 BRBRB 3 BRBRR 1 BRRRR 1 RRRRR 2 BRRRR 5 BBRRR 4 BBRRB 2 BRBBB 4 BRBBR </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 -1 -1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>На картине изображен граф из первого примера.</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/84be2cb4eb3130e1238892f1f1cd7d6e9c02a773.png" style="max-width: 100.0%;max-height: 100.0%;" /></p><p>Первые $$$19$$$ запросов показывают перемещение фишки. После $$$19$$$-го шага фишка достигает вершины $$$6$$$. Последние два запроса соответствуют недостижимым состояниям.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=H]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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["Meet-in-the-middle", "\u0413\u0440\u0430\u0444\u044b", "\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u041f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043c\u0430\u0442\u0440\u0438\u0446, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c, \u043f\u0440\u0430\u0432\u0438\u043b\u043e \u041a\u0440\u0430\u043c\u0435\u0440\u0430, \u0441\u0438\u0441\u0442\u0435\u043c\u044b \u043b\u0438\u043d\u0435\u0439\u043d\u044b\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["meet-in-the-middle", "\u0433\u0440\u0430\u0444\u044b", "\u0434\u043f", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u043c\u0430\u0442\u0440\u0438\u0446\u044b", "*3400"]

1267A

1267

A

ru

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""

nan

1267B

1267

B

ru

B. Balls of Buma

<div class="problem-statement"><div class="header"><div class="title">B. Balls of Buma</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Balph is learning to play a game called Buma. In this game, he is given a row of colored balls. He has to choose the color of one new ball and the place to insert it (between two balls, or to the left of all the balls, or to the right of all the balls).</p><p>When the ball is inserted the following happens repeatedly: if some segment of balls of the same color became longer as a result of a previous action and its length became at least $$$3$$$, then all the balls of this segment are eliminated. </p><p>Consider, for example, a row of balls '<span class="tex-font-style-tt">AAABBBWWBB</span>'. Suppose Balph chooses a ball of color '<span class="tex-font-style-tt">W</span>' and the place to insert it after the sixth ball, i. e. to the left of the two '<span class="tex-font-style-tt">W</span>'s. After Balph inserts this ball, the balls of color '<span class="tex-font-style-tt">W</span>' are eliminated, since this segment was made longer and has length $$$3$$$ now, so the row becomes '<span class="tex-font-style-tt">AAABBBBB</span>'. The balls of color '<span class="tex-font-style-tt">B</span>' are eliminated now, because the segment of balls of color '<span class="tex-font-style-tt">B</span>' became longer and has length $$$5$$$ now. Thus, the row becomes '<span class="tex-font-style-tt">AAA</span>'. However, none of the balls are eliminated now, because there is no elongated segment.</p><p>Help Balph count the number of possible ways to choose a color of a new ball and a place to insert it that leads to the elimination of all the balls.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The only line contains a non-empty string of uppercase English letters of length at most $$$3 \cdot 10^5$$$. Each letter represents a ball with the corresponding color.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Output the number of ways to choose a color and a position of a new ball in order to eliminate all the balls.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> BBWWBB </pre></div><div class="output"><div class="title">Output</div><pre> 3 </pre></div><div class="input"><div class="title">Input</div><pre> BWWB </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> BBWBB </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> OOOWWW </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> WWWOOOOOOWWW </pre></div><div class="output"><div class="title">Output</div><pre> 7 </pre></div></div></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_2591ea9d8a111d3b7a1f5d405c1aa5fcd9bb9000"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Balls of Buma</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Balph is learning to play a game called Buma. In this game, he is given a row of colored balls. He has to choose the color of one new ball and the place to insert it (between two balls, or to the left of all the balls, or to the right of all the balls).</p><p>When the ball is inserted the following happens repeatedly: if some segment of balls of the same color became longer as a result of a previous action and its length became at least $$$3$$$, then all the balls of this segment are eliminated. </p><p>Consider, for example, a row of balls '<span class="tex-font-style-tt">AAABBBWWBB</span>'. Suppose Balph chooses a ball of color '<span class="tex-font-style-tt">W</span>' and the place to insert it after the sixth ball, i. e. to the left of the two '<span class="tex-font-style-tt">W</span>'s. After Balph inserts this ball, the balls of color '<span class="tex-font-style-tt">W</span>' are eliminated, since this segment was made longer and has length $$$3$$$ now, so the row becomes '<span class="tex-font-style-tt">AAABBBBB</span>'. The balls of color '<span class="tex-font-style-tt">B</span>' are eliminated now, because the segment of balls of color '<span class="tex-font-style-tt">B</span>' became longer and has length $$$5$$$ now. Thus, the row becomes '<span class="tex-font-style-tt">AAA</span>'. However, none of the balls are eliminated now, because there is no elongated segment.</p><p>Help Balph count the number of possible ways to choose a color of a new ball and a place to insert it that leads to the elimination of all the balls.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The only line contains a non-empty string of uppercase English letters of length at most $$$3 \cdot 10^5$$$. Each letter represents a ball with the corresponding color.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Output the number of ways to choose a color and a position of a new ball in order to eliminate all the balls.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> BBWWBB </pre></div><div class="output"><div class="title">Output</div><pre> 3 </pre></div><div class="input"><div class="title">Input</div><pre> BWWB </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> BBWBB </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> OOOWWW </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> WWWOOOOOOWWW </pre></div><div class="output"><div class="title">Output</div><pre> 7 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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D. DevOps Best Practices

<div class="problem-statement"><div class="header"><div class="title">D. DevOps Best Practices</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Daisy is a senior software engineer at RainyDay, LLC. She has just implemented three new features in their product: the first feature makes their product work, the second one makes their product fast, and the third one makes their product correct. The company encourages at least some testing of new features, so Daisy appointed her intern Demid to write some tests for the new features.</p><p>Interestingly enough, these three features pass all the tests on Demid's development server, which has index 1, but might fail the tests on some other servers.</p><p>After Demid has completed this task, Daisy appointed you to deploy these three features to all $$$n$$$ servers of your company. For every feature $$$f$$$ and every server $$$s$$$, Daisy told you whether she wants the feature $$$f$$$ to be deployed on the server $$$s$$$. If she wants it to be deployed, it must be done even if the feature $$$f$$$ fails the tests on the server $$$s$$$. If she does not want it to be deployed, you may not deploy it there.</p><p>Your company has two important instruments for the deployment of new features to servers: Continuous Deployment (CD) and Continuous Testing (CT). CD can be established between several pairs of servers, forming a directed graph. CT can be set up on some set of servers.</p><p>If CD is configured from the server $$$s_1$$$ to the server $$$s_2$$$ then every time $$$s_1$$$ receives a new feature $$$f$$$ the system starts the following deployment process of $$$f$$$ to $$$s_2$$$:</p><ul> <li> If the feature $$$f$$$ is already deployed on the server $$$s_2$$$, then nothing is done. </li><li> Otherwise, if CT is not set up on the server $$$s_1$$$, then the server $$$s_1$$$ just deploys the feature $$$f$$$ to the server $$$s_2$$$ without any testing. </li><li> Otherwise, the server $$$s_1$$$ runs tests for the feature $$$f$$$. If the tests fail on the server $$$s_1$$$, nothing is done. If the tests pass, then the server $$$s_1$$$ deploys the feature $$$f$$$ to the server $$$s_2$$$. </li></ul><p>You are to configure the CD/CT system, and after that Demid will deploy all three features on his development server. Your CD/CT system must deploy each feature exactly to the set of servers that Daisy wants.</p><p>Your company does not have a lot of computing resources, so you can establish CD from one server to another at most $$$264$$$ times.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains integer $$$n$$$ ($$$2 \le n \le 256$$$) — the number of servers in your company.</p><p>Next $$$n$$$ lines contain three integers each. The $$$j$$$-th integer in the $$$i$$$-th line is $$$1$$$ if Daisy wants the $$$j$$$-th feature to be deployed to the $$$i$$$-th server, or $$$0$$$ otherwise.</p><p>Next $$$n$$$ lines contain three integers each. The $$$j$$$-th integer in the $$$i$$$-th line is $$$1$$$ if tests pass for the $$$j$$$-th feature on the $$$i$$$-th server, or $$$0$$$ otherwise.</p><p>Demid's development server has index $$$1$$$. It is guaranteed that Daisy wants all three features to be deployed to the server number 1, and all three features pass their tests on the server number 1.</p></div><div class="output-specification"><div class="section-title">Output</div><p>If it is impossible to configure CD/CT system with CD being set up between at most $$$264$$$ pairs of servers, then output the single line "<span class="tex-font-style-tt">Impossible</span>".</p><p>Otherwise, the first line of the output must contain the line "<span class="tex-font-style-tt">Possible</span>".</p><p>Next line must contain $$$n$$$ space-separated integers — the configuration of CT. The $$$i$$$-th integer should be $$$1$$$ if you set up CT on the $$$i$$$-th server, or $$$0$$$ otherwise.</p><p>Next line must contain the integer $$$m$$$ ($$$0 \le m \le 264$$$) — the number of CD pairs you want to set up.</p><p>Each of the next $$$m$$$ lines must describe CD configuration, each line with two integers $$$s_i$$$ and $$$t_i$$$ ($$$1 \le s_i, t_i \le n$$$; $$$s_i \ne t_i$$$), establishing automated deployment of new features from the server $$$s_i$$$ to the server $$$t_i$$$.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 </pre></div><div class="output"><div class="title">Output</div><pre> Possible 1 1 1 2 3 2 1 3 </pre></div><div class="input"><div class="title">Input</div><pre> 2 1 1 1 0 0 1 1 1 1 1 1 0 </pre></div><div class="output"><div class="title">Output</div><pre> Impossible </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>CD/CT system for the first sample test is shown below.</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/5b793faa15b226da10d5debc4fe4f873435621cd.png" style="max-width: 100.0%;max-height: 100.0%;"/> </center></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/71764" title="71764" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9993" resourceName="71764" resourceManual="true" src="//codeforces.org/s/82653/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="http://nerc.itmo.ru/archive/2019/nerc-2019-tutorial.pdf" title="nerc-2019-tutorial.pdf" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9992" resourceName="nerc-2019-tutorial.pdf" resourceManual="true" src="//codeforces.org/s/82653/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1267">Задачи</a></li> <li><a href="/contest/1267/submit">Отослать</a></li> <li><a href="/contest/1267/my">Мои посылки</a></li> <li><a href="/contest/1267/status">Статус</a></li> <li><a href="/contest/1267/standings">Положение</a></li> <li><a href="/contest/1267/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_fb55da1f8408f52797402c6187b48ad277df4bb4"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. DevOps Best Practices</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Daisy is a senior software engineer at RainyDay, LLC. She has just implemented three new features in their product: the first feature makes their product work, the second one makes their product fast, and the third one makes their product correct. The company encourages at least some testing of new features, so Daisy appointed her intern Demid to write some tests for the new features.</p><p>Interestingly enough, these three features pass all the tests on Demid's development server, which has index 1, but might fail the tests on some other servers.</p><p>After Demid has completed this task, Daisy appointed you to deploy these three features to all $$$n$$$ servers of your company. For every feature $$$f$$$ and every server $$$s$$$, Daisy told you whether she wants the feature $$$f$$$ to be deployed on the server $$$s$$$. If she wants it to be deployed, it must be done even if the feature $$$f$$$ fails the tests on the server $$$s$$$. If she does not want it to be deployed, you may not deploy it there.</p><p>Your company has two important instruments for the deployment of new features to servers: Continuous Deployment (CD) and Continuous Testing (CT). CD can be established between several pairs of servers, forming a directed graph. CT can be set up on some set of servers.</p><p>If CD is configured from the server $$$s_1$$$ to the server $$$s_2$$$ then every time $$$s_1$$$ receives a new feature $$$f$$$ the system starts the following deployment process of $$$f$$$ to $$$s_2$$$:</p><ul> <li> If the feature $$$f$$$ is already deployed on the server $$$s_2$$$, then nothing is done. </li><li> Otherwise, if CT is not set up on the server $$$s_1$$$, then the server $$$s_1$$$ just deploys the feature $$$f$$$ to the server $$$s_2$$$ without any testing. </li><li> Otherwise, the server $$$s_1$$$ runs tests for the feature $$$f$$$. If the tests fail on the server $$$s_1$$$, nothing is done. If the tests pass, then the server $$$s_1$$$ deploys the feature $$$f$$$ to the server $$$s_2$$$. </li></ul><p>You are to configure the CD/CT system, and after that Demid will deploy all three features on his development server. Your CD/CT system must deploy each feature exactly to the set of servers that Daisy wants.</p><p>Your company does not have a lot of computing resources, so you can establish CD from one server to another at most $$$264$$$ times.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains integer $$$n$$$ ($$$2 \le n \le 256$$$) — the number of servers in your company.</p><p>Next $$$n$$$ lines contain three integers each. The $$$j$$$-th integer in the $$$i$$$-th line is $$$1$$$ if Daisy wants the $$$j$$$-th feature to be deployed to the $$$i$$$-th server, or $$$0$$$ otherwise.</p><p>Next $$$n$$$ lines contain three integers each. The $$$j$$$-th integer in the $$$i$$$-th line is $$$1$$$ if tests pass for the $$$j$$$-th feature on the $$$i$$$-th server, or $$$0$$$ otherwise.</p><p>Demid's development server has index $$$1$$$. It is guaranteed that Daisy wants all three features to be deployed to the server number 1, and all three features pass their tests on the server number 1.</p></div><div class="output-specification"><div class="section-title">Output</div><p>If it is impossible to configure CD/CT system with CD being set up between at most $$$264$$$ pairs of servers, then output the single line "<span class="tex-font-style-tt">Impossible</span>".</p><p>Otherwise, the first line of the output must contain the line "<span class="tex-font-style-tt">Possible</span>".</p><p>Next line must contain $$$n$$$ space-separated integers — the configuration of CT. The $$$i$$$-th integer should be $$$1$$$ if you set up CT on the $$$i$$$-th server, or $$$0$$$ otherwise.</p><p>Next line must contain the integer $$$m$$$ ($$$0 \le m \le 264$$$) — the number of CD pairs you want to set up.</p><p>Each of the next $$$m$$$ lines must describe CD configuration, each line with two integers $$$s_i$$$ and $$$t_i$$$ ($$$1 \le s_i, t_i \le n$$$; $$$s_i \ne t_i$$$), establishing automated deployment of new features from the server $$$s_i$$$ to the server $$$t_i$$$.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 </pre></div><div class="output"><div class="title">Output</div><pre> Possible 1 1 1 2 3 2 1 3 </pre></div><div class="input"><div class="title">Input</div><pre> 2 1 1 1 0 0 1 1 1 1 1 1 0 </pre></div><div class="output"><div class="title">Output</div><pre> Impossible </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>CD/CT system for the first sample test is shown below.</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/5b793faa15b226da10d5debc4fe4f873435621cd.png" style="max-width: 100.0%;max-height: 100.0%;" /> </center></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); 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["\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "*2800"]

1267E

1267

E

ru

E. Elections

<div class="problem-statement"><div class="header"><div class="title">E. Elections</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there is one opposition candidate in one of the constituencies. Even one opposition member can disturb the stability in the Senate, so the head of the Party asks you to ensure that the opposition candidate will not be elected.</p><p>There are $$$n$$$ candidates, numbered from 1 to $$$n$$$. Candidate $$$n$$$ is the opposition candidate. There are $$$m$$$ polling stations in the constituency, numbered from 1 to $$$m$$$. You know the number of votes cast for each candidate at each polling station. The only thing you can do to prevent the election of the opposition candidate is to cancel the election results at some polling stations. The opposition candidate will be elected if the sum of the votes cast in their favor at all non-canceled stations will be <span class="tex-font-style-bf">strictly greater</span> than the analogous sum for every other candidate. </p><p>Your task is to prevent the election of the opposition candidate by canceling the election results at the minimal possible number of polling stations. Notice that solution always exists, because if you cancel the elections at all polling stations, the number of votes for each candidate will be 0, and the opposition candidate will not be elected.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains two integers $$$n$$$ and $$$m$$$ ($$$2\le n\le 100$$$; $$$1\le m \le 100$$$) — the number of candidates and the number of polling stations. The next $$$m$$$ lines contain the election results at each polling station with $$$n$$$ numbers on each line. In the $$$i$$$-th line the $$$j$$$-th number is $$$a_{i,j}$$$ — the number of votes cast for the candidate $$$j$$$ at the station $$$i$$$ ($$$0\le a_{i,j} \le 1\,000$$$).</p></div><div class="output-specification"><div class="section-title">Output</div><p>In the first line output integer $$$k$$$ — the minimal number of the polling stations in which you need to cancel the election results. In the second line output $$$k$$$ integers — the indices of canceled polling stations, in any order. If there are multiple ways to cancel results at $$$k$$$ stations, output any one of them.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 5 3 6 3 4 2 8 3 7 5 6 7 5 2 4 7 9 </pre></div><div class="output"><div class="title">Output</div><pre> 2 3 1 </pre></div><div class="input"><div class="title">Input</div><pre> 2 1 1 1 </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> 3 3 2 3 8 4 2 9 3 1 7 </pre></div><div class="output"><div class="title">Output</div><pre> 3 1 2 3 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first example, the candidates from 1 to 5 received 14, 12, 13, 15, and 24 votes correspondingly. The opposition candidate has the most votes. However, if you cancel the election results at the first and the third polling stations, then only the result from the second polling station remains and the vote sums become 3, 7, 5, 6, and 7, without the opposition candidate being in the lead anymore. </p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_a7862b85b13335eb0863f6b1252d466364c64416"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Elections</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Byteburg Senate elections are coming. Usually "United Byteland", the ruling Byteland party, takes all the seats in the Senate to ensure stability and sustainable development. But this year there is one opposition candidate in one of the constituencies. Even one opposition member can disturb the stability in the Senate, so the head of the Party asks you to ensure that the opposition candidate will not be elected.</p><p>There are $$$n$$$ candidates, numbered from 1 to $$$n$$$. Candidate $$$n$$$ is the opposition candidate. There are $$$m$$$ polling stations in the constituency, numbered from 1 to $$$m$$$. You know the number of votes cast for each candidate at each polling station. The only thing you can do to prevent the election of the opposition candidate is to cancel the election results at some polling stations. The opposition candidate will be elected if the sum of the votes cast in their favor at all non-canceled stations will be <span class="tex-font-style-bf">strictly greater</span> than the analogous sum for every other candidate. </p><p>Your task is to prevent the election of the opposition candidate by canceling the election results at the minimal possible number of polling stations. Notice that solution always exists, because if you cancel the elections at all polling stations, the number of votes for each candidate will be 0, and the opposition candidate will not be elected.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains two integers $$$n$$$ and $$$m$$$ ($$$2\le n\le 100$$$; $$$1\le m \le 100$$$) — the number of candidates and the number of polling stations. The next $$$m$$$ lines contain the election results at each polling station with $$$n$$$ numbers on each line. In the $$$i$$$-th line the $$$j$$$-th number is $$$a_{i,j}$$$ — the number of votes cast for the candidate $$$j$$$ at the station $$$i$$$ ($$$0\le a_{i,j} \le 1\,000$$$).</p></div><div class="output-specification"><div class="section-title">Output</div><p>In the first line output integer $$$k$$$ — the minimal number of the polling stations in which you need to cancel the election results. In the second line output $$$k$$$ integers — the indices of canceled polling stations, in any order. If there are multiple ways to cancel results at $$$k$$$ stations, output any one of them.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 5 3 6 3 4 2 8 3 7 5 6 7 5 2 4 7 9 </pre></div><div class="output"><div class="title">Output</div><pre> 2 3 1 </pre></div><div class="input"><div class="title">Input</div><pre> 2 1 1 1 </pre></div><div class="output"><div class="title">Output</div><pre> 0 </pre></div><div class="input"><div class="title">Input</div><pre> 3 3 2 3 8 4 2 9 3 1 7 </pre></div><div class="output"><div class="title">Output</div><pre> 3 1 2 3 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first example, the candidates from 1 to 5 received 14, 12, 13, 15, and 24 votes correspondingly. The opposition candidate has the most votes. 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ru

G. Game Relics

<div class="problem-statement"><div class="header"><div class="title">G. Game Relics</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Esports is a form of competitive sports using video games. Dota 2 is one of the most popular competitive video games in Esports. Recently, a new video game Dota 3 was released. In Dota 3 a player can buy some relics for their hero. Relics are counters that track hero's actions and statistics in a game.</p><p>Gloria likes to play Dota 3, so she wants to buy all $$$n$$$ available relics for her favorite hero.</p><p>Relics can be bought using an in-game currency called shards. Each relic has its own price — $$$c_i$$$ shards for the $$$i$$$-th relic. A player can buy a relic using one of the following options: </p><ul> <li> Pay $$$c_i$$$ shards to buy the $$$i$$$-th relic; </li><li> Pay $$$x$$$ shards and randomly get one of all $$$n$$$ relics. The probability of getting a relic is the same for all $$$n$$$ relics. If a duplicate relic is received, then the relic is recycled and $$$\frac{x}{2}$$$ shards are given back to the player. </li></ul><p>Gloria wants to buy all $$$n$$$ relics. Help her minimize the expected number of shards she spends to buy all the relics.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains two integers $$$n$$$ and $$$x$$$ ($$$1 \le n \le 100$$$; $$$1 \le x \le 10\,000$$$) — the number of relics and the cost to receive a random relic.</p><p>The second line consists of $$$n$$$ integers $$$c_1, c_2, \ldots, c_n$$$ ($$$x \le c_i \le 10\,000$$$; $$$\sum{c_i} \le 10\,000$$$) — the prices of $$$n$$$ relics.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print a single real number — the minimum expected number of shards that Gloria must spend to buy all the relics.</p><p>The absolute or relative error should not exceed $$$10^{-9}$$$.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 2 20 25 100 </pre></div><div class="output"><div class="title">Output</div><pre> 47.50000000000000000 </pre></div><div class="input"><div class="title">Input</div><pre> 4 30 60 50 60 80 </pre></div><div class="output"><div class="title">Output</div><pre> 171.25000000000000000 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first example, the optimal strategy is to randomly get one of the two relics paying $$$20$$$ shards. Then there are two scenarios. </p><p>The first one happens if Gloria receives the first relic. Then she keeps getting random relics until she obtains the second relic. The expected number of shards to spend in this scenario is $$$20 + 30 = 50$$$.</p><p>In the second scenario, Gloria initially gets the second relic. Then it is better to buy the first relic for $$$25$$$ shards, so the expected number of shards to spend in this scenario is $$$20 + 25 = 45$$$.</p><p>Thus, the expected number of shards to spend is $$$\frac{50 + 45}{2} = 47.5$$$.</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="G" data-uuid="ps_92c7d2e16c97f069e2c3a665d861718945ee9174"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">G. Game Relics</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Esports is a form of competitive sports using video games. Dota 2 is one of the most popular competitive video games in Esports. Recently, a new video game Dota 3 was released. In Dota 3 a player can buy some relics for their hero. Relics are counters that track hero's actions and statistics in a game.</p><p>Gloria likes to play Dota 3, so she wants to buy all $$$n$$$ available relics for her favorite hero.</p><p>Relics can be bought using an in-game currency called shards. Each relic has its own price — $$$c_i$$$ shards for the $$$i$$$-th relic. A player can buy a relic using one of the following options: </p><ul> <li> Pay $$$c_i$$$ shards to buy the $$$i$$$-th relic; </li><li> Pay $$$x$$$ shards and randomly get one of all $$$n$$$ relics. The probability of getting a relic is the same for all $$$n$$$ relics. If a duplicate relic is received, then the relic is recycled and $$$\frac{x}{2}$$$ shards are given back to the player. </li></ul><p>Gloria wants to buy all $$$n$$$ relics. Help her minimize the expected number of shards she spends to buy all the relics.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains two integers $$$n$$$ and $$$x$$$ ($$$1 \le n \le 100$$$; $$$1 \le x \le 10\,000$$$) — the number of relics and the cost to receive a random relic.</p><p>The second line consists of $$$n$$$ integers $$$c_1, c_2, \ldots, c_n$$$ ($$$x \le c_i \le 10\,000$$$; $$$\sum{c_i} \le 10\,000$$$) — the prices of $$$n$$$ relics.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print a single real number — the minimum expected number of shards that Gloria must spend to buy all the relics.</p><p>The absolute or relative error should not exceed $$$10^{-9}$$$.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 2 20 25 100 </pre></div><div class="output"><div class="title">Output</div><pre> 47.50000000000000000 </pre></div><div class="input"><div class="title">Input</div><pre> 4 30 60 50 60 80 </pre></div><div class="output"><div class="title">Output</div><pre> 171.25000000000000000 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first example, the optimal strategy is to randomly get one of the two relics paying $$$20$$$ shards. Then there are two scenarios. </p><p>The first one happens if Gloria receives the first relic. Then she keeps getting random relics until she obtains the second relic. The expected number of shards to spend in this scenario is $$$20 + 30 = 50$$$.</p><p>In the second scenario, Gloria initially gets the second relic. Then it is better to buy the first relic for $$$25$$$ shards, so the expected number of shards to spend in this scenario is $$$20 + 25 = 45$$$.</p><p>Thus, the expected number of shards to spend is $$$\frac{50 + 45}{2} = 47.5$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=G]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/82653"); 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["\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0412\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0438, \u043c\u0430\u0442. \u043e\u0436\u0438\u0434\u0430\u043d\u0438\u044f, \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u0435 \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u0442\u0435\u043e\u0440\u0438\u044f \u0432\u0435\u0440\u043e\u044f\u0442\u043d\u043e\u0441\u0442\u0435\u0439", "*3000"]

1267H

1267

H

ru

H. Help BerLine

<div class="problem-statement"><div class="header"><div class="title">H. Help BerLine</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Very soon, the new cell phone services provider "BerLine" will begin its work in Berland!</p><p>The start of customer service is planned along the main street of the capital. There are $$$n$$$ base stations that are already installed. They are located one after another along the main street in the order from the $$$1$$$-st to the $$$n$$$-th from left to right. </p><p>Currently, all these base stations are turned off. They will be turned on one by one, one base station per day, according to some permutation $$$p = [p_1, p_2, \dots, p_n]$$$ ($$$ 1 \le p_i \le n$$$), where $$$p_i$$$ is the index of a base station that will be turned on on the $$$i$$$-th day. Thus, it will take $$$n$$$ days to turn on all base stations.</p><p>Each base station is characterized by its operating frequency $$$f_i$$$ — an integer between $$$1$$$ and $$$24$$$, inclusive.</p><p>There is an important requirement for operating frequencies of base stations. Consider an arbitrary moment in time. For any phone owner, if we consider all base stations turned on in the access area of their phone, then in this set of base stations there should be at least one whose operating frequency is unique among the frequencies of these stations. Since the power of the phone and the position are not known in advance, this means that for any nonempty subsegment of turned on base stations, at least one of them has to have the operating frequency that is unique among the stations of this subsegment.</p><p>For example, let's take a look at a case of $$$n = 7$$$, all $$$n$$$ stations are turned on, and their frequencies are equal to $$$f = [1, 2, 1, 3, 1, 2, 1]$$$. Consider any subsegment of the base stations — there is a base station with a unique frequency within this subsegment. However, if $$$f = [1, 2, 1, 2, 3, 2, 1]$$$, then there is no unique frequency on the segment $$$[1, 2, 1, 2]$$$ from the index $$$1$$$ to the index $$$4$$$, inclusive.</p><p>Your task is to assign a frequency from $$$1$$$ to $$$24$$$ to each of $$$n$$$ base stations in such a way that the frequency requirement is met at every moment. Remember that the base stations are turned on in the order of the given permutation $$$p$$$.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains an integer $$$t$$$ ($$$1 \le t \le 50$$$) — the number of test cases in the input. Then $$$t$$$ test case descriptions follow.</p><p>The first line of a test case contains an integer $$$n$$$ ($$$ 1 \le n \le 8\,500$$$) — the number of "BerLine" base stations.</p><p>The following line contains $$$n$$$ distinct integers $$$p_1, p_2, \dots, p_n$$$ ($$$1 \le p_i \le n$$$) — the order in which the base stations are turned on, i. e. on the $$$i$$$-th day the base station with the index $$$p_i$$$ is turned on.</p><p>It is guaranteed that a correct answer exists for all test cases in the input.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print exactly $$$t$$$ lines, where the $$$j$$$-th line contains the answer for the $$$j$$$-th test case in the input. Print the required frequencies $$$f_1, f_2, \dots, f_n$$$ ($$$1 \le f_i \le 24$$$). If there are several possible answers, print any of them.</p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 5 3 1 3 2 3 1 2 3 1 1 10 6 10 4 2 7 9 5 8 3 1 10 2 4 6 9 1 8 10 5 3 7 </pre></div><div class="output"><div class="title">Output</div><pre> 1 3 2 10 20 10 1 2 3 4 5 3 1 3 5 4 2 1 2 3 4 5 6 7 8 9 10</pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first test case $$$n = 3$$$ and $$$p = [1, 3, 2]$$$. The base stations can be assigned frequencies $$$[1, 3, 2]$$$.</p><ul> <li> Day 1: only the base station $$$1$$$ is turned on, its frequency is $$$1$$$. </li><li> Day 2: the base stations $$$1$$$ and $$$3$$$ are turned on, their frequencies are $$$[1, 2]$$$. </li><li> Day 3: all base stations are turned on, their frequencies are $$$[1, 3, 2]$$$ (in the direction along the street). </li></ul><p>On each day, each nonempty subsegment of turned on base stations has a base station with a unique frequency among this subsegment. It can be shown that three distinct frequencies are necessary in this test case.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/71764" title="71764" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9993" resourceName="71764" resourceManual="true" src="//codeforces.org/s/91341/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="http://nerc.itmo.ru/archive/2019/nerc-2019-tutorial.pdf" title="nerc-2019-tutorial.pdf" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9992" resourceName="nerc-2019-tutorial.pdf" resourceManual="true" src="//codeforces.org/s/91341/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1267">Задачи</a></li> <li><a href="/contest/1267/submit">Отослать</a></li> <li><a href="/contest/1267/my">Мои посылки</a></li> <li><a href="/contest/1267/status">Статус</a></li> <li><a href="/contest/1267/standings">Положение</a></li> <li><a href="/contest/1267/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="H" data-uuid="ps_6a3374dda385c7a59809d3050fcb9792706670af"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">H. Help BerLine</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Very soon, the new cell phone services provider "BerLine" will begin its work in Berland!</p><p>The start of customer service is planned along the main street of the capital. There are $$$n$$$ base stations that are already installed. They are located one after another along the main street in the order from the $$$1$$$-st to the $$$n$$$-th from left to right. </p><p>Currently, all these base stations are turned off. They will be turned on one by one, one base station per day, according to some permutation $$$p = [p_1, p_2, \dots, p_n]$$$ ($$$ 1 \le p_i \le n$$$), where $$$p_i$$$ is the index of a base station that will be turned on on the $$$i$$$-th day. Thus, it will take $$$n$$$ days to turn on all base stations.</p><p>Each base station is characterized by its operating frequency $$$f_i$$$ — an integer between $$$1$$$ and $$$24$$$, inclusive.</p><p>There is an important requirement for operating frequencies of base stations. Consider an arbitrary moment in time. For any phone owner, if we consider all base stations turned on in the access area of their phone, then in this set of base stations there should be at least one whose operating frequency is unique among the frequencies of these stations. Since the power of the phone and the position are not known in advance, this means that for any nonempty subsegment of turned on base stations, at least one of them has to have the operating frequency that is unique among the stations of this subsegment.</p><p>For example, let's take a look at a case of $$$n = 7$$$, all $$$n$$$ stations are turned on, and their frequencies are equal to $$$f = [1, 2, 1, 3, 1, 2, 1]$$$. Consider any subsegment of the base stations — there is a base station with a unique frequency within this subsegment. However, if $$$f = [1, 2, 1, 2, 3, 2, 1]$$$, then there is no unique frequency on the segment $$$[1, 2, 1, 2]$$$ from the index $$$1$$$ to the index $$$4$$$, inclusive.</p><p>Your task is to assign a frequency from $$$1$$$ to $$$24$$$ to each of $$$n$$$ base stations in such a way that the frequency requirement is met at every moment. Remember that the base stations are turned on in the order of the given permutation $$$p$$$.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line of the input contains an integer $$$t$$$ ($$$1 \le t \le 50$$$) — the number of test cases in the input. Then $$$t$$$ test case descriptions follow.</p><p>The first line of a test case contains an integer $$$n$$$ ($$$ 1 \le n \le 8\,500$$$) — the number of "BerLine" base stations.</p><p>The following line contains $$$n$$$ distinct integers $$$p_1, p_2, \dots, p_n$$$ ($$$1 \le p_i \le n$$$) — the order in which the base stations are turned on, i. e. on the $$$i$$$-th day the base station with the index $$$p_i$$$ is turned on.</p><p>It is guaranteed that a correct answer exists for all test cases in the input.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print exactly $$$t$$$ lines, where the $$$j$$$-th line contains the answer for the $$$j$$$-th test case in the input. Print the required frequencies $$$f_1, f_2, \dots, f_n$$$ ($$$1 \le f_i \le 24$$$). If there are several possible answers, print any of them.</p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 5 3 1 3 2 3 1 2 3 1 1 10 6 10 4 2 7 9 5 8 3 1 10 2 4 6 9 1 8 10 5 3 7 </pre></div><div class="output"><div class="title">Output</div><pre> 1 3 2 10 20 10 1 2 3 4 5 3 1 3 5 4 2 1 2 3 4 5 6 7 8 9 10</pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first test case $$$n = 3$$$ and $$$p = [1, 3, 2]$$$. The base stations can be assigned frequencies $$$[1, 3, 2]$$$.</p><ul> <li> Day 1: only the base station $$$1$$$ is turned on, its frequency is $$$1$$$. </li><li> Day 2: the base stations $$$1$$$ and $$$3$$$ are turned on, their frequencies are $$$[1, 2]$$$. </li><li> Day 3: all base stations are turned on, their frequencies are $$$[1, 3, 2]$$$ (in the direction along the street). </li></ul><p>On each day, each nonempty subsegment of turned on base stations has a base station with a unique frequency among this subsegment. 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1267I

1267

I

ru

I. Intriguing Selection

<div class="problem-statement"><div class="header"><div class="title">I. Intriguing Selection</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p><span class="tex-font-style-underline">This is an interactive problem.</span></p><p>You are the head coach of a chess club. The club has $$$2n$$$ players, each player has some <span class="tex-font-style-underline">strength</span> which can be represented by a number, and all those numbers are distinct. The strengths of the players are not known to you.</p><p>You need to select $$$n$$$ players who would represent your club in the upcoming championship. Naturally, you want to select $$$n$$$ players with the highest strengths.</p><p>You can organize matches between the players to do that. In every match, you pick two players, they play some games, and you learn which one of the two has higher strength. You can wait for the outcome of a match before deciding who will participate in the next one.</p><p>However, you do not want to know <span class="tex-font-style-underline">exactly</span> how those $$$n$$$ players compare between themselves, as that would make the championship itself less <span class="tex-font-style-underline">intriguing</span>. More formally, you must reach a state where there is exactly one way to choose $$$n$$$ players with the highest strengths that is consistent with the outcomes of the matches you organized, but there must be at least two possible orderings of those $$$n$$$ players by strength that are consistent with the outcomes of the matches you organized.</p></div><div><div class="section-title">Interaction</div><p>Your program has to process multiple test cases in one run. First, it should read the integer $$$t$$$ ($$$t \ge 1$$$) — the number of test cases. Then, it should process the test cases one by one.</p><p>In each test case, your program should start by reading the integer $$$n$$$ ($$$3 \le n \le 100$$$) — the number of players to select out of $$$2n$$$ players. The sum of squares of the values of $$$n$$$ over all test cases does not exceed $$$10\,000$$$.</p><p>Then your program can organize matches zero or more times. To organize a match, your program should print a match description formatted as <span class="tex-font-style-tt">? $$$i$$$ $$$j$$$</span> — a question mark followed by two distinct numbers of players participating in the match. The players are numbered from 1 to $$$2n$$$, inclusive. Remember to flush the output after printing the match description. Then your program should read the match outcome — it will be either the greater-than character (<span class="tex-font-style-tt">></span>), if the first player in the match description has higher strength, or the less-than character (<span class="tex-font-style-tt"><</span>), if the second player in the match description has higher strength.</p><p>Your program can organize at most $$$4n^2$$$ matches. After it is done organizing matches, it should print the exclamation mark (<span class="tex-font-style-tt">!</span>) and continue to the next test case, or exit gracefully if this was the last test case. Remember to flush the output after printing the exclamation mark.</p><p>There must be exactly one way to choose $$$n$$$ players with the highest strength that is consistent with the outcomes of the matches you organized, but there must be at least two possible orderings of those $$$n$$$ players by their strength that are consistent with the outcomes of the matches you organized.</p><p>The judging program picks some distinct numbers as the strengths of all players before your program starts organizing matches and uses them to answer the requests.</p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 2 3 > < > < > > 3 < < < > > </pre></div><div class="output"><div class="title">Output</div><pre> ? 1 3 ? 4 2 ? 4 5 ? 6 5 ? 3 4 ? 5 6 ! ? 3 4 ? 4 2 ? 5 3 ? 6 4 ? 3 1 ! </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the example, the players in the first test case are sorted by strength in decreasing order. From the matches in the example output, we can deduce that players 1, 2, and 3 have the highest strength, but we do not know how the player 1 compares to the player 2.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/71764" title="71764" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9993" resourceName="71764" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="http://nerc.itmo.ru/archive/2019/nerc-2019-tutorial.pdf" title="nerc-2019-tutorial.pdf" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9992" resourceName="nerc-2019-tutorial.pdf" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1267">Задачи</a></li> <li><a href="/contest/1267/submit">Отослать</a></li> <li><a href="/contest/1267/my">Мои посылки</a></li> <li><a href="/contest/1267/status">Статус</a></li> <li><a href="/contest/1267/standings">Положение</a></li> <li><a href="/contest/1267/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="I" data-uuid="ps_c1d433e926a8882218e563b318586e09f1649746"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">I. Intriguing Selection</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p><span class="tex-font-style-underline">This is an interactive problem.</span></p><p>You are the head coach of a chess club. The club has $$$2n$$$ players, each player has some <span class="tex-font-style-underline">strength</span> which can be represented by a number, and all those numbers are distinct. The strengths of the players are not known to you.</p><p>You need to select $$$n$$$ players who would represent your club in the upcoming championship. Naturally, you want to select $$$n$$$ players with the highest strengths.</p><p>You can organize matches between the players to do that. In every match, you pick two players, they play some games, and you learn which one of the two has higher strength. You can wait for the outcome of a match before deciding who will participate in the next one.</p><p>However, you do not want to know <span class="tex-font-style-underline">exactly</span> how those $$$n$$$ players compare between themselves, as that would make the championship itself less <span class="tex-font-style-underline">intriguing</span>. More formally, you must reach a state where there is exactly one way to choose $$$n$$$ players with the highest strengths that is consistent with the outcomes of the matches you organized, but there must be at least two possible orderings of those $$$n$$$ players by strength that are consistent with the outcomes of the matches you organized.</p></div><div><div class="section-title">Interaction</div><p>Your program has to process multiple test cases in one run. First, it should read the integer $$$t$$$ ($$$t \ge 1$$$) — the number of test cases. Then, it should process the test cases one by one.</p><p>In each test case, your program should start by reading the integer $$$n$$$ ($$$3 \le n \le 100$$$) — the number of players to select out of $$$2n$$$ players. The sum of squares of the values of $$$n$$$ over all test cases does not exceed $$$10\,000$$$.</p><p>Then your program can organize matches zero or more times. To organize a match, your program should print a match description formatted as <span class="tex-font-style-tt">? $$$i$$$ $$$j$$$</span> — a question mark followed by two distinct numbers of players participating in the match. The players are numbered from 1 to $$$2n$$$, inclusive. Remember to flush the output after printing the match description. Then your program should read the match outcome — it will be either the greater-than character (<span class="tex-font-style-tt">></span>), if the first player in the match description has higher strength, or the less-than character (<span class="tex-font-style-tt"><</span>), if the second player in the match description has higher strength.</p><p>Your program can organize at most $$$4n^2$$$ matches. After it is done organizing matches, it should print the exclamation mark (<span class="tex-font-style-tt">!</span>) and continue to the next test case, or exit gracefully if this was the last test case. Remember to flush the output after printing the exclamation mark.</p><p>There must be exactly one way to choose $$$n$$$ players with the highest strength that is consistent with the outcomes of the matches you organized, but there must be at least two possible orderings of those $$$n$$$ players by their strength that are consistent with the outcomes of the matches you organized.</p><p>The judging program picks some distinct numbers as the strengths of all players before your program starts organizing matches and uses them to answer the requests.</p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 2 3 > < > < > > 3 < < < > > </pre></div><div class="output"><div class="title">Output</div><pre> ? 1 3 ? 4 2 ? 4 5 ? 6 5 ? 3 4 ? 5 6 ! ? 3 4 ? 4 2 ? 5 3 ? 6 4 ? 3 1 ! </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the example, the players in the first test case are sorted by strength in decreasing order. 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["\u0438\u043d\u0442\u0435\u0440\u0430\u043a\u0442\u0438\u0432", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438", "*2600"]

1267J

1267

J

ru

J. Just Arrange the Icons

<div class="problem-statement"><div class="header"><div class="title">J. Just Arrange the Icons</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>BerPhone X is almost ready for release with $$$n$$$ applications being preinstalled on the phone. A <span class="tex-font-style-it">category</span> of an application characterizes a genre or a theme of this application (like "game", "business", or "education"). The categories are given as integers between $$$1$$$ and $$$n$$$, inclusive; the $$$i$$$-th application has category $$$c_i$$$. </p><p>You can choose $$$m$$$ — the number of screens and $$$s$$$ — the size of each screen. You need to fit all $$$n$$$ icons of the applications (one icon representing one application) meeting the following requirements:</p><ul> <li> On each screen, all the icons must belong to applications of the same category (but different screens can contain icons of applications of the same category); </li><li> Each screen must be either completely filled with icons (the number of icons on the screen is equal to $$$s$$$) or almost filled with icons (the number of icons is equal to $$$s-1$$$). </li></ul><p>Your task is to find the minimal possible number of screens $$$m$$$.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains an integer $$$t$$$ ($$$1 \le t \le 10\,000$$$) — the number of test cases in the input. Then $$$t$$$ test cases follow.</p><p>The first line of each test case contains an integer $$$n$$$ ($$$1 \le n \le 2\cdot10^6$$$) — the number of the icons. The second line contains $$$n$$$ integers $$$c_1, c_2, \dots, c_n$$$ ($$$1 \le c_i \le n$$$), where $$$c_i$$$ is the category of the $$$i$$$-th application.</p><p>It is guaranteed that the sum of the values of $$$n$$$ for all test cases in the input does not exceed $$$2\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print $$$t$$$ integers — the answers to the given test cases in the order they follow in the input. The answer to a test case is an integer $$$m$$$ — the minimum number of screens on which all $$$n$$$ icons can be placed satisfying the given requirements.</p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 11 1 5 1 5 1 5 1 1 1 1 5 6 1 2 2 2 2 1 5 4 3 3 1 2 </pre></div><div class="output"><div class="title">Output</div><pre> 3 3 4 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first test case of the example, all the icons can be placed on three screens of size $$$4$$$: a screen with $$$4$$$ icons of the category $$$1$$$, a screen with $$$3$$$ icons of the category $$$1$$$, and a screen with $$$4$$$ icons of the category $$$5$$$.</p></div></div>

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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *1800 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='2adbae1b0b0e6884c2fb64c7ae006fb0'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="484394"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='2adbae1b0b0e6884c2fb64c7ae006fb0'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="484394"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/71764" title="71764" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9993" resourceName="71764" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="http://nerc.itmo.ru/archive/2019/nerc-2019-tutorial.pdf" title="nerc-2019-tutorial.pdf" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9992" resourceName="nerc-2019-tutorial.pdf" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1267">Задачи</a></li> <li><a href="/contest/1267/submit">Отослать</a></li> <li><a href="/contest/1267/my">Мои посылки</a></li> <li><a href="/contest/1267/status">Статус</a></li> <li><a href="/contest/1267/standings">Положение</a></li> <li><a href="/contest/1267/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="J" data-uuid="ps_caadeeb348799ad62c24ff15974b7e885171154b"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">J. Just Arrange the Icons</div><div class="time-limit"><div class="property-title">time limit per test</div>5 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>BerPhone X is almost ready for release with $$$n$$$ applications being preinstalled on the phone. A <span class="tex-font-style-it">category</span> of an application characterizes a genre or a theme of this application (like "game", "business", or "education"). The categories are given as integers between $$$1$$$ and $$$n$$$, inclusive; the $$$i$$$-th application has category $$$c_i$$$. </p><p>You can choose $$$m$$$ — the number of screens and $$$s$$$ — the size of each screen. You need to fit all $$$n$$$ icons of the applications (one icon representing one application) meeting the following requirements:</p><ul> <li> On each screen, all the icons must belong to applications of the same category (but different screens can contain icons of applications of the same category); </li><li> Each screen must be either completely filled with icons (the number of icons on the screen is equal to $$$s$$$) or almost filled with icons (the number of icons is equal to $$$s-1$$$). </li></ul><p>Your task is to find the minimal possible number of screens $$$m$$$.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains an integer $$$t$$$ ($$$1 \le t \le 10\,000$$$) — the number of test cases in the input. Then $$$t$$$ test cases follow.</p><p>The first line of each test case contains an integer $$$n$$$ ($$$1 \le n \le 2\cdot10^6$$$) — the number of the icons. The second line contains $$$n$$$ integers $$$c_1, c_2, \dots, c_n$$$ ($$$1 \le c_i \le n$$$), where $$$c_i$$$ is the category of the $$$i$$$-th application.</p><p>It is guaranteed that the sum of the values of $$$n$$$ for all test cases in the input does not exceed $$$2\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Print $$$t$$$ integers — the answers to the given test cases in the order they follow in the input. The answer to a test case is an integer $$$m$$$ — the minimum number of screens on which all $$$n$$$ icons can be placed satisfying the given requirements.</p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 11 1 5 1 5 1 5 1 1 1 1 5 6 1 2 2 2 2 1 5 4 3 3 1 2 </pre></div><div class="output"><div class="title">Output</div><pre> 3 3 4 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>In the first test case of the example, all the icons can be placed on three screens of size $$$4$$$: a screen with $$$4$$$ icons of the category $$$1$$$, a screen with $$$3$$$ icons of the category $$$1$$$, and a screen with $$$4$$$ icons of the category $$$5$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=J]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "*1800"]

1267K

1267

K

ru

K. Key Storage

<div class="problem-statement"><div class="header"><div class="title">K. Key Storage</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Karl is developing a key storage service. Each user has a positive integer key.</p><p>Karl knows that storing keys in plain text is bad practice. So, instead of storing a key, he decided to store a fingerprint of a key. However, using some existing fingerprint algorithm looked too boring to him, so he invented his own one.</p><p>Karl's fingerprint is calculated by the following process: divide the given integer by 2, then divide the result by 3, then divide the result by 4, and so on, until we get a result that equals zero (we are speaking about integer division each time). The fingerprint is defined as the multiset of the remainders of these divisions. </p><p>For example, this is how Karl's fingerprint algorithm is applied to the key 11: 11 divided by 2 has remainder 1 and result 5, then 5 divided by 3 has remainder 2 and result 1, and 1 divided by 4 has remainder 1 and result 0. Thus, the key 11 produces the sequence of remainders $$$[1, 2, 1]$$$ and has the fingerprint multiset $$$\{1, 1, 2\}$$$.</p><p>Ksenia wants to prove that Karl's fingerprint algorithm is not very good. For example, she found that both keys 178800 and 123456 produce the fingerprint of $$$\{0, 0, 0, 0, 2, 3, 3, 4\}$$$. Thus, users are at risk of fingerprint collision with some commonly used and easy to guess keys like 123456.</p><p>Ksenia wants to make her words more persuasive. She wants to calculate the number of other keys that have the same fingerprint as the keys in the given list of some commonly used keys. Your task is to help her.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains an integer $$$t$$$ ($$$1 \le t \le 50\,000$$$) — the number of commonly used keys to examine. Each of the next $$$t$$$ lines contains one integer $$$k_i$$$ ($$$1 \le k_i \le 10^{18}$$$) — the key itself. </p></div><div class="output-specification"><div class="section-title">Output</div><p>For each of the keys print one integer — the number of other keys that have the same fingerprint. </p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 1 11 123456 </pre></div><div class="output"><div class="title">Output</div><pre> 0 1 127 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>The other key with the same fingerprint as 11 is 15. 15 produces a sequence of remainders $$$[1, 1, 2]$$$. So both numbers have the fingerprint multiset $$$\{1, 1, 2\}$$$.</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="K" data-uuid="ps_dcbb4336c164c976e03441fe3ad6f081dc40c2f9"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">K. Key Storage</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Karl is developing a key storage service. Each user has a positive integer key.</p><p>Karl knows that storing keys in plain text is bad practice. So, instead of storing a key, he decided to store a fingerprint of a key. However, using some existing fingerprint algorithm looked too boring to him, so he invented his own one.</p><p>Karl's fingerprint is calculated by the following process: divide the given integer by 2, then divide the result by 3, then divide the result by 4, and so on, until we get a result that equals zero (we are speaking about integer division each time). The fingerprint is defined as the multiset of the remainders of these divisions. </p><p>For example, this is how Karl's fingerprint algorithm is applied to the key 11: 11 divided by 2 has remainder 1 and result 5, then 5 divided by 3 has remainder 2 and result 1, and 1 divided by 4 has remainder 1 and result 0. Thus, the key 11 produces the sequence of remainders $$$[1, 2, 1]$$$ and has the fingerprint multiset $$$\{1, 1, 2\}$$$.</p><p>Ksenia wants to prove that Karl's fingerprint algorithm is not very good. For example, she found that both keys 178800 and 123456 produce the fingerprint of $$$\{0, 0, 0, 0, 2, 3, 3, 4\}$$$. Thus, users are at risk of fingerprint collision with some commonly used and easy to guess keys like 123456.</p><p>Ksenia wants to make her words more persuasive. She wants to calculate the number of other keys that have the same fingerprint as the keys in the given list of some commonly used keys. Your task is to help her.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains an integer $$$t$$$ ($$$1 \le t \le 50\,000$$$) — the number of commonly used keys to examine. Each of the next $$$t$$$ lines contains one integer $$$k_i$$$ ($$$1 \le k_i \le 10^{18}$$$) — the key itself. </p></div><div class="output-specification"><div class="section-title">Output</div><p>For each of the keys print one integer — the number of other keys that have the same fingerprint. </p></div><div class="sample-tests"><div class="section-title">Example</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 1 11 123456 </pre></div><div class="output"><div class="title">Output</div><pre> 0 1 127 </pre></div></div></div><div class="note"><div class="section-title">Note</div><p>The other key with the same fingerprint as 11 is 15. 15 produces a sequence of remainders $$$[1, 1, 2]$$$. 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["\u041a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "*2100"]

1267L

1267

L

ru

L. Lexicography

<div class="problem-statement"><div class="header"><div class="title">L. Lexicography</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Lucy likes letters. She studied the definition of the lexicographical order at school and plays with it.</p><p>At first, she tried to construct the lexicographically smallest word out of given letters. It was so easy! Then she tried to build multiple words and minimize one of them. This was much harder!</p><p>Formally, Lucy wants to make $$$n$$$ words of length $$$l$$$ each out of the given $$$n \cdot l$$$ letters, so that the $$$k$$$-th of them in the lexicographic order is lexicographically as small as possible.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains three integers $$$n$$$, $$$l$$$, and $$$k$$$ ($$$1\le k \le n \le 1\,000$$$; $$$1 \le l \le 1\,000$$$) — the total number of words, the length of each word, and the index of the word Lucy wants to minimize.</p><p>The next line contains a string of $$$n \cdot l$$$ lowercase letters of the English alphabet.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Output $$$n$$$ words of $$$l$$$ letters each, one per line, using the letters from the input. Words must be sorted in the lexicographic order, and the $$$k$$$-th of them must be lexicographically as small as possible. If there are multiple answers with the smallest $$$k$$$-th word, output any of them.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 2 2 abcdef </pre></div><div class="output"><div class="title">Output</div><pre> af bc ed</pre></div><div class="input"><div class="title">Input</div><pre> 2 3 1 abcabc </pre></div><div class="output"><div class="title">Output</div><pre> aab bcc </pre></div></div></div></div>

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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="https://codeforces.com/blog/entry/71764" title="71764" target="_blank">Анонс <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9993" resourceName="71764" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="http://nerc.itmo.ru/archive/2019/nerc-2019-tutorial.pdf" title="nerc-2019-tutorial.pdf" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="9992" resourceName="nerc-2019-tutorial.pdf" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1267">Задачи</a></li> <li><a href="/contest/1267/submit">Отослать</a></li> <li><a href="/contest/1267/my">Мои посылки</a></li> <li><a href="/contest/1267/status">Статус</a></li> <li><a href="/contest/1267/standings">Положение</a></li> <li><a href="/contest/1267/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="L" data-uuid="ps_9cd2d32694b81ca52ae45aaf5981170654c22154"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">L. Lexicography</div><div class="time-limit"><div class="property-title">time limit per test</div>3 seconds</div><div class="memory-limit"><div class="property-title">memory limit per test</div>512 megabytes</div><div class="input-file"><div class="property-title">input</div>standard input</div><div class="output-file"><div class="property-title">output</div>standard output</div></div><div><p>Lucy likes letters. She studied the definition of the lexicographical order at school and plays with it.</p><p>At first, she tried to construct the lexicographically smallest word out of given letters. It was so easy! Then she tried to build multiple words and minimize one of them. This was much harder!</p><p>Formally, Lucy wants to make $$$n$$$ words of length $$$l$$$ each out of the given $$$n \cdot l$$$ letters, so that the $$$k$$$-th of them in the lexicographic order is lexicographically as small as possible.</p></div><div class="input-specification"><div class="section-title">Input</div><p>The first line contains three integers $$$n$$$, $$$l$$$, and $$$k$$$ ($$$1\le k \le n \le 1\,000$$$; $$$1 \le l \le 1\,000$$$) — the total number of words, the length of each word, and the index of the word Lucy wants to minimize.</p><p>The next line contains a string of $$$n \cdot l$$$ lowercase letters of the English alphabet.</p></div><div class="output-specification"><div class="section-title">Output</div><p>Output $$$n$$$ words of $$$l$$$ letters each, one per line, using the letters from the input. Words must be sorted in the lexicographic order, and the $$$k$$$-th of them must be lexicographically as small as possible. If there are multiple answers with the smallest $$$k$$$-th word, output any of them.</p></div><div class="sample-tests"><div class="section-title">Examples</div><div class="sample-test"><div class="input"><div class="title">Input</div><pre> 3 2 2 abcdef </pre></div><div class="output"><div class="title">Output</div><pre> af bc ed</pre></div><div class="input"><div class="title">Input</div><pre> 2 3 1 abcabc </pre></div><div class="output"><div class="title">Output</div><pre> aab bcc </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=L]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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["\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u0441\u0442\u0440\u043e\u043a\u0438", "*1800"]

1268A

1268

A

ru

A. Длинное красивое число

<div class="problem-statement"><div class="header"><div class="title">A. Длинное красивое число </div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано положительное целое число $$$x$$$ из $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$, которые составляют его десятичную запись в порядке слева направо.</p><p>А также, вам дано положительное целое число $$$k < n$$$.</p><p>Назовем число $$$b_1, b_2, \ldots, b_m$$$ <span class="tex-font-style-bf">красивым</span> если $$$b_i = b_{i+k}$$$ для всех $$$i$$$, что $$$1 \leq i \leq m - k$$$.</p><p>Вам необходимо найти минимальное <span class="tex-font-style-bf">красивое</span> целое число $$$y$$$, что $$$y \geq x$$$. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n, k$$$ ($$$2 \leq n \leq 200\,000, 1 \leq k < n$$$): количество цифр в $$$x$$$ и $$$k$$$.</p><p>В следующей строке записаны $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \neq 0$$$, $$$0 \leq a_i \leq 9$$$): цифры $$$x$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите одно целое число $$$m$$$: количество цифр в $$$y$$$.</p><p>В следующей строке выведите $$$m$$$ цифр $$$b_1, b_2, \ldots, b_m$$$ ($$$b_1 \neq 0$$$, $$$0 \leq b_i \leq 9$$$): цифры $$$y$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 2 353 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 353 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 2 1234 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 1313 </pre></div></div></div></div>

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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Префикс- и Z-функции, суффиксные структуры, алгоритм Кнута-Морриса-Пратта и др."> строки </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *1700 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='f6f34ac090ec8b43126ad3ba99ae9196'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="499892"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='f6f34ac090ec8b43126ad3ba99ae9196'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="499892"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10120:10121" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10129" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1268">Задачи</a></li> <li><a href="/contest/1268/submit">Отослать</a></li> <li><a href="/contest/1268/my">Мои посылки</a></li> <li><a href="/contest/1268/status">Статус</a></li> <li><a href="/contest/1268/hacks">Взломы</a></li> <li><a href="/contest/1268/room/1">Комната</a></li> <li><a href="/contest/1268/standings">Положение</a></li> <li><a href="/contest/1268/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_9e071f058bb63b7ab705e484ad688c3d6a4608ba"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Длинное красивое число </div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано положительное целое число $$$x$$$ из $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$, которые составляют его десятичную запись в порядке слева направо.</p><p>А также, вам дано положительное целое число $$$k < n$$$.</p><p>Назовем число $$$b_1, b_2, \ldots, b_m$$$ <span class="tex-font-style-bf">красивым</span> если $$$b_i = b_{i+k}$$$ для всех $$$i$$$, что $$$1 \leq i \leq m - k$$$.</p><p>Вам необходимо найти минимальное <span class="tex-font-style-bf">красивое</span> целое число $$$y$$$, что $$$y \geq x$$$. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n, k$$$ ($$$2 \leq n \leq 200\,000, 1 \leq k < n$$$): количество цифр в $$$x$$$ и $$$k$$$.</p><p>В следующей строке записаны $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \neq 0$$$, $$$0 \leq a_i \leq 9$$$): цифры $$$x$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите одно целое число $$$m$$$: количество цифр в $$$y$$$.</p><p>В следующей строке выведите $$$m$$$ цифр $$$b_1, b_2, \ldots, b_m$$$ ($$$b_1 \neq 0$$$, $$$0 \leq b_i \leq 9$$$): цифры $$$y$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 2 353 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 353 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 2 1234 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 1313 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); 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["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "\u0441\u0442\u0440\u043e\u043a\u0438", "*1700"]

1268B

1268

B

ru

B. Домино для молодых

<div class="problem-statement"><div class="header"><div class="title">B. Домино для молодых</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана диаграмма Юнга. </p><p>Данная диаграмма это гистограмма с $$$n$$$ столбцами длин $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \geq a_2 \geq \ldots \geq a_n \geq 1$$$).</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/94e21a4955f87bc6a87fae2c191cb199091d11b4.png" style="max-width: 100.0%;max-height: 100.0%;"/> <span class="tex-font-size-small">Диаграмма Юнга для $$$a=[3,2,2,2,1]$$$.</span> </center><p>Ваша задача — найти наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри этой диаграммы, домино это прямоугольник $$$1 \times 2$$$ или $$$2 \times 1$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 300\,000$$$): количество столбцов в данной гистограмме.</p><p>В следующей строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \leq a_i \leq 300\,000, a_i \geq a_{i+1}$$$): длины столбцов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число: наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри данной диаграммы Юнга.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 3 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Некоторые возможные решения для первого примера:</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/a16580ae80f17ddfd658d64fefe83b64e0ef0882.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img class="tex-graphics" src="https://espresso.codeforces.com/27f74eae955e98b8a7b95f87b92cbbb8491af1e0.png" style="max-width: 100.0%;max-height: 100.0%;"/></p></div></div>

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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *2000 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='0ceff2f9d1c6315c2d0d67b98aeda379'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="499893"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='0ceff2f9d1c6315c2d0d67b98aeda379'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="499893"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10120:10121" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10129" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1268">Задачи</a></li> <li><a href="/contest/1268/submit">Отослать</a></li> <li><a href="/contest/1268/my">Мои посылки</a></li> <li><a href="/contest/1268/status">Статус</a></li> <li><a href="/contest/1268/hacks">Взломы</a></li> <li><a href="/contest/1268/room/1">Комната</a></li> <li><a href="/contest/1268/standings">Положение</a></li> <li><a href="/contest/1268/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_9a6d9913c186cba8e6b5efd3b8b0bce917b10ed3"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Домино для молодых</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана диаграмма Юнга. </p><p>Данная диаграмма это гистограмма с $$$n$$$ столбцами длин $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \geq a_2 \geq \ldots \geq a_n \geq 1$$$).</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/94e21a4955f87bc6a87fae2c191cb199091d11b4.png" style="max-width: 100.0%;max-height: 100.0%;" /> <span class="tex-font-size-small">Диаграмма Юнга для $$$a=[3,2,2,2,1]$$$.</span> </center><p>Ваша задача — найти наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри этой диаграммы, домино это прямоугольник $$$1 \times 2$$$ или $$$2 \times 1$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 300\,000$$$): количество столбцов в данной гистограмме.</p><p>В следующей строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \leq a_i \leq 300\,000, a_i \geq a_{i+1}$$$): длины столбцов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число: наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри данной диаграммы Юнга.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 3 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Некоторые возможные решения для первого примера:</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/a16580ae80f17ddfd658d64fefe83b64e0ef0882.png" style="max-width: 100.0%;max-height: 100.0%;" /> <img class="tex-graphics" src="https://espresso.codeforces.com/27f74eae955e98b8a7b95f87b92cbbb8491af1e0.png" style="max-width: 100.0%;max-height: 100.0%;" /></p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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["\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u043f", "\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "*2000"]

1268C

1268

C

ru

C. K целых чисел

<div class="problem-statement"><div class="header"><div class="title">C. K целых чисел</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана перестановка $$$p_1, p_2, \ldots, p_n$$$.</p><p>За одно действие вы можете поменять местами два соседних элемента.</p><p>Вы хотите сделать как можно меньше действий, чтобы в конце в перестановке был подотрезок $$$1,2,\ldots, k$$$, иначе говоря, в конце должен существовать индекс $$$i$$$, $$$1 \leq i \leq n-k+1$$$, что $$$p_i = 1, p_{i+1} = 2, \ldots, p_{i+k-1}=k$$$.</p><p>Обозначим за $$$f(k)$$$ минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке.</p><p>Вам нужно найти $$$f(1), f(2), \ldots, f(n)$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 200\,000$$$): количество элементов в перестановке.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$: данная перестановка ($$$1 \leq p_i \leq n$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел, минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке, для $$$k=1, 2, \ldots, n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 5 4 3 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 3 6 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 1 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 0 0 </pre></div></div></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10120:10121" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10129" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1268">Задачи</a></li> <li><a href="/contest/1268/submit">Отослать</a></li> <li><a href="/contest/1268/my">Мои посылки</a></li> <li><a href="/contest/1268/status">Статус</a></li> <li><a href="/contest/1268/hacks">Взломы</a></li> <li><a href="/contest/1268/room/1">Комната</a></li> <li><a href="/contest/1268/standings">Положение</a></li> <li><a href="/contest/1268/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_558252b9bb6e624baa2228830af8d8aa57cd1d5c"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. K целых чисел</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана перестановка $$$p_1, p_2, \ldots, p_n$$$.</p><p>За одно действие вы можете поменять местами два соседних элемента.</p><p>Вы хотите сделать как можно меньше действий, чтобы в конце в перестановке был подотрезок $$$1,2,\ldots, k$$$, иначе говоря, в конце должен существовать индекс $$$i$$$, $$$1 \leq i \leq n-k+1$$$, что $$$p_i = 1, p_{i+1} = 2, \ldots, p_{i+k-1}=k$$$.</p><p>Обозначим за $$$f(k)$$$ минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке.</p><p>Вам нужно найти $$$f(1), f(2), \ldots, f(n)$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 200\,000$$$): количество элементов в перестановке.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$: данная перестановка ($$$1 \leq p_i \leq n$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел, минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке, для $$$k=1, 2, \ldots, n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 5 4 3 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 3 6 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 1 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 0 0 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); 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["\u0411\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0431\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*2300"]

1268D

1268

D

ru

D. Инвертирования в турнире

<div class="problem-statement"><div class="header"><div class="title">D. Инвертирования в турнире</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дан турнир — полный ориентированный граф.</p><p>За одну операцию вы можете взять любую вершину $$$v$$$ и поменять направления всех ребер с $$$v$$$ на одном из концов (таким образом все ребра $$$u \to v$$$ меняют направление на $$$v \to u$$$ и наоборот). </p><p>Вам нужно сделать турнир сильно связным за минимальное количество таких операций. </p><p>А также, если это возможно, вам необходимо посчитать количество способов сделать турнир сильно связным за такое число операций (два способа отличаются, если для какого-то $$$i$$$, вершина выбранная на $$$i$$$-й операции одного способа, отличается от вершины выбранной на $$$i$$$-й операции другого способа). Вам нужно найти остаток от деления этой величины на $$$998\,244\,353$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$3 \leq n \leq 2000$$$): количество вершин в турнире.</p><p>Следующие $$$n$$$ строк содержат описания ребер турнира, каждая из них содержит бинарную строку длины $$$n$$$. Если $$$j$$$-й символ $$$i$$$-й строки равен '1', тогда в графе есть ребро $$$i \to j$$$.</p><p>Гарантируется, что в графе нет ребер $$$i \to i$$$ и в графе есть <span class="tex-font-style-bf">ровно одно</span> ребро среди $$$i \to j$$$ и $$$j \to i$$$ для разных $$$i$$$ и $$$j$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно сделать турнир сильно связным за такое количество операций, выведите «-1».</p><p>Иначе, выведите два целых числа: минимальное количество операций, которое нужно, чтобы сделать турнир сильно связным и количество способов сделать турнир сильно связным за такое число операций, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 010 001 100 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 0010 1000 0100 1110 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 010000 001000 100000 111001 111100 111010 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 18 </pre></div></div></div></div>

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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Разделяй и властвуй"> разделяй и властвуй </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *3200 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='eaa9fdd0ecf30f0ee757584f38beefee'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="499895"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='eaa9fdd0ecf30f0ee757584f38beefee'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="499895"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10120:10121" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10129" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1268">Задачи</a></li> <li><a href="/contest/1268/submit">Отослать</a></li> <li><a href="/contest/1268/my">Мои посылки</a></li> <li><a href="/contest/1268/status">Статус</a></li> <li><a href="/contest/1268/hacks">Взломы</a></li> <li><a href="/contest/1268/room/1">Комната</a></li> <li><a href="/contest/1268/standings">Положение</a></li> <li><a href="/contest/1268/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_a804aad8d0486ffcf84f2f75fb030e08a61b8c11"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Инвертирования в турнире</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дан турнир — полный ориентированный граф.</p><p>За одну операцию вы можете взять любую вершину $$$v$$$ и поменять направления всех ребер с $$$v$$$ на одном из концов (таким образом все ребра $$$u \to v$$$ меняют направление на $$$v \to u$$$ и наоборот). </p><p>Вам нужно сделать турнир сильно связным за минимальное количество таких операций. </p><p>А также, если это возможно, вам необходимо посчитать количество способов сделать турнир сильно связным за такое число операций (два способа отличаются, если для какого-то $$$i$$$, вершина выбранная на $$$i$$$-й операции одного способа, отличается от вершины выбранной на $$$i$$$-й операции другого способа). Вам нужно найти остаток от деления этой величины на $$$998\,244\,353$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$3 \leq n \leq 2000$$$): количество вершин в турнире.</p><p>Следующие $$$n$$$ строк содержат описания ребер турнира, каждая из них содержит бинарную строку длины $$$n$$$. Если $$$j$$$-й символ $$$i$$$-й строки равен '1', тогда в графе есть ребро $$$i \to j$$$.</p><p>Гарантируется, что в графе нет ребер $$$i \to i$$$ и в графе есть <span class="tex-font-style-bf">ровно одно</span> ребро среди $$$i \to j$$$ и $$$j \to i$$$ для разных $$$i$$$ и $$$j$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно сделать турнир сильно связным за такое количество операций, выведите «-1».</p><p>Иначе, выведите два целых числа: минимальное количество операций, которое нужно, чтобы сделать турнир сильно связным и количество способов сделать турнир сильно связным за такое число операций, по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 010 001 100 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 0010 1000 0100 1110 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 010000 001000 100000 111001 111100 111010 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 18 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); 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["\u0413\u0440\u0430\u0444\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u041f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0420\u0430\u0437\u0434\u0435\u043b\u044f\u0439 \u0438 \u0432\u043b\u0430\u0441\u0442\u0432\u0443\u0439", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0433\u0440\u0430\u0444\u044b", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0440\u0430\u0437\u0434\u0435\u043b\u044f\u0439 \u0438 \u0432\u043b\u0430\u0441\u0442\u0432\u0443\u0439", "*3200"]

1268E

1268

E

ru

E. Счастливый кактус

<div class="problem-statement"><div class="header"><div class="title">E. Счастливый кактус</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дан кактус, это граф, где каждое ребро лежит не более чем на одном простом цикле.</p><p>Он дан в виде $$$m$$$ ребер $$$a_i, b_i$$$, вес $$$i$$$-го ребра равен $$$i$$$.</p><p>Назовем путь в кактусе <span class="tex-font-style-bf">возрастающим</span> если веса ребер на этом пути возрастают.</p><p>Назовем пару вершин $$$(u,v)$$$ <span class="tex-font-style-bf">счастливой</span> если существует возрастающий путь, который начинается в $$$u$$$ и кончается в $$$v$$$.</p><p>Для каждой вершины $$$u$$$ найдите количество других вершин $$$v$$$, что пара $$$(u,v)$$$ счастливая.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n,m$$$ ($$$1 \leq n, m \leq 500\,000$$$): количество вершин и ребер в данном кактусе.</p><p>Следующие $$$m$$$ строк содержат описания ребер кактуса, $$$i$$$-я из них содержит два целых числа $$$a_i, b_i$$$ ($$$1 \leq a_i, b_i \leq n, a_i \neq b_i$$$).</p><p>Гарантируется, что граф связен и в нем нет кратных ребер.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел, необходимые значения для вершин $$$1,2,\ldots,n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 2 2 3 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 2 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 4 1 2 2 3 3 4 4 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 4 3 2 1 </pre></div></div></div></div>

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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10120:10121" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10129" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/81027/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1268">Задачи</a></li> <li><a href="/contest/1268/submit">Отослать</a></li> <li><a href="/contest/1268/my">Мои посылки</a></li> <li><a href="/contest/1268/status">Статус</a></li> <li><a href="/contest/1268/hacks">Взломы</a></li> <li><a href="/contest/1268/room/1">Комната</a></li> <li><a href="/contest/1268/standings">Положение</a></li> <li><a href="/contest/1268/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_ed20e00de4106034f10721ac7880a7449f244dd0"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Счастливый кактус</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дан кактус, это граф, где каждое ребро лежит не более чем на одном простом цикле.</p><p>Он дан в виде $$$m$$$ ребер $$$a_i, b_i$$$, вес $$$i$$$-го ребра равен $$$i$$$.</p><p>Назовем путь в кактусе <span class="tex-font-style-bf">возрастающим</span> если веса ребер на этом пути возрастают.</p><p>Назовем пару вершин $$$(u,v)$$$ <span class="tex-font-style-bf">счастливой</span> если существует возрастающий путь, который начинается в $$$u$$$ и кончается в $$$v$$$.</p><p>Для каждой вершины $$$u$$$ найдите количество других вершин $$$v$$$, что пара $$$(u,v)$$$ счастливая.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n,m$$$ ($$$1 \leq n, m \leq 500\,000$$$): количество вершин и ребер в данном кактусе.</p><p>Следующие $$$m$$$ строк содержат описания ребер кактуса, $$$i$$$-я из них содержит два целых числа $$$a_i, b_i$$$ ($$$1 \leq a_i, b_i \leq n, a_i \neq b_i$$$).</p><p>Гарантируется, что граф связен и в нем нет кратных ребер.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел, необходимые значения для вершин $$$1,2,\ldots,n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 3 1 2 2 3 3 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 2 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 4 1 2 2 3 3 4 4 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 4 3 2 1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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["\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u043f", "*3400"]

1269A

1269

A

ru

A. Уравнение

<div class="problem-statement"><div class="header"><div class="title">A. Уравнение</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Назовем положительное целое число <span class="tex-font-style-bf">составным</span> если у него есть хотя бы один делитель кроме $$$1$$$ и себя. Например:</p><ul> <li> следующие числа являются составными: $$$1024$$$, $$$4$$$, $$$6$$$, $$$9$$$; </li><li> cледующие числа не являются составными: $$$13$$$, $$$1$$$, $$$2$$$, $$$3$$$, $$$37$$$. </li></ul><p>Вам дано положительное целое число $$$n$$$. Найдите два составных числа $$$a,b$$$, что $$$a-b=n$$$.</p><p>Гарантируется, что это возможно.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Входные данные содержат одно целое число $$$n$$$ ($$$1 \leq n \leq 10^7$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите два составных числа $$$a,b$$$ ($$$2 \leq a, b \leq 10^9, a-b=n$$$).</p><p>Гарантируется, что решение существует. Если возможных решений несколько, вы можете вывести любое.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 8 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 512 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4608 4096 </pre></div></div></div></div>

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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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params[key] = value; } }); $.post(dataPageUrl, params, function (result) { if (result["success"] !== "true") { Codeforces.showMessage("Не удалось сохранить состояние блока."); } }, "json"); return false; }); }) </script> </div> <div class="roundbox sidebox borderTopRound " style=""> <div class="caption titled">→ Теги задачи <div class="top-links"> </div> </div> <div style="padding: 0.5em;"> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Интегрирование, диффуры и др."> математика </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Перебор"> перебор </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *800 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='31fd53920df4853f459027b7f678ad4f'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="499887"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='31fd53920df4853f459027b7f678ad4f'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="499887"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10122:10123" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10135" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1269">Задачи</a></li> <li><a href="/contest/1269/submit">Отослать</a></li> <li><a href="/contest/1269/my">Мои посылки</a></li> <li><a href="/contest/1269/status">Статус</a></li> <li><a href="/contest/1269/hacks">Взломы</a></li> <li><a href="/contest/1269/room/1">Комната</a></li> <li><a href="/contest/1269/standings">Положение</a></li> <li><a href="/contest/1269/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_b00893f759ec1f12b366434d9f334d8ed32e9884"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Уравнение</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Назовем положительное целое число <span class="tex-font-style-bf">составным</span> если у него есть хотя бы один делитель кроме $$$1$$$ и себя. Например:</p><ul> <li> следующие числа являются составными: $$$1024$$$, $$$4$$$, $$$6$$$, $$$9$$$; </li><li> cледующие числа не являются составными: $$$13$$$, $$$1$$$, $$$2$$$, $$$3$$$, $$$37$$$. </li></ul><p>Вам дано положительное целое число $$$n$$$. Найдите два составных числа $$$a,b$$$, что $$$a-b=n$$$.</p><p>Гарантируется, что это возможно.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Входные данные содержат одно целое число $$$n$$$ ($$$1 \leq n \leq 10^7$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите два составных числа $$$a,b$$$ ($$$2 \leq a, b \leq 10^9, a-b=n$$$).</p><p>Гарантируется, что решение существует. Если возможных решений несколько, вы можете вывести любое.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 9 8 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 512 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4608 4096 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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["\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u041f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "*800"]

1269B

1269

B

ru

B. Равенство по модулю

<div class="problem-statement"><div class="header"><div class="title">B. Равенство по модулю</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано положительное целое число $$$m$$$ и две последовательности положительных целых чисел: $$$a=[a_1, a_2, \ldots, a_n]$$$ и $$$b=[b_1, b_2, \ldots, b_n]$$$. Обе последовательности имеют одинаковую длину $$$n$$$.</p><p>Напомним, что перестановкой называется последовательность из $$$n$$$ различных положительных чисел от $$$1$$$ до $$$n$$$. Например, следующие последовательности являются перестановками: $$$[1]$$$, $$$[1,2]$$$, $$$[2,1]$$$, $$$[6,7,3,4,1,2,5]$$$. Следующие последовательности перестановками не являются: $$$[0]$$$, $$$[1,1]$$$, $$$[2,3]$$$.</p><p>Вам нужно найти неотрицательное целое число $$$x$$$, увеличить все элементы $$$a_i$$$ на $$$x$$$, по модулю $$$m$$$ (другими словами, вы заменяете $$$a_i$$$ на $$$(a_i + x) \bmod m$$$), чтобы было возможно переставить элементы последовательности $$$a$$$, чтобы она стала равна $$$b$$$, среди таких нужно найти минимально возможное $$$x$$$.</p><p>Иначе говоря, вам необходимо найти наименьшее неотрицательное целое число $$$x$$$, для которого возможно найти какую-то перестановку $$$p=[p_1, p_2, \ldots, p_n]$$$, что для всех $$$1 \leq i \leq n$$$, $$$(a_i + x) \bmod m = b_{p_i}$$$, где $$$y \bmod m$$$ — остаток при делении $$$y$$$ на $$$m$$$.</p><p>Например, если $$$m=3$$$, $$$a = [0, 0, 2, 1], b = [2, 0, 1, 1]$$$, вы можете выбрать $$$x=1$$$, и $$$a$$$ будет равна $$$[1, 1, 0, 2]$$$, вы можете переставить элементы, чтобы получить $$$[2, 0, 1, 1]$$$, что равно последовательности $$$b$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n,m$$$ ($$$1 \leq n \leq 2000, 1 \leq m \leq 10^9$$$): количество элементов в последовательности $$$m$$$.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \ldots, a_n$$$ ($$$0 \leq a_i < m$$$).</p><p>В третьей строке записаны $$$n$$$ целых чисел $$$b_1, b_2, \ldots, b_n$$$ ($$$0 \leq b_i < m$$$).</p><p>Гарантируется, что можно найти неотрицательное целое число $$$x$$$, для которого возможно найти какую-то перестановку $$$p_1, p_2, \ldots, p_n$$$, что $$$(a_i + x) \bmod m = b_{p_i}$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите наименьшее неотрицательное целое число $$$x$$$, для которого возможно найти какую-то перестановку $$$p_1, p_2, \ldots, p_n$$$, что $$$(a_i + x) \bmod m = b_{p_i}$$$ для всех $$$1 \leq i \leq n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 0 0 2 1 2 0 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 2 0 0 0 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 10 0 0 0 1 2 2 1 0 0 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div></div></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10122:10123" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10135" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1269">Задачи</a></li> <li><a href="/contest/1269/submit">Отослать</a></li> <li><a href="/contest/1269/my">Мои посылки</a></li> <li><a href="/contest/1269/status">Статус</a></li> <li><a href="/contest/1269/hacks">Взломы</a></li> <li><a href="/contest/1269/room/1">Комната</a></li> <li><a href="/contest/1269/standings">Положение</a></li> <li><a href="/contest/1269/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_405118a6765776acd1aa8c2b21700dbb7b19d9b2"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Равенство по модулю</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано положительное целое число $$$m$$$ и две последовательности положительных целых чисел: $$$a=[a_1, a_2, \ldots, a_n]$$$ и $$$b=[b_1, b_2, \ldots, b_n]$$$. Обе последовательности имеют одинаковую длину $$$n$$$.</p><p>Напомним, что перестановкой называется последовательность из $$$n$$$ различных положительных чисел от $$$1$$$ до $$$n$$$. Например, следующие последовательности являются перестановками: $$$[1]$$$, $$$[1,2]$$$, $$$[2,1]$$$, $$$[6,7,3,4,1,2,5]$$$. Следующие последовательности перестановками не являются: $$$[0]$$$, $$$[1,1]$$$, $$$[2,3]$$$.</p><p>Вам нужно найти неотрицательное целое число $$$x$$$, увеличить все элементы $$$a_i$$$ на $$$x$$$, по модулю $$$m$$$ (другими словами, вы заменяете $$$a_i$$$ на $$$(a_i + x) \bmod m$$$), чтобы было возможно переставить элементы последовательности $$$a$$$, чтобы она стала равна $$$b$$$, среди таких нужно найти минимально возможное $$$x$$$.</p><p>Иначе говоря, вам необходимо найти наименьшее неотрицательное целое число $$$x$$$, для которого возможно найти какую-то перестановку $$$p=[p_1, p_2, \ldots, p_n]$$$, что для всех $$$1 \leq i \leq n$$$, $$$(a_i + x) \bmod m = b_{p_i}$$$, где $$$y \bmod m$$$ — остаток при делении $$$y$$$ на $$$m$$$.</p><p>Например, если $$$m=3$$$, $$$a = [0, 0, 2, 1], b = [2, 0, 1, 1]$$$, вы можете выбрать $$$x=1$$$, и $$$a$$$ будет равна $$$[1, 1, 0, 2]$$$, вы можете переставить элементы, чтобы получить $$$[2, 0, 1, 1]$$$, что равно последовательности $$$b$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n,m$$$ ($$$1 \leq n \leq 2000, 1 \leq m \leq 10^9$$$): количество элементов в последовательности $$$m$$$.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \ldots, a_n$$$ ($$$0 \leq a_i < m$$$).</p><p>В третьей строке записаны $$$n$$$ целых чисел $$$b_1, b_2, \ldots, b_n$$$ ($$$0 \leq b_i < m$$$).</p><p>Гарантируется, что можно найти неотрицательное целое число $$$x$$$, для которого возможно найти какую-то перестановку $$$p_1, p_2, \ldots, p_n$$$, что $$$(a_i + x) \bmod m = b_{p_i}$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите наименьшее неотрицательное целое число $$$x$$$, для которого возможно найти какую-то перестановку $$$p_1, p_2, \ldots, p_n$$$, что $$$(a_i + x) \bmod m = b_{p_i}$$$ для всех $$$1 \leq i \leq n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 0 0 2 1 2 0 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 2 0 0 0 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 10 0 0 0 1 2 2 1 0 0 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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["\u041f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438, \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u0438\u044f", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438", "*1500"]

1269C

1269

C

ru

C. Длинное красивое число

<div class="problem-statement"><div class="header"><div class="title">C. Длинное красивое число </div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано положительное целое число $$$x$$$ из $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$, которые составляют его десятичную запись в порядке слева направо.</p><p>А также, вам дано положительное целое число $$$k < n$$$.</p><p>Назовем число $$$b_1, b_2, \ldots, b_m$$$ <span class="tex-font-style-bf">красивым</span> если $$$b_i = b_{i+k}$$$ для всех $$$i$$$, что $$$1 \leq i \leq m - k$$$.</p><p>Вам необходимо найти минимальное <span class="tex-font-style-bf">красивое</span> целое число $$$y$$$, что $$$y \geq x$$$. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n, k$$$ ($$$2 \leq n \leq 200\,000, 1 \leq k < n$$$): количество цифр в $$$x$$$ и $$$k$$$.</p><p>В следующей строке записаны $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \neq 0$$$, $$$0 \leq a_i \leq 9$$$): цифры $$$x$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите одно целое число $$$m$$$: количество цифр в $$$y$$$.</p><p>В следующей строке выведите $$$m$$$ цифр $$$b_1, b_2, \ldots, b_m$$$ ($$$b_1 \neq 0$$$, $$$0 \leq b_i \leq 9$$$): цифры $$$y$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 2 353 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 353 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 2 1234 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 1313 </pre></div></div></div></div>

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background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *1700 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='4e6ce98537fa96bb5f3b1ef1c2bc8b55'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="499889"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='4e6ce98537fa96bb5f3b1ef1c2bc8b55'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="499889"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10122:10123" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10135" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1269">Задачи</a></li> <li><a href="/contest/1269/submit">Отослать</a></li> <li><a href="/contest/1269/my">Мои посылки</a></li> <li><a href="/contest/1269/status">Статус</a></li> <li><a href="/contest/1269/hacks">Взломы</a></li> <li><a href="/contest/1269/room/1">Комната</a></li> <li><a href="/contest/1269/standings">Положение</a></li> <li><a href="/contest/1269/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_5da94cac36771cec148d0bf64b6c2f683b7970bc"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Длинное красивое число </div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано положительное целое число $$$x$$$ из $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$, которые составляют его десятичную запись в порядке слева направо.</p><p>А также, вам дано положительное целое число $$$k < n$$$.</p><p>Назовем число $$$b_1, b_2, \ldots, b_m$$$ <span class="tex-font-style-bf">красивым</span> если $$$b_i = b_{i+k}$$$ для всех $$$i$$$, что $$$1 \leq i \leq m - k$$$.</p><p>Вам необходимо найти минимальное <span class="tex-font-style-bf">красивое</span> целое число $$$y$$$, что $$$y \geq x$$$. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записаны два целых числа $$$n, k$$$ ($$$2 \leq n \leq 200\,000, 1 \leq k < n$$$): количество цифр в $$$x$$$ и $$$k$$$.</p><p>В следующей строке записаны $$$n$$$ цифр $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \neq 0$$$, $$$0 \leq a_i \leq 9$$$): цифры $$$x$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке выведите одно целое число $$$m$$$: количество цифр в $$$y$$$.</p><p>В следующей строке выведите $$$m$$$ цифр $$$b_1, b_2, \ldots, b_m$$$ ($$$b_1 \neq 0$$$, $$$0 \leq b_i \leq 9$$$): цифры $$$y$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 2 353 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 353 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 2 1234 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 1313 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "*1700"]

1269D

1269

D

ru

D. Домино для молодых

<div class="problem-statement"><div class="header"><div class="title">D. Домино для молодых</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана диаграмма Юнга. </p><p>Данная диаграмма это гистограмма с $$$n$$$ столбцами длин $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \geq a_2 \geq \ldots \geq a_n \geq 1$$$).</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/94e21a4955f87bc6a87fae2c191cb199091d11b4.png" style="max-width: 100.0%;max-height: 100.0%;"/> <span class="tex-font-size-small">Диаграмма Юнга для $$$a=[3,2,2,2,1]$$$.</span> </center><p>Ваша задача — найти наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри этой диаграммы, домино это прямоугольник $$$1 \times 2$$$ или $$$2 \times 1$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 300\,000$$$): количество столбцов в данной гистограмме.</p><p>В следующей строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \leq a_i \leq 300\,000, a_i \geq a_{i+1}$$$): длины столбцов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число: наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри данной диаграммы Юнга.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 3 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Некоторые возможные решения для первого примера:</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/a16580ae80f17ddfd658d64fefe83b64e0ef0882.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img class="tex-graphics" src="https://espresso.codeforces.com/27f74eae955e98b8a7b95f87b92cbbb8491af1e0.png" style="max-width: 100.0%;max-height: 100.0%;"/></p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10122:10123" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10135" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1269">Задачи</a></li> <li><a href="/contest/1269/submit">Отослать</a></li> <li><a href="/contest/1269/my">Мои посылки</a></li> <li><a href="/contest/1269/status">Статус</a></li> <li><a href="/contest/1269/hacks">Взломы</a></li> <li><a href="/contest/1269/room/1">Комната</a></li> <li><a href="/contest/1269/standings">Положение</a></li> <li><a href="/contest/1269/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_8d90e9c148b505bb5ce5d50e6ae905f28d942b9a"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Домино для молодых</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана диаграмма Юнга. </p><p>Данная диаграмма это гистограмма с $$$n$$$ столбцами длин $$$a_1, a_2, \ldots, a_n$$$ ($$$a_1 \geq a_2 \geq \ldots \geq a_n \geq 1$$$).</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/94e21a4955f87bc6a87fae2c191cb199091d11b4.png" style="max-width: 100.0%;max-height: 100.0%;" /> <span class="tex-font-size-small">Диаграмма Юнга для $$$a=[3,2,2,2,1]$$$.</span> </center><p>Ваша задача — найти наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри этой диаграммы, домино это прямоугольник $$$1 \times 2$$$ или $$$2 \times 1$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 300\,000$$$): количество столбцов в данной гистограмме.</p><p>В следующей строке записаны $$$n$$$ целых чисел $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \leq a_i \leq 300\,000, a_i \geq a_{i+1}$$$): длины столбцов.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число: наибольшее количество непересекающихся домино, которое вы можете нарисовать внутри данной диаграммы Юнга.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 3 2 2 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Некоторые возможные решения для первого примера:</p><p><img class="tex-graphics" src="https://espresso.codeforces.com/a16580ae80f17ddfd658d64fefe83b64e0ef0882.png" style="max-width: 100.0%;max-height: 100.0%;" /> <img class="tex-graphics" src="https://espresso.codeforces.com/27f74eae955e98b8a7b95f87b92cbbb8491af1e0.png" style="max-width: 100.0%;max-height: 100.0%;" /></p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); 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["\u041a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "*2000"]

1269E

1269

E

ru

E. K целых чисел

<div class="problem-statement"><div class="header"><div class="title">E. K целых чисел</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана перестановка $$$p_1, p_2, \ldots, p_n$$$.</p><p>За одно действие вы можете поменять местами два соседних элемента.</p><p>Вы хотите сделать как можно меньше действий, чтобы в конце в перестановке был подотрезок $$$1,2,\ldots, k$$$, иначе говоря, в конце должен существовать индекс $$$i$$$, $$$1 \leq i \leq n-k+1$$$, что $$$p_i = 1, p_{i+1} = 2, \ldots, p_{i+k-1}=k$$$.</p><p>Обозначим за $$$f(k)$$$ минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке.</p><p>Вам нужно найти $$$f(1), f(2), \ldots, f(n)$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 200\,000$$$): количество элементов в перестановке.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$: данная перестановка ($$$1 \leq p_i \leq n$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел, минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке, для $$$k=1, 2, \ldots, n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 5 4 3 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 3 6 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 1 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 0 0 </pre></div></div></div></div>

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params[key] = value; } }); $.post(dataPageUrl, params, function (result) { if (result["success"] !== "true") { Codeforces.showMessage("Не удалось сохранить состояние блока."); } }, "json"); return false; }); }) </script> </div> <div class="roundbox sidebox borderTopRound " style=""> <div class="caption titled">→ Теги задачи <div class="top-links"> </div> </div> <div style="padding: 0.5em;"> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Бинарный поиск"> бинарный поиск </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Кучи, деревья отрезков, деревья поиска и др."> структуры данных </span> </div> <div class="roundbox borderTopRound borderBottomRound" style="margin:2px; padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *2300 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='64a17879d4c0a4e11c33aa764c6f7aaa'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="499891"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='64a17879d4c0a4e11c33aa764c6f7aaa'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="499891"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72286" title="Codeforces Round #609, based on ByteDance — Moscow Workshops Online Contest" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10122:10123" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72358" title="Codeforces Round #609 — Editorial" target="_blank">Разбор задач <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10135" resourceName="Codeforces Round #609 — Editorial" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1269">Задачи</a></li> <li><a href="/contest/1269/submit">Отослать</a></li> <li><a href="/contest/1269/my">Мои посылки</a></li> <li><a href="/contest/1269/status">Статус</a></li> <li><a href="/contest/1269/hacks">Взломы</a></li> <li><a href="/contest/1269/room/1">Комната</a></li> <li><a href="/contest/1269/standings">Положение</a></li> <li><a href="/contest/1269/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_62a56a8033c8e592fed97dfd934233c44e9eaa46"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. K целых чисел</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дана перестановка $$$p_1, p_2, \ldots, p_n$$$.</p><p>За одно действие вы можете поменять местами два соседних элемента.</p><p>Вы хотите сделать как можно меньше действий, чтобы в конце в перестановке был подотрезок $$$1,2,\ldots, k$$$, иначе говоря, в конце должен существовать индекс $$$i$$$, $$$1 \leq i \leq n-k+1$$$, что $$$p_i = 1, p_{i+1} = 2, \ldots, p_{i+k-1}=k$$$.</p><p>Обозначим за $$$f(k)$$$ минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке.</p><p>Вам нужно найти $$$f(1), f(2), \ldots, f(n)$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$1 \leq n \leq 200\,000$$$): количество элементов в перестановке.</p><p>Во второй строке записаны $$$n$$$ целых чисел $$$p_1, p_2, \ldots, p_n$$$: данная перестановка ($$$1 \leq p_i \leq n$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел, минимальное число действий, которое нужно сделать, чтобы подотрезок $$$1,2,\ldots,k$$$ появился в перестановке, для $$$k=1, 2, \ldots, n$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 5 4 3 2 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 1 3 6 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 1 2 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 0 0 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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1270A

1270

A

ru

A. Игра с картами

<div class="problem-statement"><div class="header"><div class="title">A. Игра с картами</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Два игрока решили сыграть в интересную карточную игру.</p><p>В колоде есть $$$n$$$ карт, со стоимостями от $$$1$$$ до $$$n$$$. Стоимости всех карт <span class="tex-font-style-bf">попарно различны</span> (это значит, что нет двух карт с одинаковой стоимостью). В начале игры колода полностью распределяется между игроками каким-то образом, причем у каждого игрока есть по крайней мере одна карта. </p><p>Игра идет следующим образом: каждый ход каждый игрок выбирает одну из своих карт (которую захочет), и кладет на стол так, чтобы другой игрок не видел выбранную карту. После этого обе карты вскрываются, и игрок, стоимость карты которого была больше, забирает себе обе карты в руку. Заметьте, что так как стоимости карт различны, стоимость одной из карт будет строго больше, чем другой. Любую карту можно использовать любое количество раз. Проигрывает тот, у кого не осталось карт.</p><p>К примеру, пусть $$$n = 5$$$, у первого игрока есть карты со стоимостями $$$2$$$ и $$$3$$$, а у второго есть карты со стоимостями $$$1$$$, $$$4$$$, $$$5$$$. Ниже продемонстрирован возможный ход игры:</p><ul><li><p>Первый игрок выбирает карту $$$3$$$, второй игрок выбирает карту $$$1$$$. Так как $$$3>1$$$, первый игрок получает обе карты. Теперь у первого игрока есть карты $$$1$$$, $$$2$$$, $$$3$$$, у второго игрока есть карты $$$4$$$, $$$5$$$.</p></li><li><p>Первый игрок выбирает карту $$$3$$$, второй игрок выбирает карту $$$4$$$. Так как $$$3<4$$$, второй игрок получает обе карты. Теперь у первого игрока есть карты $$$1$$$, $$$2$$$, у второго игрока есть карты $$$3$$$, $$$4$$$, $$$5$$$</p></li><li><p>Первый игрок выбирает карту $$$1$$$, второй игрок выбирает карту $$$3$$$. Так как $$$1<3$$$, второй игрок получает обе карты. Теперь у первого игрока есть только карта $$$2$$$, у второго игрока есть карты $$$1$$$, $$$3$$$, $$$4$$$, $$$5$$$</p></li><li><p>Первый игрок выбирает карту $$$2$$$, второй игрок выбирает карту $$$4$$$. Так как $$$2<4$$$, второй игрок получает обе карты. Теперь у первого игрока не осталось карт, и он проигрывает. Как следствие, второй игрок побеждает.</p></li></ul><p>Кто победит, если оба игрока играют оптимально? Можно показать, что если каждый игрок стремится победить, то у одного из игроков есть выигрышная стратегия.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Во входных данных находятся несколько (не меньше одного) тестовых случаев. В первой строке находится одно целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество тестовых случаев. Далее следуют описания тестовых случаев.</p><p>Первая строка описания тестового случая содержит три целых числа $$$n$$$, $$$k_1$$$, $$$k_2$$$ ($$$2 \le n \le 100, 1 \le k_1 \le n - 1, 1 \le k_2 \le n - 1, k_1 + k_2 = n$$$) — количество карт, количество карт у первого игрока и второго игрока соответственно.</p><p>Вторая строка описания тестового случая содержит $$$k_1$$$ целых чисел $$$a_1, \dots, a_{k_1}$$$ ($$$1 \le a_i \le n$$$) — стоимости карт первого игрока.</p><p>Третья строка описания тестового случая содержит $$$k_2$$$ целых чисел $$$b_1, \dots, b_{k_2}$$$ ($$$1 \le b_i \le n$$$) — стоимости карт второго игрока. </p><p>Гарантируется, что все стоимости карт различны.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая, выведите «<span class="tex-font-style-tt">YES</span>» с новой строки, если первый игрок победит. Иначе, выведите «<span class="tex-font-style-tt">NO</span>» с новой строки. Вы можете выводить каждую букву в любом регистре (строчную или заглавную).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 1 1 2 1 5 2 3 2 3 1 4 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае примера, у каждого игрока есть только один возможный ход: первый игрок положит $$$2$$$, второй игрок положит $$$1$$$. $$$2>1$$$, поэтому первый игрок заберет обе карточки и победит.</p><p>Во втором тестовом случае примера, можно показать, что у второго игрока есть выигрышная стратегия. Один из возможных ходов игры приведен в условии. </p></div></div>

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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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if (!pre) { s = s.replace(/\s+/g, " "); } if (s.length > 0) { result.push(s); } } if (pre && node.tagName === "BR") { result.push("\n"); } node.childNodes.forEach(function (child) { result.push(nodeToText(child, node.tagName === "PRE").join("")); }); if (node.tagName === "DIV" || node.tagName === "P" || node.tagName === "PRE" || node.tagName === "UL" || node.tagName === "LI" ) { result.push("\n"); } if (node.tagName === "NOBR") { result.push(CLOSING_SPACE); } return result; } const isSpecial = function (c) { return c === ',' || c === '.' || c === ';' || c === ')' || c === ' '; } const convertStatementToText = function(statmentNode) { const text = nodeToText(statmentNode, false).join("").replace(/ +/g, " ").replace(/\n\n+/g, "\n\n"); let result = []; for (let i = 0; i < text.length; i++) { const c = text.charAt(i); if (c === OPENING_SPACE) { if (!((i > 0 && text.charAt(i - 1) === '(') || (result.length > 0 && result[result.length - 1] === ' '))) { result.push('+'); } } else if (c === CLOSING_SPACE) { if (!(i + 1 < text.length && isSpecial(text.charAt(i + 1)))) { result.push('-'); } } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_c32c32b4262cc6aefa27aea381eee99220eca952"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Игра с картами</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Два игрока решили сыграть в интересную карточную игру.</p><p>В колоде есть $$$n$$$ карт, со стоимостями от $$$1$$$ до $$$n$$$. Стоимости всех карт <span class="tex-font-style-bf">попарно различны</span> (это значит, что нет двух карт с одинаковой стоимостью). В начале игры колода полностью распределяется между игроками каким-то образом, причем у каждого игрока есть по крайней мере одна карта. </p><p>Игра идет следующим образом: каждый ход каждый игрок выбирает одну из своих карт (которую захочет), и кладет на стол так, чтобы другой игрок не видел выбранную карту. После этого обе карты вскрываются, и игрок, стоимость карты которого была больше, забирает себе обе карты в руку. Заметьте, что так как стоимости карт различны, стоимость одной из карт будет строго больше, чем другой. Любую карту можно использовать любое количество раз. Проигрывает тот, у кого не осталось карт.</p><p>К примеру, пусть $$$n = 5$$$, у первого игрока есть карты со стоимостями $$$2$$$ и $$$3$$$, а у второго есть карты со стоимостями $$$1$$$, $$$4$$$, $$$5$$$. Ниже продемонстрирован возможный ход игры:</p><ul><li><p>Первый игрок выбирает карту $$$3$$$, второй игрок выбирает карту $$$1$$$. Так как $$$3>1$$$, первый игрок получает обе карты. Теперь у первого игрока есть карты $$$1$$$, $$$2$$$, $$$3$$$, у второго игрока есть карты $$$4$$$, $$$5$$$.</p></li><li><p>Первый игрок выбирает карту $$$3$$$, второй игрок выбирает карту $$$4$$$. Так как $$$3<4$$$, второй игрок получает обе карты. Теперь у первого игрока есть карты $$$1$$$, $$$2$$$, у второго игрока есть карты $$$3$$$, $$$4$$$, $$$5$$$</p></li><li><p>Первый игрок выбирает карту $$$1$$$, второй игрок выбирает карту $$$3$$$. Так как $$$1<3$$$, второй игрок получает обе карты. Теперь у первого игрока есть только карта $$$2$$$, у второго игрока есть карты $$$1$$$, $$$3$$$, $$$4$$$, $$$5$$$</p></li><li><p>Первый игрок выбирает карту $$$2$$$, второй игрок выбирает карту $$$4$$$. Так как $$$2<4$$$, второй игрок получает обе карты. Теперь у первого игрока не осталось карт, и он проигрывает. Как следствие, второй игрок побеждает.</p></li></ul><p>Кто победит, если оба игрока играют оптимально? Можно показать, что если каждый игрок стремится победить, то у одного из игроков есть выигрышная стратегия.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Во входных данных находятся несколько (не меньше одного) тестовых случаев. В первой строке находится одно целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество тестовых случаев. Далее следуют описания тестовых случаев.</p><p>Первая строка описания тестового случая содержит три целых числа $$$n$$$, $$$k_1$$$, $$$k_2$$$ ($$$2 \le n \le 100, 1 \le k_1 \le n - 1, 1 \le k_2 \le n - 1, k_1 + k_2 = n$$$) — количество карт, количество карт у первого игрока и второго игрока соответственно.</p><p>Вторая строка описания тестового случая содержит $$$k_1$$$ целых чисел $$$a_1, \dots, a_{k_1}$$$ ($$$1 \le a_i \le n$$$) — стоимости карт первого игрока.</p><p>Третья строка описания тестового случая содержит $$$k_2$$$ целых чисел $$$b_1, \dots, b_{k_2}$$$ ($$$1 \le b_i \le n$$$) — стоимости карт второго игрока. </p><p>Гарантируется, что все стоимости карт различны.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая, выведите «<span class="tex-font-style-tt">YES</span>» с новой строки, если первый игрок победит. Иначе, выведите «<span class="tex-font-style-tt">NO</span>» с новой строки. Вы можете выводить каждую букву в любом регистре (строчную или заглавную).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 2 1 1 2 1 5 2 3 2 3 1 4 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае примера, у каждого игрока есть только один возможный ход: первый игрок положит $$$2$$$, второй игрок положит $$$1$$$. $$$2>1$$$, поэтому первый игрок заберет обе карточки и победит.</p><p>Во втором тестовом случае примера, можно показать, что у второго игрока есть выигрышная стратегия. Один из возможных ходов игры приведен в условии. </p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/34424"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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1270B

1270

B

ru

B. Интересный подмассив

<div class="problem-statement"><div class="header"><div class="title">B. Интересный подмассив</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Для массива $$$a$$$ из целых чисел обозначим его максимальный элемент через $$$\max(a)$$$, а минимальный через $$$\min(a)$$$. Будем называть массив $$$a$$$ из $$$k$$$ целых чисел <span class="tex-font-style-bf">интересным</span>, если $$$\max(a) - \min(a) \ge k$$$. К примеру, массив $$$[1, 3, 4, 3]$$$ не является интересным, так как $$$\max(a) - \min(a) = 4 - 1 = 3 < 4$$$, а массив $$$[7, 3, 0, 4, 3]$$$ является, так как $$$\max(a) - \min(a) = 7 - 0 = 7 \ge 5$$$.</p><p>Вам дан массив $$$a$$$ из $$$n$$$ целых чисел. Найдите какой-то интересный <span class="tex-font-style-bf">непустой</span> подмассив $$$a$$$, или сообщите, что его не существует.</p><p>Массив $$$b$$$ является подмассивом $$$a$$$, если $$$b$$$ может быть получен из $$$a$$$ удалением нескольких (возможно, ни одного или всех) элементов из начала и нескольких (возможно, ни одного или всех) элементов из конца. В частности, массив является своим подмассивом.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10\,000$$$). Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка описания тестового случая содержит единственное число $$$n$$$ ($$$2\le n \le 2\cdot 10^5$$$) — длина массива.</p><p>Вторая строка описания тестового случая содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$0\le a_i \le 10^9$$$) — элементы массива.</p><p>Гарантируется, что сумма значений $$$n$$$ по всем тестовым случаям не превосходит $$$2 \cdot 10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая, выведите «<span class="tex-font-style-tt">NO</span>» с новой строки, если в $$$a$$$ нет интересного непустого подмассива. </p><p>Иначе, выведите «<span class="tex-font-style-tt">YES</span>» с новой строки. В следующей строке выведите два целых числа $$$l$$$ и $$$r$$$ ($$$1\le l \le r \le n$$$) — границы выбранного вами подмассива. Если существует несколько решений, выведите любое из них.</p><p>Вы можете выводить каждую букву в любом регистре (строчную или заглавную).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 5 1 2 3 4 5 4 2 0 1 9 2 2019 2020 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO YES 1 4 NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Во втором тестовом случае примера, одним из возможных интересных подмассивов является $$$a = [2, 0, 1, 9]$$$: $$$\max(a) - \min(a) = 9 - 0 = 9 \ge 4$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_c78335dd411af347f55a9426f4f4e500e591e521"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Интересный подмассив</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Для массива $$$a$$$ из целых чисел обозначим его максимальный элемент через $$$\max(a)$$$, а минимальный через $$$\min(a)$$$. Будем называть массив $$$a$$$ из $$$k$$$ целых чисел <span class="tex-font-style-bf">интересным</span>, если $$$\max(a) - \min(a) \ge k$$$. К примеру, массив $$$[1, 3, 4, 3]$$$ не является интересным, так как $$$\max(a) - \min(a) = 4 - 1 = 3 < 4$$$, а массив $$$[7, 3, 0, 4, 3]$$$ является, так как $$$\max(a) - \min(a) = 7 - 0 = 7 \ge 5$$$.</p><p>Вам дан массив $$$a$$$ из $$$n$$$ целых чисел. Найдите какой-то интересный <span class="tex-font-style-bf">непустой</span> подмассив $$$a$$$, или сообщите, что его не существует.</p><p>Массив $$$b$$$ является подмассивом $$$a$$$, если $$$b$$$ может быть получен из $$$a$$$ удалением нескольких (возможно, ни одного или всех) элементов из начала и нескольких (возможно, ни одного или всех) элементов из конца. В частности, массив является своим подмассивом.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10\,000$$$). Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка описания тестового случая содержит единственное число $$$n$$$ ($$$2\le n \le 2\cdot 10^5$$$) — длина массива.</p><p>Вторая строка описания тестового случая содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$0\le a_i \le 10^9$$$) — элементы массива.</p><p>Гарантируется, что сумма значений $$$n$$$ по всем тестовым случаям не превосходит $$$2 \cdot 10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая, выведите «<span class="tex-font-style-tt">NO</span>» с новой строки, если в $$$a$$$ нет интересного непустого подмассива. </p><p>Иначе, выведите «<span class="tex-font-style-tt">YES</span>» с новой строки. В следующей строке выведите два целых числа $$$l$$$ и $$$r$$$ ($$$1\le l \le r \le n$$$) — границы выбранного вами подмассива. Если существует несколько решений, выведите любое из них.</p><p>Вы можете выводить каждую букву в любом регистре (строчную или заглавную).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 5 1 2 3 4 5 4 2 0 1 9 2 2019 2020 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> NO YES 1 4 NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Во втором тестовом случае примера, одним из возможных интересных подмассивов является $$$a = [2, 0, 1, 9]$$$: $$$\max(a) - \min(a) = 9 - 0 = 9 \ge 4$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); 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["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "*1200"]

1270C

1270

C

ru

C. Сделай хорошим

<div class="problem-statement"><div class="header"><div class="title">C. Сделай хорошим</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Будем называть массив $$$a_1, a_2, \dots, a_m$$$ неотрицательных целых чисел <span class="tex-font-style-bf">хорошим</span>, если $$$a_1 + a_2 + \dots + a_m = 2\cdot(a_1 \oplus a_2 \oplus \dots \oplus a_m)$$$, где $$$\oplus$$$ обозначает операцию <a href="https://ru.wikipedia.org/wiki/Сложение_по_модулю_2">побитового исключающего ИЛИ</a>.</p><p>К примеру, массив $$$[1, 2, 3, 6]$$$ является хорошим, так как $$$1 + 2 + 3 + 6 = 12 = 2\cdot 6 = 2\cdot (1\oplus 2 \oplus 3 \oplus 6)$$$. В то же время, массив $$$[1, 2, 1, 3]$$$ хорошим не является, так как $$$1 + 2 + 1 + 3 = 7 \neq 2\cdot 1 = 2\cdot(1\oplus 2 \oplus 1 \oplus 3)$$$.</p><p>Вам дан массив длины $$$n$$$: $$$a_1, a_2, \dots, a_n$$$. Добавьте к нему не более $$$3$$$ элементов, чтобы он стал хорошим. Добавленные элементы не обязаны быть различными. Можно показать, что при данных ограничениях решение всегда существует. Если существует несколько возможных решений, выведите любое из них. Обратите внимание, что <span class="tex-font-style-bf">минимизировать количество добавленных элементов не требуется!</span>. В частности если массив изначально уже хороший, то вы можете не добавлять элементов.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Во входных данных находятся несколько (не меньше одного) тестовых случаев. В первой строке находится одно целое число $$$t$$$ ($$$1 \le t \le 10\,000$$$) — количество тестовых случаев. Далее следуют описания тестовых случаев.</p><p>Первая строка описания тестового случая содержит единственное число $$$n$$$ $$$(1\le n \le 10^5)$$$ — длину массива.</p><p>Вторая строка описания тестового случая содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$0\le a_i \le 10^9$$$) — элементы массива.</p><p>Гарантируется, что сумма значений $$$n$$$ по всем тестовым случаям не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая выведите две строки.</p><p>В первой строке, выведите единственное целое число $$$s$$$ ($$$0\le s\le 3$$$) — количество элементов, которые вы хотите добавить. </p><p>Во второй строке, выведите $$$s$$$ целых чисел $$$b_1, \dots, b_s$$$ ($$$0\le b_i \le 10^{18}$$$) — элементы, которые вы хотите добавить.</p><p>Если существует несколько возможных решений, вы можете вывести любое из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 4 1 2 3 6 1 8 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 2 4 4 3 2 6 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае из примера, сумма элементов массива равна $$$12$$$, а их $$$\oplus$$$ равен $$$6$$$, поэтому условие уже выполнено.</p><p>Во втором тестовом случае из примера, после добавления $$$4, 4$$$, массив принимает вид $$$[8, 4, 4]$$$. Сумма элементов в нем равна $$$16$$$, а их $$$\oplus$$$ равен $$$8$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_2ee9d4d82336a8f07115b0cb2f77a462232e8e4c"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Сделай хорошим</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Будем называть массив $$$a_1, a_2, \dots, a_m$$$ неотрицательных целых чисел <span class="tex-font-style-bf">хорошим</span>, если $$$a_1 + a_2 + \dots + a_m = 2\cdot(a_1 \oplus a_2 \oplus \dots \oplus a_m)$$$, где $$$\oplus$$$ обозначает операцию <a href="https://ru.wikipedia.org/wiki/Сложение_по_модулю_2">побитового исключающего ИЛИ</a>.</p><p>К примеру, массив $$$[1, 2, 3, 6]$$$ является хорошим, так как $$$1 + 2 + 3 + 6 = 12 = 2\cdot 6 = 2\cdot (1\oplus 2 \oplus 3 \oplus 6)$$$. В то же время, массив $$$[1, 2, 1, 3]$$$ хорошим не является, так как $$$1 + 2 + 1 + 3 = 7 \neq 2\cdot 1 = 2\cdot(1\oplus 2 \oplus 1 \oplus 3)$$$.</p><p>Вам дан массив длины $$$n$$$: $$$a_1, a_2, \dots, a_n$$$. Добавьте к нему не более $$$3$$$ элементов, чтобы он стал хорошим. Добавленные элементы не обязаны быть различными. Можно показать, что при данных ограничениях решение всегда существует. Если существует несколько возможных решений, выведите любое из них. Обратите внимание, что <span class="tex-font-style-bf">минимизировать количество добавленных элементов не требуется!</span>. В частности если массив изначально уже хороший, то вы можете не добавлять элементов.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Во входных данных находятся несколько (не меньше одного) тестовых случаев. В первой строке находится одно целое число $$$t$$$ ($$$1 \le t \le 10\,000$$$) — количество тестовых случаев. Далее следуют описания тестовых случаев.</p><p>Первая строка описания тестового случая содержит единственное число $$$n$$$ $$$(1\le n \le 10^5)$$$ — длину массива.</p><p>Вторая строка описания тестового случая содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$0\le a_i \le 10^9$$$) — элементы массива.</p><p>Гарантируется, что сумма значений $$$n$$$ по всем тестовым случаям не превосходит $$$10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого тестового случая выведите две строки.</p><p>В первой строке, выведите единственное целое число $$$s$$$ ($$$0\le s\le 3$$$) — количество элементов, которые вы хотите добавить. </p><p>Во второй строке, выведите $$$s$$$ целых чисел $$$b_1, \dots, b_s$$$ ($$$0\le b_i \le 10^{18}$$$) — элементы, которые вы хотите добавить.</p><p>Если существует несколько возможных решений, вы можете вывести любое из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 4 1 2 3 6 1 8 2 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 2 4 4 3 2 6 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом тестовом случае из примера, сумма элементов массива равна $$$12$$$, а их $$$\oplus$$$ равен $$$6$$$, поэтому условие уже выполнено.</p><p>Во втором тестовом случае из примера, после добавления $$$4, 4$$$, массив принимает вид $$$[8, 4, 4]$$$. Сумма элементов в нем равна $$$16$$$, а их $$$\oplus$$$ равен $$$8$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/34424"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); 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["\u0411\u0438\u0442\u043e\u0432\u044b\u0435 \u043c\u0430\u0441\u043a\u0438", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0431\u0438\u0442\u043c\u0430\u0441\u043a\u0438", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "*1400"]

1270D

1270

D

ru

D. Странный прибор

<div class="problem-statement"><div class="header"><div class="title">D. Странный прибор</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-bf">Это интерактивная задача</span>.</p><p>Мы загадали массив $$$a$$$ из $$$n$$$ <span class="tex-font-style-bf">попарно различных</span> чисел (это значит, что нет одинаковых чисел). Вы можете узнавать информацию об этом массиве с помощью нового прибора, который вы заказали на Amazon. </p><p>Данный прибор может отвечать на запрос следующего вида: в ответ на индексы $$$k$$$ различных элементов массива, он вернет вам позицию и значение $$$m$$$-го по возрастанию среди них.</p><p>К сожалению, инструкция к прибору потерялась при доставке. Вы помните $$$k$$$, но не помните $$$m$$$. Ваша задача — найти $$$m$$$ с помощью запросов к данному прибору. </p><p>Вы можете задать <span class="tex-font-style-bf">не более $$$n$$$ запросов</span>.</p><p>Обратите внимание, что массив $$$a$$$, а также число $$$m$$$ зафиксированы перед началом взаимодействия и не зависят от ваших запросов. Иными словами, <span class="tex-font-style-bf">интерактор не адаптивен</span>.</p><p>Заметьте, что число запросов минимизировать не нужно, как и угадывать весь массив $$$a$$$. Вам нужно только угадать $$$m$$$. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит два целых числа $$$n$$$ и $$$k$$$ ($$$1\le k < n \le 500$$$) — длина массива и количество элементов в запросе соответственно.</p><p>Гарантируется, что искомое $$$m$$$ удовлетворяет $$$1\le m \le k$$$, элементы $$$a_1, a_2, \dots, a_n$$$ массива удовлетворяют $$$0\le a_i \le 10^9$$$ и все они различны.</p></div><div><div class="section-title">Протокол взаимодействия</div><p>Вы начинаете взаимодействие, считав $$$n$$$ и $$$k$$$.</p><p>Чтобы задать вопрос об элементах на позициях $$$x_1, x_2, \dots, x_k$$$, в отдельной строке выведите</p><p>$$$?$$$ $$$x_1$$$ $$$x_2$$$ $$$x_3$$$ ... $$$x_k$$$</p><p>Числа в запросе должны удовлетворять условию $$$1 \le x_i \le n$$$, и все $$$x_i$$$ должны быть различными. Не забудьте сделать операцию 'flush', чтобы получить ответ.</p><p>В ответ, вы получите два числа $$$pos$$$ и $$$a_{pos}$$$ — позиция в массиве $$$a$$$ $$$m$$$-го в порядке возрастания элемента среди $$$a_{x_1}, a_{x_2}, \dots, a_{x_k}$$$, и сам элемент на этой позиции.</p><p>В случае, если ваш запрос не соответствует требованиям, или вы задали более $$$n$$$ запросов, программа выведет $$$-1$$$ и прекратит взаимодействие. Вы получите вердикт <span class="tex-font-style-bf">Неправильный ответ</span>. Вам нужно завершить работу вашей программы, чтобы не получить другие вердикты.</p><p>Когда вы определили $$$m$$$, выведите </p><p>$$$!$$$ $$$m$$$</p><p>После вывода запроса не забудьте вывести перевод строки и сбросить буфер вывода. В противном случае вы получите вердикт <span class="tex-font-style-tt">Решение «зависло»</span>. Для сброса буфера используйте:</p><ul><li> <span class="tex-font-style-tt">fflush(stdout)</span> или <span class="tex-font-style-tt">cout.flush()</span> в C++;</li><li> <span class="tex-font-style-tt">System.out.flush()</span> в Java;</li><li> <span class="tex-font-style-tt">flush(output)</span> в Pascal;</li><li> <span class="tex-font-style-tt">stdout.flush()</span> в Python;</li><li> смотрите документацию для других языков.</li></ul><p><span class="tex-font-style-bf">Формат взломов</span></p><p>Для взломов используйте следующий формат:</p><p>Первая строка должна содержать три целых числа $$$n, k, m$$$ ($$$1 \le m \le k < n \le 500$$$) — длина массива, количество чисел в запросе, и какое в порядке возрастания число возвращает прибор.</p><p>В следующей строке выведите $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$0\le a_i \le 10^9$$$) — элементы массива. Они должны быть попарно различными.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 4 9 4 9 4 9 1 2</pre></div><div class="output"><div class="title">Выходные данные</div><pre> ? 2 3 4 ? 1 3 4 ? 1 2 4 ? 1 2 3 ! 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В примере, $$$n = 4$$$, $$$k = 3$$$, $$$m = 3$$$, $$$a = [2, 0, 1, 9]$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/82653/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/82653/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/82653/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_96557c4a9077c2391debd6cf7dbe0566618299c9"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Странный прибор</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p><span class="tex-font-style-bf">Это интерактивная задача</span>.</p><p>Мы загадали массив $$$a$$$ из $$$n$$$ <span class="tex-font-style-bf">попарно различных</span> чисел (это значит, что нет одинаковых чисел). Вы можете узнавать информацию об этом массиве с помощью нового прибора, который вы заказали на Amazon. </p><p>Данный прибор может отвечать на запрос следующего вида: в ответ на индексы $$$k$$$ различных элементов массива, он вернет вам позицию и значение $$$m$$$-го по возрастанию среди них.</p><p>К сожалению, инструкция к прибору потерялась при доставке. Вы помните $$$k$$$, но не помните $$$m$$$. Ваша задача — найти $$$m$$$ с помощью запросов к данному прибору. </p><p>Вы можете задать <span class="tex-font-style-bf">не более $$$n$$$ запросов</span>.</p><p>Обратите внимание, что массив $$$a$$$, а также число $$$m$$$ зафиксированы перед началом взаимодействия и не зависят от ваших запросов. Иными словами, <span class="tex-font-style-bf">интерактор не адаптивен</span>.</p><p>Заметьте, что число запросов минимизировать не нужно, как и угадывать весь массив $$$a$$$. Вам нужно только угадать $$$m$$$. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит два целых числа $$$n$$$ и $$$k$$$ ($$$1\le k < n \le 500$$$) — длина массива и количество элементов в запросе соответственно.</p><p>Гарантируется, что искомое $$$m$$$ удовлетворяет $$$1\le m \le k$$$, элементы $$$a_1, a_2, \dots, a_n$$$ массива удовлетворяют $$$0\le a_i \le 10^9$$$ и все они различны.</p></div><div><div class="section-title">Протокол взаимодействия</div><p>Вы начинаете взаимодействие, считав $$$n$$$ и $$$k$$$.</p><p>Чтобы задать вопрос об элементах на позициях $$$x_1, x_2, \dots, x_k$$$, в отдельной строке выведите</p><p>$$$?$$$ $$$x_1$$$ $$$x_2$$$ $$$x_3$$$ ... $$$x_k$$$</p><p>Числа в запросе должны удовлетворять условию $$$1 \le x_i \le n$$$, и все $$$x_i$$$ должны быть различными. Не забудьте сделать операцию 'flush', чтобы получить ответ.</p><p>В ответ, вы получите два числа $$$pos$$$ и $$$a_{pos}$$$ — позиция в массиве $$$a$$$ $$$m$$$-го в порядке возрастания элемента среди $$$a_{x_1}, a_{x_2}, \dots, a_{x_k}$$$, и сам элемент на этой позиции.</p><p>В случае, если ваш запрос не соответствует требованиям, или вы задали более $$$n$$$ запросов, программа выведет $$$-1$$$ и прекратит взаимодействие. Вы получите вердикт <span class="tex-font-style-bf">Неправильный ответ</span>. Вам нужно завершить работу вашей программы, чтобы не получить другие вердикты.</p><p>Когда вы определили $$$m$$$, выведите </p><p>$$$!$$$ $$$m$$$</p><p>После вывода запроса не забудьте вывести перевод строки и сбросить буфер вывода. В противном случае вы получите вердикт <span class="tex-font-style-tt">Решение «зависло»</span>. Для сброса буфера используйте:</p><ul><li> <span class="tex-font-style-tt">fflush(stdout)</span> или <span class="tex-font-style-tt">cout.flush()</span> в C++;</li><li> <span class="tex-font-style-tt">System.out.flush()</span> в Java;</li><li> <span class="tex-font-style-tt">flush(output)</span> в Pascal;</li><li> <span class="tex-font-style-tt">stdout.flush()</span> в Python;</li><li> смотрите документацию для других языков.</li></ul><p><span class="tex-font-style-bf">Формат взломов</span></p><p>Для взломов используйте следующий формат:</p><p>Первая строка должна содержать три целых числа $$$n, k, m$$$ ($$$1 \le m \le k < n \le 500$$$) — длина массива, количество чисел в запросе, и какое в порядке возрастания число возвращает прибор.</p><p>В следующей строке выведите $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$0\le a_i \le 10^9$$$) — элементы массива. Они должны быть попарно различными.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 4 9 4 9 4 9 1 2</pre></div><div class="output"><div class="title">Выходные данные</div><pre> ? 2 3 4 ? 1 3 4 ? 1 2 4 ? 1 2 3 ! 3 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В примере, $$$n = 4$$$, $$$k = 3$$$, $$$m = 3$$$, $$$a = [2, 0, 1, 9]$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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["\u0438\u043d\u0442\u0435\u0440\u0430\u043a\u0442\u0438\u0432", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438", "*1900"]

1270E

1270

E

ru

E. Разделите точки

<div class="problem-statement"><div class="header"><div class="title">E. Разделите точки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано множество из $$$n\ge 2$$$ <span class="tex-font-style-bf">попарно различных</span> точек с целыми координатами. Вы должны разделить эти точки на 2 <span class="tex-font-style-bf">непустые</span> группы $$$A$$$ и $$$B$$$, чтобы следующее условие выполнялось:</p><p>Для любых двух точек $$$P$$$ и $$$Q$$$, напишите <a href="https://ru.wikipedia.org/wiki/Евклидова_метрика">Евклидово расстояние</a> между ними на доске: если они принадлежат <span class="tex-font-style-bf">одной и той же</span> группе — <span class="tex-font-style-bf">желтым</span> цветом, а если <span class="tex-font-style-bf">различным</span> группам — <span class="tex-font-style-bf">синим</span> цветом. <span class="tex-font-style-bf">Тогда ни одное желтое число не должно равняться ни одному синему числу</span>.</p><p>Гарантируется, что такое разбиение существует при данных ограничениях. Если существуют различные разбиения, вы можете вывести любое из них.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит одно целое число $$$n$$$ $$$(2 \le n \le 10^3)$$$ — количество точек.</p><p>$$$i$$$-я из следующих $$$n$$$ строк содержит два целых числа $$$x_i$$$ и $$$y_i$$$ ($$$-10^6 \le x_i, y_i \le 10^6$$$) — координаты $$$i$$$-й точки. </p><p>Гарантируется, что все $$$n$$$ точек попарно различны.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке, выведите $$$a$$$ ($$$1 \le a \le n-1$$$) — количество точек в группе $$$A$$$.</p><p>Во второй строке, выведите $$$a$$$ чисел — номера точек, которые вы берете в группу $$$A$$$.</p><p>Если существует несколько решений, выведите любое из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 0 0 0 1 1 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 0 1 0 -1 1 0 -1 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 1 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 -2 1 1 1 -1 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 2 5 0 3 -4 -1 -5 -4 1 0 3 -1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 -1000000 -1000000 1000000 1000000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, мы берем точку $$$(0, 0)$$$ в группу $$$A$$$, а точки $$$(0, 1)$$$ и $$$(1, 0)$$$ в группу $$$B$$$. Таким образом, на доске будет написано $$$1$$$ желтое число $$$\sqrt{2}$$$ и $$$2$$$ синих числа $$$1$$$.</p><p>Во втором примере, мы берем точки $$$(0, 1)$$$ и $$$(0, -1)$$$ в группу $$$A$$$, а точки $$$(-1, 0)$$$ и $$$(1, 0)$$$ в группу $$$B$$$. Таким образом, на доске будет написано $$$2$$$ желтых числа $$$2$$$ и $$$4$$$ синих числа $$$\sqrt{2}$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_fcd29a20ec466bf111225662eda70f481f0cb78d"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Разделите точки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам дано множество из $$$n\ge 2$$$ <span class="tex-font-style-bf">попарно различных</span> точек с целыми координатами. Вы должны разделить эти точки на 2 <span class="tex-font-style-bf">непустые</span> группы $$$A$$$ и $$$B$$$, чтобы следующее условие выполнялось:</p><p>Для любых двух точек $$$P$$$ и $$$Q$$$, напишите <a href="https://ru.wikipedia.org/wiki/Евклидова_метрика">Евклидово расстояние</a> между ними на доске: если они принадлежат <span class="tex-font-style-bf">одной и той же</span> группе — <span class="tex-font-style-bf">желтым</span> цветом, а если <span class="tex-font-style-bf">различным</span> группам — <span class="tex-font-style-bf">синим</span> цветом. <span class="tex-font-style-bf">Тогда ни одное желтое число не должно равняться ни одному синему числу</span>.</p><p>Гарантируется, что такое разбиение существует при данных ограничениях. Если существуют различные разбиения, вы можете вывести любое из них.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит одно целое число $$$n$$$ $$$(2 \le n \le 10^3)$$$ — количество точек.</p><p>$$$i$$$-я из следующих $$$n$$$ строк содержит два целых числа $$$x_i$$$ и $$$y_i$$$ ($$$-10^6 \le x_i, y_i \le 10^6$$$) — координаты $$$i$$$-й точки. </p><p>Гарантируется, что все $$$n$$$ точек попарно различны.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первой строке, выведите $$$a$$$ ($$$1 \le a \le n-1$$$) — количество точек в группе $$$A$$$.</p><p>Во второй строке, выведите $$$a$$$ чисел — номера точек, которые вы берете в группу $$$A$$$.</p><p>Если существует несколько решений, выведите любое из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 0 0 0 1 1 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 0 1 0 -1 1 0 -1 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 1 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 -2 1 1 1 -1 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 6 2 5 0 3 -4 -1 -5 -4 1 0 3 -1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 -1000000 -1000000 1000000 1000000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, мы берем точку $$$(0, 0)$$$ в группу $$$A$$$, а точки $$$(0, 1)$$$ и $$$(1, 0)$$$ в группу $$$B$$$. Таким образом, на доске будет написано $$$1$$$ желтое число $$$\sqrt{2}$$$ и $$$2$$$ синих числа $$$1$$$.</p><p>Во втором примере, мы берем точки $$$(0, 1)$$$ и $$$(0, -1)$$$ в группу $$$A$$$, а точки $$$(-1, 0)$$$ и $$$(1, 0)$$$ в группу $$$B$$$. Таким образом, на доске будет написано $$$2$$$ желтых числа $$$2$$$ и $$$4$$$ синих числа $$$\sqrt{2}$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/34424"); $("#facebox .diff-popup").html(result["diff"]); 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["\u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "*2300"]

1270F

1270

F

ru

F. Восхитительные подстроки

<div class="problem-statement"><div class="header"><div class="title">F. Восхитительные подстроки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>8 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Назовем бинарную строку $$$s$$$ <span class="tex-font-style-bf">восхитительной</span>, если она содержит по крайней мере $$$1$$$ символ <span class="tex-font-style-tt">1</span> и длина строки делится на количество <span class="tex-font-style-tt">1</span> в ней. К примеру, <span class="tex-font-style-tt">1</span>, <span class="tex-font-style-tt">1010</span>, <span class="tex-font-style-tt">111</span> являются <span class="tex-font-style-bf">восхитительными</span>, но <span class="tex-font-style-tt">0</span>, <span class="tex-font-style-tt">110</span>, <span class="tex-font-style-tt">01010</span> не являются.</p><p>Вам дана бинарная строка $$$s$$$. Посчитайте количество ее <span class="tex-font-style-bf">восхитительных</span> подстрок.</p><p>Строка $$$a$$$ является подстрокой $$$b$$$, если $$$a$$$ может быть получена из $$$b$$$ удалением нескольких (возможно, ни одного или всех) символов из начала и нескольких (возможно, ни одного или всех) символов из конца.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит строку $$$s$$$ ($$$1 \leq |s|\le 200\,000$$$), состоящую только из нулей и единиц.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите единственное число — количество <span class="tex-font-style-bf">восхитительных</span> подстрок $$$s$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 111 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 01010 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 0000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1111100000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 25 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, все подстроки $$$s$$$ являются <span class="tex-font-style-bf">восхитительными</span>.</p><p>Во втором примере, есть следующие <span class="tex-font-style-bf">восхитительные</span> подстроки $$$s$$$: <span class="tex-font-style-tt">1</span> ($$$2$$$ раза), <span class="tex-font-style-tt">01</span> ($$$2$$$ раза), <span class="tex-font-style-tt">10</span> ($$$2$$$ раза), <span class="tex-font-style-tt">010</span> ($$$2$$$ раза), <span class="tex-font-style-tt">1010</span>, <span class="tex-font-style-tt">0101</span></p><p>В третьем примере, ни одна подстрока не является <span class="tex-font-style-bf">восхитительной</span>.</p></div></div>

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Просто зарегистрируйтесь на дорешивание. </div> <div style="text-align:center;margin:1em;"> <form action="" method="post"><input type='hidden' name='csrf_token' value='feaa799886d3bcdc6fd29de640eef4f2'/> <input type="hidden" name="action" value="registerForPractice"/> <input type="submit" name="submit" value="Зарегистрироваться" style="padding:0 0.5em;"> </form> </div> </div> </div> <div class="roundbox sidebox ContestVirtualFrame borderTopRound " style=""> <div class="caption titled">→ Виртуальное участие <i class="sidebar-caption-icon las la-angle-down"></i> <div class="top-links"> </div> </div> <div style=" " data-page-url="/data/sidebarFrames" > <div style="margin:1em;font-size:0.8em;"> Виртуальное соревнование – это способ прорешать прошедшее соревнование в режиме, максимально близком к участию во время его проведения. Поддерживается только ICPC режим для виртуальных соревнований. Если вы раньше видели эти задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_18f20c24f424e67253210754b767cba7b64cb6a2"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Восхитительные подстроки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>8 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Назовем бинарную строку $$$s$$$ <span class="tex-font-style-bf">восхитительной</span>, если она содержит по крайней мере $$$1$$$ символ <span class="tex-font-style-tt">1</span> и длина строки делится на количество <span class="tex-font-style-tt">1</span> в ней. К примеру, <span class="tex-font-style-tt">1</span>, <span class="tex-font-style-tt">1010</span>, <span class="tex-font-style-tt">111</span> являются <span class="tex-font-style-bf">восхитительными</span>, но <span class="tex-font-style-tt">0</span>, <span class="tex-font-style-tt">110</span>, <span class="tex-font-style-tt">01010</span> не являются.</p><p>Вам дана бинарная строка $$$s$$$. Посчитайте количество ее <span class="tex-font-style-bf">восхитительных</span> подстрок.</p><p>Строка $$$a$$$ является подстрокой $$$b$$$, если $$$a$$$ может быть получена из $$$b$$$ удалением нескольких (возможно, ни одного или всех) символов из начала и нескольких (возможно, ни одного или всех) символов из конца.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит строку $$$s$$$ ($$$1 \leq |s|\le 200\,000$$$), состоящую только из нулей и единиц.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите единственное число — количество <span class="tex-font-style-bf">восхитительных</span> подстрок $$$s$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 111 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 01010 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 10 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 0000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1111100000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 25 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, все подстроки $$$s$$$ являются <span class="tex-font-style-bf">восхитительными</span>.</p><p>Во втором примере, есть следующие <span class="tex-font-style-bf">восхитительные</span> подстроки $$$s$$$: <span class="tex-font-style-tt">1</span> ($$$2$$$ раза), <span class="tex-font-style-tt">01</span> ($$$2$$$ раза), <span class="tex-font-style-tt">10</span> ($$$2$$$ раза), <span class="tex-font-style-tt">010</span> ($$$2$$$ раза), <span class="tex-font-style-tt">1010</span>, <span class="tex-font-style-tt">0101</span></p><p>В третьем примере, ни одна подстрока не является <span class="tex-font-style-bf">восхитительной</span>.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); 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["\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u041f\u0440\u0435\u0444\u0438\u043a\u0441- \u0438 Z-\u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0441\u0443\u0444\u0444\u0438\u043a\u0441\u043d\u044b\u0435 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b, \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u041a\u043d\u0443\u0442\u0430-\u041c\u043e\u0440\u0440\u0438\u0441\u0430-\u041f\u0440\u0430\u0442\u0442\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u0441\u0442\u0440\u043e\u043a\u0438", "*2600"]

1270G

1270

G

ru

G. Подмножество с суммой ноль

<div class="problem-statement"><div class="header"><div class="title">G. Подмножество с суммой ноль</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам даны $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$, причем для каждого $$$1\le i \le n$$$ выполняется $$$i-n\le a_i\le i-1$$$.</p><p>Найдите какое-то непустое подмножество этих чисел, сумма которых равна $$$0$$$. Можно показать, что при данных ограничениях такое подмножество существует. Если существуют несколько подмножеств с суммой ноль, вы можете вывести любое из них.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Во входных данных находятся несколько (не меньше одного) тестовых случаев. В первой строке находится одно целое число $$$t$$$ ($$$1 \le t \le 10^6$$$) — количество тестовых случаев. Далее следуют описания тестовых случаев.</p><p>Первая строка описания тестового случая содержит единственное целое число $$$n$$$ ($$$1\le n \le 10^6$$$).</p><p>Вторая строка описания тестового случая содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$i-n \le a_i \le i-1$$$).</p><p>Гарантируется, что сумма значений $$$n$$$ по всем тестовым случаям не превосходит $$$10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого теста, выведите две строки. </p><p>В первой строке выведите $$$s$$$ ($$$1\le s \le n$$$) — количество элементов в вашем подмножестве.</p><p>В второй строке выведите $$$s$$$ чисел $$$i_1, i_2, \dots, i_s$$$ ($$$1\le i_k \le n$$$). Все числа должны быть попарно различными, а сумма $$$a_{i_1} + a_{i_2} + \dots + a_{i_s}$$$ должна быть равна $$$0$$$. Если существуют несколько подмножеств с суммой ноль, вы можете вывести любое из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 5 0 1 2 3 4 4 -3 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 4 1 4 3 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, сумма равна $$$a_1 = 0$$$.</p><p>Во втором примере, сумма равна $$$a_1 + a_4 + a_3 + a_2 = 0$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="G" data-uuid="ps_baf8e39e1741ccc001c898a3f710036701d3a94f"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">G. Подмножество с суммой ноль</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам даны $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$, причем для каждого $$$1\le i \le n$$$ выполняется $$$i-n\le a_i\le i-1$$$.</p><p>Найдите какое-то непустое подмножество этих чисел, сумма которых равна $$$0$$$. Можно показать, что при данных ограничениях такое подмножество существует. Если существуют несколько подмножеств с суммой ноль, вы можете вывести любое из них.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Во входных данных находятся несколько (не меньше одного) тестовых случаев. В первой строке находится одно целое число $$$t$$$ ($$$1 \le t \le 10^6$$$) — количество тестовых случаев. Далее следуют описания тестовых случаев.</p><p>Первая строка описания тестового случая содержит единственное целое число $$$n$$$ ($$$1\le n \le 10^6$$$).</p><p>Вторая строка описания тестового случая содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$i-n \le a_i \le i-1$$$).</p><p>Гарантируется, что сумма значений $$$n$$$ по всем тестовым случаям не превосходит $$$10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого теста, выведите две строки. </p><p>В первой строке выведите $$$s$$$ ($$$1\le s \le n$$$) — количество элементов в вашем подмножестве.</p><p>В второй строке выведите $$$s$$$ чисел $$$i_1, i_2, \dots, i_s$$$ ($$$1\le i_k \le n$$$). Все числа должны быть попарно различными, а сумма $$$a_{i_1} + a_{i_2} + \dots + a_{i_s}$$$ должна быть равна $$$0$$$. Если существуют несколько подмножеств с суммой ноль, вы можете вывести любое из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 5 0 1 2 3 4 4 -3 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 4 1 4 3 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере, сумма равна $$$a_1 = 0$$$.</p><p>Во втором примере, сумма равна $$$a_1 + a_4 + a_3 + a_2 = 0$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=G]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); 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["\u0413\u0440\u0430\u0444\u044b", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u041f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0433\u0440\u0430\u0444\u044b", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u043f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u043e\u0435", "*2700"]

1270H

1270

H

ru

H. Количество компонент

<div class="problem-statement"><div class="header"><div class="title">H. Количество компонент</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>8 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть у нас имеется массив из $$$n$$$ различных чисел $$$a_1, a_2, \dots, a_n$$$. Построим граф на $$$n$$$ вершинах следующим образом: для любой пары вершин $$$i < j$$$ соединим вершины $$$i$$$ и $$$j$$$ ребром, если $$$a_i < a_j$$$. Назовем <span class="tex-font-style-bf">весом</span> массива количество компонент в полученном графе. Например, вес массива $$$[1, 4, 2]$$$ равен $$$1$$$, вес массива $$$[5, 4, 3]$$$ равен $$$3$$$.</p><p>Вам необходимо выполнить $$$q$$$ запросов следующего вида — изменить значение в позиции. После каждого изменения вам необходимо вывести вес полученного массива. Обратите внимание, что изменения не независимы (изменение сохраняется на будущее).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит два целых числа $$$n$$$ и $$$q$$$ ($$$1 \le n, q \le 5 \cdot 10^5$$$) — размер массива и количество запросов.</p><p>Вторая строка содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^6$$$) — исходный массив.</p><p>Каждая из следующих $$$q$$$ строк содержит два целых числа $$$pos$$$ и $$$x$$$ ($$$1 \le pos \le n$$$, $$$1 \le x \le 10^6, x \ne a_{pos}$$$). Это значит, что необходимо сделать $$$a_{pos}=x$$$.</p><p>Гарантируется, что в любой момент времени все числа в массиве различны.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>После каждого запроса выведите вес полученного массива.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 3 50 40 30 20 10 1 25 3 45 1 48 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 3 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>После первого запроса изменения массив имеет вид $$$[25, 40, 30, 20, 10]$$$. Вес равен $$$3$$$.</p><p>После второго запроса изменения массив имеет вид $$$[25, 40, 45, 20, 10]$$$. Вес все еще равен $$$3$$$.</p><p>После третьего запроса изменения массив имеет вид $$$[48, 40, 45, 20, 10]$$$. Вес равен $$$4$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="H" data-uuid="ps_d94441e8cba4fe6a0986ff6182d982353e589e89"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">H. Количество компонент</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>8 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Пусть у нас имеется массив из $$$n$$$ различных чисел $$$a_1, a_2, \dots, a_n$$$. Построим граф на $$$n$$$ вершинах следующим образом: для любой пары вершин $$$i < j$$$ соединим вершины $$$i$$$ и $$$j$$$ ребром, если $$$a_i < a_j$$$. Назовем <span class="tex-font-style-bf">весом</span> массива количество компонент в полученном графе. Например, вес массива $$$[1, 4, 2]$$$ равен $$$1$$$, вес массива $$$[5, 4, 3]$$$ равен $$$3$$$.</p><p>Вам необходимо выполнить $$$q$$$ запросов следующего вида — изменить значение в позиции. После каждого изменения вам необходимо вывести вес полученного массива. Обратите внимание, что изменения не независимы (изменение сохраняется на будущее).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит два целых числа $$$n$$$ и $$$q$$$ ($$$1 \le n, q \le 5 \cdot 10^5$$$) — размер массива и количество запросов.</p><p>Вторая строка содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^6$$$) — исходный массив.</p><p>Каждая из следующих $$$q$$$ строк содержит два целых числа $$$pos$$$ и $$$x$$$ ($$$1 \le pos \le n$$$, $$$1 \le x \le 10^6, x \ne a_{pos}$$$). Это значит, что необходимо сделать $$$a_{pos}=x$$$.</p><p>Гарантируется, что в любой момент времени все числа в массиве различны.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>После каждого запроса выведите вес полученного массива.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 3 50 40 30 20 10 1 25 3 45 1 48 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 3 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>После первого запроса изменения массив имеет вид $$$[25, 40, 30, 20, 10]$$$. Вес равен $$$3$$$.</p><p>После второго запроса изменения массив имеет вид $$$[25, 40, 45, 20, 10]$$$. Вес все еще равен $$$3$$$.</p><p>После третьего запроса изменения массив имеет вид $$$[48, 40, 45, 20, 10]$$$. Вес равен $$$4$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=H]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/34424"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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1270I

1270

I

ru

I. Ксорим на фигурах

<div class="problem-statement"><div class="header"><div class="title">I. Ксорим на фигурах</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>5 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Дано целое число $$$k$$$ и доска $$$2^k \times 2^k$$$, в клетках которой записаны числа, клетка $$$(i, j)$$$ изначально содержит число $$$a_{ij}$$$. Доска считается тором, то есть, клетка справа от $$$(i, 2^k)$$$ это $$$(i, 1)$$$, а клетка вниз от $$$(2^k, i)$$$ это $$$(1, i)$$$. Также дана клетчатая фигурка $$$F$$$, состоящая из $$$t$$$ клеток, где $$$t$$$ <span class="tex-font-style-bf">нечетное</span>. $$$F$$$ не обязана быть связной.</p><p>Мы можем выполнять следующую операцию: положить $$$F$$$ на доску (разрешены только параллельные переносы, повороты и симметрии запрещены). Теперь выберите произвольное неотрицательное число $$$p$$$. После этого, для каждой клетки $$$(i, j)$$$, покрытой $$$F$$$, замените $$$a_{ij}$$$ на $$$a_{ij}\oplus p$$$, где $$$\oplus$$$ обозначает операцию <a href="https://ru.wikipedia.org/wiki/Сложение_по_модулю_2">побитового исключающего ИЛИ</a>.</p><p>Более формально, пусть $$$F$$$ задана клетками $$$(x_1, y_1), (x_2, y_2), \dots, (x_t, y_t)$$$. Тогда вы можете проделать следующую операцию: выбрать любые $$$x, y$$$ с $$$1\le x, y \le 2^k$$$, любое неотрицательное число $$$p$$$, и для каждого $$$i$$$ от $$$1$$$ до $$$n$$$ заменить число в клетке $$$(((x + x_i - 1)\bmod 2^k) + 1, ((y + y_i - 1)\bmod 2^k) + 1)$$$ на $$$a_{((x + x_i - 1)\bmod 2^k) + 1, ((y + y_i - 1)\bmod 2^k) + 1}\oplus p$$$.</p><p>Мы хотим сделать все числа равными $$$0$$$. Можем ли мы этого достичь? Если да, то найдите наименьшее возможное число операций, с помощью которых этого можно добиться.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит единственное целое число $$$k$$$ ($$$1 \le k \le 9$$$).</p><p>$$$i$$$-я из следующих $$$2^k$$$ строк содержит $$$2^k$$$ целых чисел $$$a_{i1}, a_{i2}, \dots, a_{i2^k}$$$ ($$$0 \le a_{ij} < 2^{60}$$$) — изначальные значения чисел в $$$i$$$-й строке доски.</p><p>Следующая строка содержит единственное целое число $$$t$$$ ($$$1\le t \le \min(99, 4^k)$$$, $$$t$$$ нечетное) — количество клеток фигуры.</p><p>$$$i$$$-я из следующих $$$t$$$ строк содержит два целых числа $$$x_i$$$ и $$$y_i$$$ ($$$1 \le x_i, y_i \le 2^k$$$), описывающих позицию $$$i$$$-й клетки фигуры.</p><p>Гарантируется, что все клетки различны, но <span class="tex-font-style-bf">не гарантируется, что фигура связная</span>. </p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно сделать все числа на доске равными $$$0$$$ с этими операциями, выведите $$$-1$$$.</p><p>Иначе, выведите единственное число — минимальное количество операций, необходимых, чтобы это сделать. Можно показать, что если возможно сделать все числа равными $$$0$$$, это можно сделать за не более чем $$$10^{18}$$$ операций.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 5 5 5 5 2 6 2 3 0 0 2 0 0 0 0 0 5 1 1 1 2 1 3 1 4 2 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3</pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Фигурка и операции для примера приведены ниже:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/1f5c9fd5964809bc1d06c5999ab7fdf4dc29b1e6.png" style="max-width: 100.0%;max-height: 100.0%;"/> </center></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72439" title="Good Bye 2019" target="_blank">Good Bye 2019</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10193:10194" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72611" title="Goodbye 2019" target="_blank">Goodbye 2019 <span class="resource-locale">(англ.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10217" resourceName="Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72611" title="Разбор Goodbye 2019" target="_blank">Разбор Goodbye 2019 <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10219" resourceName="Разбор Goodbye 2019" resourceManual="true" src="//codeforces.org/s/34424/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1270">Задачи</a></li> <li><a href="/contest/1270/submit">Отослать</a></li> <li><a href="/contest/1270/my">Мои посылки</a></li> <li><a href="/contest/1270/status">Статус</a></li> <li><a href="/contest/1270/hacks">Взломы</a></li> <li><a href="/contest/1270/room/1">Комната</a></li> <li><a href="/contest/1270/standings">Положение</a></li> <li><a href="/contest/1270/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="I" data-uuid="ps_bce36982385c358246a9f5900408d55537dd5700"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">I. Ксорим на фигурах</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>5 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Дано целое число $$$k$$$ и доска $$$2^k \times 2^k$$$, в клетках которой записаны числа, клетка $$$(i, j)$$$ изначально содержит число $$$a_{ij}$$$. Доска считается тором, то есть, клетка справа от $$$(i, 2^k)$$$ это $$$(i, 1)$$$, а клетка вниз от $$$(2^k, i)$$$ это $$$(1, i)$$$. Также дана клетчатая фигурка $$$F$$$, состоящая из $$$t$$$ клеток, где $$$t$$$ <span class="tex-font-style-bf">нечетное</span>. $$$F$$$ не обязана быть связной.</p><p>Мы можем выполнять следующую операцию: положить $$$F$$$ на доску (разрешены только параллельные переносы, повороты и симметрии запрещены). Теперь выберите произвольное неотрицательное число $$$p$$$. После этого, для каждой клетки $$$(i, j)$$$, покрытой $$$F$$$, замените $$$a_{ij}$$$ на $$$a_{ij}\oplus p$$$, где $$$\oplus$$$ обозначает операцию <a href="https://ru.wikipedia.org/wiki/Сложение_по_модулю_2">побитового исключающего ИЛИ</a>.</p><p>Более формально, пусть $$$F$$$ задана клетками $$$(x_1, y_1), (x_2, y_2), \dots, (x_t, y_t)$$$. Тогда вы можете проделать следующую операцию: выбрать любые $$$x, y$$$ с $$$1\le x, y \le 2^k$$$, любое неотрицательное число $$$p$$$, и для каждого $$$i$$$ от $$$1$$$ до $$$n$$$ заменить число в клетке $$$(((x + x_i - 1)\bmod 2^k) + 1, ((y + y_i - 1)\bmod 2^k) + 1)$$$ на $$$a_{((x + x_i - 1)\bmod 2^k) + 1, ((y + y_i - 1)\bmod 2^k) + 1}\oplus p$$$.</p><p>Мы хотим сделать все числа равными $$$0$$$. Можем ли мы этого достичь? Если да, то найдите наименьшее возможное число операций, с помощью которых этого можно добиться.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит единственное целое число $$$k$$$ ($$$1 \le k \le 9$$$).</p><p>$$$i$$$-я из следующих $$$2^k$$$ строк содержит $$$2^k$$$ целых чисел $$$a_{i1}, a_{i2}, \dots, a_{i2^k}$$$ ($$$0 \le a_{ij} < 2^{60}$$$) — изначальные значения чисел в $$$i$$$-й строке доски.</p><p>Следующая строка содержит единственное целое число $$$t$$$ ($$$1\le t \le \min(99, 4^k)$$$, $$$t$$$ нечетное) — количество клеток фигуры.</p><p>$$$i$$$-я из следующих $$$t$$$ строк содержит два целых числа $$$x_i$$$ и $$$y_i$$$ ($$$1 \le x_i, y_i \le 2^k$$$), описывающих позицию $$$i$$$-й клетки фигуры.</p><p>Гарантируется, что все клетки различны, но <span class="tex-font-style-bf">не гарантируется, что фигура связная</span>. </p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно сделать все числа на доске равными $$$0$$$ с этими операциями, выведите $$$-1$$$.</p><p>Иначе, выведите единственное число — минимальное количество операций, необходимых, чтобы это сделать. Можно показать, что если возможно сделать все числа равными $$$0$$$, это можно сделать за не более чем $$$10^{18}$$$ операций.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 2 5 5 5 5 2 6 2 3 0 0 2 0 0 0 0 0 5 1 1 1 2 1 3 1 4 2 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3</pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Фигурка и операции для примера приведены ниже:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/1f5c9fd5964809bc1d06c5999ab7fdf4dc29b1e6.png" style="max-width: 100.0%;max-height: 100.0%;" /> </center></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=I]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); 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["\u0411\u044b\u0441\u0442\u0440\u043e\u0435 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u0424\u0443\u0440\u044c\u0435", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0431\u043f\u0444", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "*3500"]

1271A

1271

A

ru

A. Костюмы

<div class="problem-statement"><div class="header"><div class="title">A. Костюмы</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>В магазин привезли новую партию одежды, а именно $$$a$$$ галстуков, $$$b$$$ шарфов, $$$c$$$ жилеток и $$$d$$$ пиджаков.</p><p>Магазин специализируется на продаже костюмов. Бывают костюмы двух типов:</p><ul> <li> первый тип — костюм, состоящий из галстука и пиджака; </li><li> второй тип — костюм, состоящий из шарфа, жилетки и пиджака. </li></ul><p>Костюмы первого типа стоят $$$e$$$ монет, а костюмы второго — $$$f$$$ монет.</p><p>Определите максимальную суммарную стоимость костюмов, которые можно составить из новой партии одежды. Помните, что одна и та же вещь не может принадлежать сразу нескольким костюмам (хотя могут быть вещи, которые не будут использованы ни в каком костюме).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следует целое число $$$a$$$ $$$(1 \le a \le 100\,000)$$$ — количество галстуков.</p><p>Во второй строке следует целое число $$$b$$$ $$$(1 \le b \le 100\,000)$$$ — количество шарфов.</p><p>В третьей строке следует целое число $$$c$$$ $$$(1 \le c \le 100\,000)$$$ — количество жилеток.</p><p>В четвертой строке следует целое число $$$d$$$ $$$(1 \le d \le 100\,000)$$$ — количество пиджаков.</p><p>В пятой строке следует целое число $$$e$$$ $$$(1 \le e \le 1\,000)$$$ — стоимость одного костюма первого типа.</p><p>В шестой строке следует целое число $$$f$$$ $$$(1 \le f \le 1\,000)$$$ — стоимость одного костюма второго типа.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите целое число — максимальную суммарную стоимость костюмов, которые можно составить из новой партии одежды. </p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 5 6 3 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 12 11 13 20 4 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 102 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 17 14 5 21 15 17 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 325 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере нужно составить три костюма второго типа. Их суммарная стоимость будет равна $$$6$$$. После этого нельзя сделать ни одного костюма первого типа, так как изначально было всего три пиджака, которые уже использованы для костюмов второго типа.</p><p>Во втором примере можно составить девять костюмов первого типа и одиннадцать костюмов второго типа. Их суммарная стоимость равна $$$9 \cdot 4 + 11 \cdot 6 = 102$$$.</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_b18e6b5efb71858ba82983f1c4a59cd8fa901b07"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Костюмы</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>В магазин привезли новую партию одежды, а именно $$$a$$$ галстуков, $$$b$$$ шарфов, $$$c$$$ жилеток и $$$d$$$ пиджаков.</p><p>Магазин специализируется на продаже костюмов. Бывают костюмы двух типов:</p><ul> <li> первый тип — костюм, состоящий из галстука и пиджака; </li><li> второй тип — костюм, состоящий из шарфа, жилетки и пиджака. </li></ul><p>Костюмы первого типа стоят $$$e$$$ монет, а костюмы второго — $$$f$$$ монет.</p><p>Определите максимальную суммарную стоимость костюмов, которые можно составить из новой партии одежды. Помните, что одна и та же вещь не может принадлежать сразу нескольким костюмам (хотя могут быть вещи, которые не будут использованы ни в каком костюме).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следует целое число $$$a$$$ $$$(1 \le a \le 100\,000)$$$ — количество галстуков.</p><p>Во второй строке следует целое число $$$b$$$ $$$(1 \le b \le 100\,000)$$$ — количество шарфов.</p><p>В третьей строке следует целое число $$$c$$$ $$$(1 \le c \le 100\,000)$$$ — количество жилеток.</p><p>В четвертой строке следует целое число $$$d$$$ $$$(1 \le d \le 100\,000)$$$ — количество пиджаков.</p><p>В пятой строке следует целое число $$$e$$$ $$$(1 \le e \le 1\,000)$$$ — стоимость одного костюма первого типа.</p><p>В шестой строке следует целое число $$$f$$$ $$$(1 \le f \le 1\,000)$$$ — стоимость одного костюма второго типа.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите целое число — максимальную суммарную стоимость костюмов, которые можно составить из новой партии одежды. </p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 5 6 3 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 12 11 13 20 4 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 102 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 17 14 5 21 15 17 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 325 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере нужно составить три костюма второго типа. Их суммарная стоимость будет равна $$$6$$$. После этого нельзя сделать ни одного костюма первого типа, так как изначально было всего три пиджака, которые уже использованы для костюмов второго типа.</p><p>Во втором примере можно составить девять костюмов первого типа и одиннадцать костюмов второго типа. Их суммарная стоимость равна $$$9 \cdot 4 + 11 \cdot 6 = 102$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/34424"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u041f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "*800"]

1271B

1271

B

ru

B. Кубики

<div class="problem-statement"><div class="header"><div class="title">B. Кубики</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>На столе в ряд выложены $$$n$$$ кубиков, каждый из которых покрашен в черный или белый цвет. Кубики пронумерованы слева направо, начиная с единицы. </p><p>Вы можете ноль или более раз применить к последовательности кубиков следующую операцию: выбрать два <span class="tex-font-style-bf">соседних</span> кубика и инвертировать их цвета (заменить белый на чёрный, и наоборот).</p><p>Определите такую последовательность операций, что после их применения все кубики станут либо полностью белыми, либо полностью чёрными. Вам <span class="tex-font-style-bf">не нужно</span> минимизировать количество операций, но их количество не должно превосходить $$$3 \cdot n$$$. Если невозможно сделать все кубики одноцветными, сообщите об этом.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следует целое число $$$n$$$ ($$$2 \le n \le 200$$$) — количество кубиков.</p><p>Во второй строке следует строка $$$s$$$ длины $$$n$$$, состоящая из символов «<span class="tex-font-style-tt">W</span>» и «<span class="tex-font-style-tt">B</span>». Если $$$i$$$-й символ строки равен «<span class="tex-font-style-tt">W</span>», то $$$i$$$-й кубик изначально имеет белый цвет. Если $$$i$$$-й символ строки равен «<span class="tex-font-style-tt">B</span>», то $$$i$$$-й кубик изначально имеет чёрный цвет. </p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно сделать все кубики одноцветными с помощью описанных операций, выведите $$$-1$$$.</p><p>В противном случае, в первую строку выведите целое число $$$k$$$ ($$$0 \le k \le 3 \cdot n$$$) — количество операций, которые нужно произвести. Во второй строке выведите $$$k$$$ целых чисел $$$p_1, p_2, \dots, p_k$$$ $$$(1 \le p_j \le n - 1)$$$, где $$$p_j$$$ равно позиции левого из двух соседних кубиков, у которых нужно инвертировать цвета во время $$$j$$$-й операции.</p><p>Если ответов несколько, разрешается вывести любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 8 BWWWWWWB </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 6 2 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 BWBB </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 WWWWW </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 BWB </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 2 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере можно сделать все кубики чёрными, например, за $$$3$$$ операции. Сначала можно инвертировать цвета кубиков в позициях $$$6$$$ и $$$7$$$. После этого последовательность цветов кубиков будет выглядеть как «<span class="tex-font-style-tt">BWWWWBBB</span>». Затем можно инвертировать цвета кубиков в позициях $$$2$$$ и $$$3$$$. После этого последовательность цветов кубиков будет выглядеть как «<span class="tex-font-style-tt">BBBWWBBB</span>». В ходе третьей операции нужно инвертировать цвета кубиков в позициях $$$4$$$ и $$$5$$$. После этого все кубики станут чёрного цвета.</p><p>Во втором примере невозможно сделать все кубики одноцветными.</p><p>В третьем примере все кубики изначально имеют белый цвет, поэтому можно не использовать операции инвертирования цветов.</p><p>В четвертом примере можно сделать все кубики белыми за две операции. Сначала нужно инвертировать цвета кубиков $$$2$$$ и $$$3$$$ (последовательность цветов после этого будет выглядеть как «<span class="tex-font-style-tt">BBW</span>»), а затем инвертировать цвета кубиков $$$1$$$ и $$$2$$$ (после этого все кубики станут белого цвета).</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_652c8c68c342afcacb5497fcd350a81bd50fc4f4"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Кубики</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>На столе в ряд выложены $$$n$$$ кубиков, каждый из которых покрашен в черный или белый цвет. Кубики пронумерованы слева направо, начиная с единицы. </p><p>Вы можете ноль или более раз применить к последовательности кубиков следующую операцию: выбрать два <span class="tex-font-style-bf">соседних</span> кубика и инвертировать их цвета (заменить белый на чёрный, и наоборот).</p><p>Определите такую последовательность операций, что после их применения все кубики станут либо полностью белыми, либо полностью чёрными. Вам <span class="tex-font-style-bf">не нужно</span> минимизировать количество операций, но их количество не должно превосходить $$$3 \cdot n$$$. Если невозможно сделать все кубики одноцветными, сообщите об этом.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следует целое число $$$n$$$ ($$$2 \le n \le 200$$$) — количество кубиков.</p><p>Во второй строке следует строка $$$s$$$ длины $$$n$$$, состоящая из символов «<span class="tex-font-style-tt">W</span>» и «<span class="tex-font-style-tt">B</span>». Если $$$i$$$-й символ строки равен «<span class="tex-font-style-tt">W</span>», то $$$i$$$-й кубик изначально имеет белый цвет. Если $$$i$$$-й символ строки равен «<span class="tex-font-style-tt">B</span>», то $$$i$$$-й кубик изначально имеет чёрный цвет. </p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно сделать все кубики одноцветными с помощью описанных операций, выведите $$$-1$$$.</p><p>В противном случае, в первую строку выведите целое число $$$k$$$ ($$$0 \le k \le 3 \cdot n$$$) — количество операций, которые нужно произвести. Во второй строке выведите $$$k$$$ целых чисел $$$p_1, p_2, \dots, p_k$$$ $$$(1 \le p_j \le n - 1)$$$, где $$$p_j$$$ равно позиции левого из двух соседних кубиков, у которых нужно инвертировать цвета во время $$$j$$$-й операции.</p><p>Если ответов несколько, разрешается вывести любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 8 BWWWWWWB </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 6 2 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 BWBB </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 WWWWW </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 BWB </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 2 1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере можно сделать все кубики чёрными, например, за $$$3$$$ операции. Сначала можно инвертировать цвета кубиков в позициях $$$6$$$ и $$$7$$$. После этого последовательность цветов кубиков будет выглядеть как «<span class="tex-font-style-tt">BWWWWBBB</span>». Затем можно инвертировать цвета кубиков в позициях $$$2$$$ и $$$3$$$. После этого последовательность цветов кубиков будет выглядеть как «<span class="tex-font-style-tt">BBBWWBBB</span>». В ходе третьей операции нужно инвертировать цвета кубиков в позициях $$$4$$$ и $$$5$$$. После этого все кубики станут чёрного цвета.</p><p>Во втором примере невозможно сделать все кубики одноцветными.</p><p>В третьем примере все кубики изначально имеют белый цвет, поэтому можно не использовать операции инвертирования цветов.</p><p>В четвертом примере можно сделать все кубики белыми за две операции. Сначала нужно инвертировать цвета кубиков $$$2$$$ и $$$3$$$ (последовательность цветов после этого будет выглядеть как «<span class="tex-font-style-tt">BBW</span>»), а затем инвертировать цвета кубиков $$$1$$$ и $$$2$$$ (после этого все кубики станут белого цвета).</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/34424"); 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1271C

1271

C

ru

C. Ларек с шаурмой

<div class="problem-statement"><div class="header"><div class="title">C. Ларек с шаурмой</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>План столицы Берляндии представляет собой плоскость, причем все строения расположены в точках с целочисленными координатами, а пешеходными улицами являются отрезки, соединяющие каждую точку с четырьмя соседними. Все пешеходные улицы параллельны осям координат.</p><p>Известно, что школа в столице Берляндии расположена в точке $$$(s_x, s_y)$$$. В школе учатся $$$n$$$ учеников, причем $$$i$$$-й ученик живет в доме, который расположен в точке $$$(x_i, y_i)$$$. Допустимо, что несколько учеников живут в одном и том же доме, но никакой ученик не живет в точке $$$(s_x, s_y)$$$.</p><p>После занятий каждый ученик идет из школы до своего дома по улицам, причем каждый ученик обязательно идет до своего дома по какому-то из кратчайших путей. Таким образом, расстояние, которое преодолеет $$$i$$$-й ученик, чтобы добраться из школы до дома, равно $$$|s_x - x_i| + |s_y - y_i|$$$.</p><p>Министерство питания решило установить ларек с шаурмой в столице Берляндии в точке с целочисленными координатами. Считается, что $$$i$$$-й школьник купит шаурму в ларьке, если ларек находится на одном из кратчайших путей $$$i$$$-го школьника до дома. Запрещено ставить ларек с шаурмой в той же точке, в которой расположена школа, но разрешено ставить ларек в той точке, в которой расположен дом кого-то из учеников.</p><p>Определите максимальное количество школьников, которые смогут купить шаурму в ларьке, а также сообщите координаты для постройки ларька.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следует три целых числа $$$n$$$, $$$s_x$$$, $$$s_y$$$ ($$$1 \le n \le 200\,000$$$, $$$0 \le s_x, s_y \le 10^{9}$$$) — количество школьников и координаты школы.</p><p>В $$$i$$$-й из следующих $$$n$$$ строк следуют по два целых числа $$$x_i$$$, $$$y_i$$$ ($$$0 \le x_i, y_i \le 10^{9}$$$) — координаты дома $$$i$$$-го школьника. Координаты домов у некоторых школьников могут совпадать. Гарантируется, что дом никакого школьника не расположен в той же точке, что и школа.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первую строку выведите целое число $$$c$$$ — максимальное количество школьников, которые смогут купить шаурму в ларьке. </p><p>Во вторую строку выведите два целых числа $$$p_x$$$ и $$$p_y$$$ — координаты для постройки ларька. Если подходящих ответов несколько, разрешается вывести любой из них. Обратите внимание, что каждое из чисел $$$p_x$$$ и $$$p_y$$$ должно быть не менее $$$0$$$ и не более $$$10^{9}$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 2 1 3 4 2 5 1 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 4 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 100 100 0 0 0 0 100 200 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 99 100 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 10 12 5 6 20 23 15 4 16 5 4 54 12 1 4 15 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 10 11 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере нужно построить ларек с шаурмой в точке $$$(4, 2)$$$. Тогда три школьника его посетят. Это школьники, чьи дома расположены в точках $$$(4, 2)$$$, $$$(4, 1)$$$ и $$$(5, 1)$$$.</p><p>Во втором примере можно, например, построить ларек с шаурмой в точке $$$(1, 1)$$$. В таком случае оба школьника, дом которых расположен в точке $$$(0, 0)$$$, его посетят.</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_4e9dc2b13b0042e353149b3a533877ec97bd6919"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Ларек с шаурмой</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>План столицы Берляндии представляет собой плоскость, причем все строения расположены в точках с целочисленными координатами, а пешеходными улицами являются отрезки, соединяющие каждую точку с четырьмя соседними. Все пешеходные улицы параллельны осям координат.</p><p>Известно, что школа в столице Берляндии расположена в точке $$$(s_x, s_y)$$$. В школе учатся $$$n$$$ учеников, причем $$$i$$$-й ученик живет в доме, который расположен в точке $$$(x_i, y_i)$$$. Допустимо, что несколько учеников живут в одном и том же доме, но никакой ученик не живет в точке $$$(s_x, s_y)$$$.</p><p>После занятий каждый ученик идет из школы до своего дома по улицам, причем каждый ученик обязательно идет до своего дома по какому-то из кратчайших путей. Таким образом, расстояние, которое преодолеет $$$i$$$-й ученик, чтобы добраться из школы до дома, равно $$$|s_x - x_i| + |s_y - y_i|$$$.</p><p>Министерство питания решило установить ларек с шаурмой в столице Берляндии в точке с целочисленными координатами. Считается, что $$$i$$$-й школьник купит шаурму в ларьке, если ларек находится на одном из кратчайших путей $$$i$$$-го школьника до дома. Запрещено ставить ларек с шаурмой в той же точке, в которой расположена школа, но разрешено ставить ларек в той точке, в которой расположен дом кого-то из учеников.</p><p>Определите максимальное количество школьников, которые смогут купить шаурму в ларьке, а также сообщите координаты для постройки ларька.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следует три целых числа $$$n$$$, $$$s_x$$$, $$$s_y$$$ ($$$1 \le n \le 200\,000$$$, $$$0 \le s_x, s_y \le 10^{9}$$$) — количество школьников и координаты школы.</p><p>В $$$i$$$-й из следующих $$$n$$$ строк следуют по два целых числа $$$x_i$$$, $$$y_i$$$ ($$$0 \le x_i, y_i \le 10^{9}$$$) — координаты дома $$$i$$$-го школьника. Координаты домов у некоторых школьников могут совпадать. Гарантируется, что дом никакого школьника не расположен в той же точке, что и школа.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первую строку выведите целое число $$$c$$$ — максимальное количество школьников, которые смогут купить шаурму в ларьке. </p><p>Во вторую строку выведите два целых числа $$$p_x$$$ и $$$p_y$$$ — координаты для постройки ларька. Если подходящих ответов несколько, разрешается вывести любой из них. Обратите внимание, что каждое из чисел $$$p_x$$$ и $$$p_y$$$ должно быть не менее $$$0$$$ и не более $$$10^{9}$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 2 1 3 4 2 5 1 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 4 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 3 100 100 0 0 0 0 100 200 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 99 100 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 10 12 5 6 20 23 15 4 16 5 4 54 12 1 4 15 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 10 11 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере нужно построить ларек с шаурмой в точке $$$(4, 2)$$$. Тогда три школьника его посетят. Это школьники, чьи дома расположены в точках $$$(4, 2)$$$, $$$(4, 1)$$$ и $$$(5, 1)$$$.</p><p>Во втором примере можно, например, построить ларек с шаурмой в точке $$$(1, 1)$$$. 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["\u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f", "\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f", "\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "*1300"]

1271D

1271

D

ru

D. Порталы

<div class="problem-statement"><div class="header"><div class="title">D. Порталы</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вы играете в стратегическую компьютерную игру <span class="tex-font-style-it">(да, у нас закончились идеи для легенд задач)</span>. В этой игре вы управляете огромной армией, и ваша задача — захватить $$$n$$$ замков противника.</p><p>Рассмотрим игровой процесс более подробно. Изначально у вас в управлении армия из $$$k$$$ воинов. Противник контролирует $$$n$$$ замков; для захвата $$$i$$$-го замка вам потребуется $$$a_i$$$ воинов (считается, что каждый захват замка проводится без потерь, поэтому размер армии после захвата не меняется). После захвата каждого замка вы увеличиваете свою армию, нанимая воинов в новом замке — в $$$i$$$-м замке вы сможете нанять $$$b_i$$$ воинов. Помимо захвата замков, в каждом из них можно оставить охрану (только после захвата): если вы оставляете хотя бы одного воина в замке, то этот замок будет считаться <span class="tex-font-style-it">охраняемым</span>. У каждого замка есть параметр важности $$$c_i$$$, и успешность вашей стратегии определяется суммарной важностью всех охраняемых замков в конце игры. Оставлять охрану в замке можно двумя способами:</p><ul> <li> если вы находитесь в замке $$$i$$$, вы можете оставить одного воина для охраны замка $$$i$$$; </li><li> замки связаны $$$m$$$ односторонними порталами. Каждый портал характеризуется двумя номерами соединяемых замков $$$u$$$ и $$$v$$$ <span class="tex-font-style-it">(для каждого портала $$$u > v$$$)</span>. Порталами можно пользоваться следующим способом: если вы находитесь в замке $$$u$$$, вы можете отправить одного воина охранять замок $$$v$$$ через портал. </li></ul><p>Вы захватываете замки по очереди: сначала первый, потом второй, и так далее. После захвата замка $$$i$$$, пока вы не захватили замок $$$i + 1$$$, вы можете нанять воинов в замке $$$i$$$, оставить охрану в замке $$$i$$$, а также воспользоваться любым количеством порталов, ведущих из замка $$$i$$$ в замки с меньшими номерами. После того, как вы захватите следующий замок, эти действия для замка $$$i$$$ будут уже недоступны.</p><p>Если в какой-то момент вам не хватает воинов для захвата следующего замка, вы проигрываете. Ваша цель — максимизировать суммарную важность всех охраняемых замков после захвата последнего замка (обратите внимание, что вы можете нанимать воинов в последнем замке после его захвата, оставлять в нем охрану и пользоваться порталами — суммарная важность всех охраняемых замков будет подсчитана после всех ваших действий).</p><p>Можете ли вы разработать оптимальную стратегию захвата замков и оставления охраны?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных заданы три целых числа $$$n$$$, $$$m$$$ и $$$k$$$ ($$$1 \le n \le 5000$$$, $$$0 \le m \le \min(\frac{n(n - 1)}{2}, 3 \cdot 10^5)$$$, $$$0 \le k \le 5000$$$) — количество замков, количество порталов и изначальное количество воинов в вашей армии, соответственно.</p><p>Далее следуют $$$n$$$ строк, в $$$i$$$-й из которых содержится описание $$$i$$$-го замка — три целых числа $$$a_i$$$, $$$b_i$$$ и $$$c_i$$$ ($$$0 \le a_i, b_i, c_i \le 5000$$$) — количество воинов, требуемых для захвата замка $$$i$$$, количество воинов, которых можно нанять после захвата, и важность замка, соответственно.</p><p>Далее следуют $$$m$$$ строк, в $$$i$$$-й из которых содержится описание $$$i$$$-го портала — два целых числа $$$u_i$$$ и $$$v_i$$$ ($$$1 \le v_i < u_i \le n$$$), соответствующих порталу, который ведет из замка $$$u_i$$$ в замок $$$v_i$$$. Не существует двух одинаковых порталов.</p><p>Гарантируется, что размер вашей армии ни при каких условиях не может превысить $$$5000$$$ (то есть $$$k + \sum\limits_{i = 1}^{n} b_i \le 5000$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно захватить все замки ни при каких обстоятельствах, выведите одно целое число $$$-1$$$.</p><p>Иначе выведите одно целое число — максимальную суммарную важность всех охраняемых замков в конце игры.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 7 7 4 17 3 0 8 11 2 0 13 3 5 3 1 2 1 4 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 3 7 7 4 17 3 0 8 11 2 0 13 3 5 3 1 2 1 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 22 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 3 7 7 4 17 3 0 8 11 2 0 14 3 5 3 1 2 1 4 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Лучшая стратегия в первом примере — следующая:</p><ol> <li> захватить первый замок; </li><li> нанять солдат в первом замке, теперь у вас $$$11$$$ солдат; </li><li> захватить второй замок; </li><li> захватить третий замок; </li><li> нанять солдат в третьем замке, теперь у вас $$$13$$$ солдат; </li><li> захватить четвертый замок; </li><li> оставить одного воина в четвертом замке, теперь у вас $$$12$$$ солдат. </li></ol><p>Эта стратегия (и некоторые другие) дает в результате суммарную важность охраняемых замков, равную $$$5$$$.</p><p>Лучшая стратегия во втором примере — следующая:</p><ol> <li> захватить первый замок; </li><li> нанять солдат в первом замке, теперь у вас $$$11$$$ солдат; </li><li> захватить второй замок; </li><li> захватить третий замок; </li><li> нанять солдат в третьем замке, теперь у вас $$$13$$$ солдат; </li><li> захватить четвертый замок; </li><li> оставить одного воина в четвертом замке, теперь у вас $$$12$$$ солдат; </li><li> отправить одного воина в первый замок через третий портал, теперь у вас $$$11$$$ солдат. </li></ol><p>Эта стратегия (и некоторые другие) дает в результате суммарную важность охраняемых замков, равную $$$22$$$.</p><p>В третьем примере нельзя захватить последний замок: для этого нужны $$$14$$$ воинов, но вы можете собрать не более $$$13$$$ до захвата последнего замка.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72164" title="Codeforces Round #608 (Div. 2, по задачам Саратовского муниципального этапа ВОШ)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10066:10067" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72247" title="72247" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10094:10095" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1271">Задачи</a></li> <li><a href="/contest/1271/submit">Отослать</a></li> <li><a href="/contest/1271/my">Мои посылки</a></li> <li><a href="/contest/1271/status">Статус</a></li> <li><a href="/contest/1271/hacks">Взломы</a></li> <li><a href="/contest/1271/room/1">Комната</a></li> <li><a href="/contest/1271/standings">Положение</a></li> <li><a href="/contest/1271/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_c1109dfa6c6a563367780b9320b6bb160dc63011"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Порталы</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вы играете в стратегическую компьютерную игру <span class="tex-font-style-it">(да, у нас закончились идеи для легенд задач)</span>. В этой игре вы управляете огромной армией, и ваша задача — захватить $$$n$$$ замков противника.</p><p>Рассмотрим игровой процесс более подробно. Изначально у вас в управлении армия из $$$k$$$ воинов. Противник контролирует $$$n$$$ замков; для захвата $$$i$$$-го замка вам потребуется $$$a_i$$$ воинов (считается, что каждый захват замка проводится без потерь, поэтому размер армии после захвата не меняется). После захвата каждого замка вы увеличиваете свою армию, нанимая воинов в новом замке — в $$$i$$$-м замке вы сможете нанять $$$b_i$$$ воинов. Помимо захвата замков, в каждом из них можно оставить охрану (только после захвата): если вы оставляете хотя бы одного воина в замке, то этот замок будет считаться <span class="tex-font-style-it">охраняемым</span>. У каждого замка есть параметр важности $$$c_i$$$, и успешность вашей стратегии определяется суммарной важностью всех охраняемых замков в конце игры. Оставлять охрану в замке можно двумя способами:</p><ul> <li> если вы находитесь в замке $$$i$$$, вы можете оставить одного воина для охраны замка $$$i$$$; </li><li> замки связаны $$$m$$$ односторонними порталами. Каждый портал характеризуется двумя номерами соединяемых замков $$$u$$$ и $$$v$$$ <span class="tex-font-style-it">(для каждого портала $$$u > v$$$)</span>. Порталами можно пользоваться следующим способом: если вы находитесь в замке $$$u$$$, вы можете отправить одного воина охранять замок $$$v$$$ через портал. </li></ul><p>Вы захватываете замки по очереди: сначала первый, потом второй, и так далее. После захвата замка $$$i$$$, пока вы не захватили замок $$$i + 1$$$, вы можете нанять воинов в замке $$$i$$$, оставить охрану в замке $$$i$$$, а также воспользоваться любым количеством порталов, ведущих из замка $$$i$$$ в замки с меньшими номерами. После того, как вы захватите следующий замок, эти действия для замка $$$i$$$ будут уже недоступны.</p><p>Если в какой-то момент вам не хватает воинов для захвата следующего замка, вы проигрываете. Ваша цель — максимизировать суммарную важность всех охраняемых замков после захвата последнего замка (обратите внимание, что вы можете нанимать воинов в последнем замке после его захвата, оставлять в нем охрану и пользоваться порталами — суммарная важность всех охраняемых замков будет подсчитана после всех ваших действий).</p><p>Можете ли вы разработать оптимальную стратегию захвата замков и оставления охраны?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных заданы три целых числа $$$n$$$, $$$m$$$ и $$$k$$$ ($$$1 \le n \le 5000$$$, $$$0 \le m \le \min(\frac{n(n - 1)}{2}, 3 \cdot 10^5)$$$, $$$0 \le k \le 5000$$$) — количество замков, количество порталов и изначальное количество воинов в вашей армии, соответственно.</p><p>Далее следуют $$$n$$$ строк, в $$$i$$$-й из которых содержится описание $$$i$$$-го замка — три целых числа $$$a_i$$$, $$$b_i$$$ и $$$c_i$$$ ($$$0 \le a_i, b_i, c_i \le 5000$$$) — количество воинов, требуемых для захвата замка $$$i$$$, количество воинов, которых можно нанять после захвата, и важность замка, соответственно.</p><p>Далее следуют $$$m$$$ строк, в $$$i$$$-й из которых содержится описание $$$i$$$-го портала — два целых числа $$$u_i$$$ и $$$v_i$$$ ($$$1 \le v_i < u_i \le n$$$), соответствующих порталу, который ведет из замка $$$u_i$$$ в замок $$$v_i$$$. Не существует двух одинаковых порталов.</p><p>Гарантируется, что размер вашей армии ни при каких условиях не может превысить $$$5000$$$ (то есть $$$k + \sum\limits_{i = 1}^{n} b_i \le 5000$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если невозможно захватить все замки ни при каких обстоятельствах, выведите одно целое число $$$-1$$$.</p><p>Иначе выведите одно целое число — максимальную суммарную важность всех охраняемых замков в конце игры.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 3 7 7 4 17 3 0 8 11 2 0 13 3 5 3 1 2 1 4 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 3 7 7 4 17 3 0 8 11 2 0 13 3 5 3 1 2 1 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 22 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 4 3 7 7 4 17 3 0 8 11 2 0 14 3 5 3 1 2 1 4 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Лучшая стратегия в первом примере — следующая:</p><ol> <li> захватить первый замок; </li><li> нанять солдат в первом замке, теперь у вас $$$11$$$ солдат; </li><li> захватить второй замок; </li><li> захватить третий замок; </li><li> нанять солдат в третьем замке, теперь у вас $$$13$$$ солдат; </li><li> захватить четвертый замок; </li><li> оставить одного воина в четвертом замке, теперь у вас $$$12$$$ солдат. </li></ol><p>Эта стратегия (и некоторые другие) дает в результате суммарную важность охраняемых замков, равную $$$5$$$.</p><p>Лучшая стратегия во втором примере — следующая:</p><ol> <li> захватить первый замок; </li><li> нанять солдат в первом замке, теперь у вас $$$11$$$ солдат; </li><li> захватить второй замок; </li><li> захватить третий замок; </li><li> нанять солдат в третьем замке, теперь у вас $$$13$$$ солдат; </li><li> захватить четвертый замок; </li><li> оставить одного воина в четвертом замке, теперь у вас $$$12$$$ солдат; </li><li> отправить одного воина в первый замок через третий портал, теперь у вас $$$11$$$ солдат. </li></ol><p>Эта стратегия (и некоторые другие) дает в результате суммарную важность охраняемых замков, равную $$$22$$$.</p><p>В третьем примере нельзя захватить последний замок: для этого нужны $$$14$$$ воинов, но вы можете собрать не более $$$13$$$ до захвата последнего замка.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); 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["\u0434\u043f", "\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*2100"]

1271E

1271

E

ru

E. Общее число

<div class="problem-statement"><div class="header"><div class="title">E. Общее число</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Введем определение функции $$$f(x)$$$: $$$$$$ \begin{matrix} f(x) & = & \left\{ \begin{matrix} \frac{x}{2} & \mbox{если } x \text{ четное} \\ x - 1 & \mbox{в противном случае } \end{matrix} \right. \end{matrix} $$$$$$</p><p>Можно заметить, что если мы выбираем некоторое число $$$v$$$ и применяем к нему функцию $$$f$$$, затем применяем функцию $$$f$$$ к числу $$$f(v)$$$, и так далее, то рано или поздно мы получим значение $$$1$$$. Выпишем все промежуточные значения на пути от $$$v$$$ до $$$1$$$ и назовем все выписанные значения $$$path(v)$$$. Например, $$$path(1) = [1]$$$, $$$path(15) = [15, 14, 7, 6, 3, 2, 1]$$$, $$$path(32) = [32, 16, 8, 4, 2, 1]$$$.</p><p>Выпишем все $$$path(x)$$$ для всех $$$x$$$ от $$$1$$$ до $$$n$$$. Перед вами стоит задача: определить максимальное число $$$m$$$ такое, что $$$m$$$ встречается хотя бы в $$$k$$$ различных $$$path(x)$$$. </p><p>Иначе говоря, нужно найти такое максимальное $$$y$$$, что $$$\left| \{ x ~|~ 1 \le x \le n, y \in path(x) \} \right| \ge k$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следуют два целых числа $$$n$$$ и $$$k$$$ ($$$1 \le k \le n \le 10^{18}$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите максимальное число $$$m$$$ такое, что $$$m$$$ встречается хотя бы в $$$k$$$ различных $$$path(x)$$$. </p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 11 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 11 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 20 20 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 14 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1000000 100 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 31248 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере ответ равен $$$5$$$, так как $$$5$$$ встретится в $$$path(5)$$$, в $$$path(10)$$$ и в $$$path(11)$$$.</p><p>Во втором примере ответ равен $$$4$$$, так как $$$4$$$ встретится в $$$path(4)$$$, в $$$path(5)$$$, в $$$path(8)$$$, в $$$path(9)$$$, в $$$path(10)$$$ и в $$$path(11)$$$.</p><p>В третьем примере $$$n = k$$$, поэтому ответ равен $$$1$$$, так как $$$1$$$ это единственное число, содержащееся в путях всех чисел от $$$1$$$ до $$$20$$$.</p></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_313a4563464709d971cad36569a072729e55eb9c"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Общее число</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Введем определение функции $$$f(x)$$$: $$$$$$ \begin{matrix} f(x) & = & \left\{ \begin{matrix} \frac{x}{2} & \mbox{если } x \text{ четное} \\ x - 1 & \mbox{в противном случае } \end{matrix} \right. \end{matrix} $$$$$$</p><p>Можно заметить, что если мы выбираем некоторое число $$$v$$$ и применяем к нему функцию $$$f$$$, затем применяем функцию $$$f$$$ к числу $$$f(v)$$$, и так далее, то рано или поздно мы получим значение $$$1$$$. Выпишем все промежуточные значения на пути от $$$v$$$ до $$$1$$$ и назовем все выписанные значения $$$path(v)$$$. Например, $$$path(1) = [1]$$$, $$$path(15) = [15, 14, 7, 6, 3, 2, 1]$$$, $$$path(32) = [32, 16, 8, 4, 2, 1]$$$.</p><p>Выпишем все $$$path(x)$$$ для всех $$$x$$$ от $$$1$$$ до $$$n$$$. Перед вами стоит задача: определить максимальное число $$$m$$$ такое, что $$$m$$$ встречается хотя бы в $$$k$$$ различных $$$path(x)$$$. </p><p>Иначе говоря, нужно найти такое максимальное $$$y$$$, что $$$\left| \{ x ~|~ 1 \le x \le n, y \in path(x) \} \right| \ge k$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке следуют два целых числа $$$n$$$ и $$$k$$$ ($$$1 \le k \le n \le 10^{18}$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите максимальное число $$$m$$$ такое, что $$$m$$$ встречается хотя бы в $$$k$$$ различных $$$path(x)$$$. </p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 11 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 11 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 20 20 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 14 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 1000000 100 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 31248 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере ответ равен $$$5$$$, так как $$$5$$$ встретится в $$$path(5)$$$, в $$$path(10)$$$ и в $$$path(11)$$$.</p><p>Во втором примере ответ равен $$$4$$$, так как $$$4$$$ встретится в $$$path(4)$$$, в $$$path(5)$$$, в $$$path(8)$$$, в $$$path(9)$$$, в $$$path(10)$$$ и в $$$path(11)$$$.</p><p>В третьем примере $$$n = k$$$, поэтому ответ равен $$$1$$$, так как $$$1$$$ это единственное число, содержащееся в путях всех чисел от $$$1$$$ до $$$20$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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["\u0411\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u041a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0431\u0438\u043d\u0430\u0440\u043d\u044b\u0439 \u043f\u043e\u0438\u0441\u043a", "\u0434\u043f", "\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "*2100"]

1271F

1271

F

ru

F. Разделение студентов

<div class="problem-statement"><div class="header"><div class="title">F. Разделение студентов</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>8 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Недавно было очередное зачисление новых студентов в Берляндский государственный университет (БГУ). Все студенты при поступлении попадают в группу в зависимости от факультета и направления. Некоторые группы могут получиться очень большими, и тогда группу делят на две подгруппы, которые посещают занятия отдельно друг от друга. Вам нужно помочь разделить группы студентов, принятых на факультет информационных технологий.</p><p>Всего на факультет поступило $$$t$$$ разных групп. Студенты каждой группы будут посещать занятия по трём дисциплинам — математике, программированию и физкультуре. Все эти занятия проводятся в разных местах — занятия по математике проходят в лекционных аудиториях, по программированию — в компьютерных классах, по физкультуре — в спортзалах.</p><p>Каждую группу необходимо разделить на две подгруппы так, чтобы в каждой подгруппе количество студентов на каждом занятии не превышало вместимость аудитории, класса или спортзала. У первой подгруппы $$$i$$$-й группы занятия по математике проводятся в аудитории, вмещающей не более $$$a_{i, 1}$$$ студентов; по программированию — в классе, вмещающем не более $$$b_{i, 1}$$$ студентов; по физкультуре — в спортзале, вмещающем не более $$$c_{i, 1}$$$ студентов. Аналогично со второй подгруппой — на занятиях по математике, программированию и физкультуре может поместиться не более $$$a_{i, 2}$$$, $$$b_{i, 2}$$$ и $$$c_{i, 2}$$$ студентов, соответственно.</p><p>Как известно, студенты часто пропускают занятия. У каждого студента есть какое-то количество (от $$$0$$$ до $$$3$$$) предметов, которые он считает бесполезными — а значит, не посещает ни одного занятия по этим предметам (а на занятия по остальным предметам он приходит). Эти данные вам были предоставлены в следующем формате — $$$i$$$-я группа состоит из:</p><ol> <li> $$$d_{i, 1}$$$ студентов, посещающих все занятия; </li><li> $$$d_{i, 2}$$$ студентов, посещающих все занятия, кроме физкультуры; </li><li> $$$d_{i, 3}$$$ студентов, посещающих все занятия, кроме программирования; </li><li> $$$d_{i, 4}$$$ студентов, посещающих только математику; </li><li> $$$d_{i, 5}$$$ студентов, посещающих все занятия, кроме математики; </li><li> $$$d_{i, 6}$$$ студентов, посещающих только программирование; </li><li> $$$d_{i, 7}$$$ студентов, посещающих только физкультуру. </li></ol><p>Отметим, что есть и восьмой тип студентов — те, кто не посещает университет вообще. Но так как на места в аудиториях они (по очевидным причинам) не претендуют, данные о количестве таких студентов вас не интересуют.</p><p>Теперь перед вами стоит следующая задача: определить, как разделить каждую группу на две подгруппы таким образом, чтобы в каждой аудитории (или в компьютерном классе, или в спортзале, в зависимости от занятия) хватало места для всех студентов из подгруппы, приходящих на это занятие (если это вообще возможно). Каждый студент из $$$i$$$-й группы должен быть определен ровно в одну подгруппу $$$i$$$-й группы; перемещать студентов между группами запрещено.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$t$$$ ($$$1 \le t \le 300$$$) — количество групп.</p><p>Далее следуют описания групп. Описание $$$i$$$-й группы состоит из трех строк:</p><ul> <li> в первой строке заданы три целых числа $$$a_{i, 1}$$$, $$$b_{i, 1}$$$ и $$$c_{i, 1}$$$ ($$$1 \le a_{i, 1}, b_{i, 1}, c_{i, 1} \le 3000$$$) — вместимость лекционной аудитории, компьютерного класса и спортзала для первой подгруппы $$$i$$$-й группы соответственно; </li><li> во второй строке заданы три целых числа $$$a_{i, 2}$$$, $$$b_{i, 2}$$$ и $$$c_{i, 2}$$$ ($$$1 \le a_{i, 2}, b_{i, 2}, c_{i, 2} \le 3000$$$) — вместимость лекционной аудитории, компьютерного класса и спортзала для второй подгруппы $$$i$$$-й группы соответственно; </li><li> в третьей строке заданы семь целых чисел $$$d_{i, 1}$$$, $$$d_{i, 2}$$$, ..., $$$d_{i, 7}$$$ ($$$0 \le d_{i, j} \le 3000$$$) — количество студентов каждого из описанных в условии семи типов в $$$i$$$-й группе. <span class="tex-font-style-bf">Не гарантируется</span>, что сумма этих чисел будет отличной от нуля — группа вполне может состоять из студентов, не ходящих на занятия вообще. </li></ul><p>Гарантируется, что суммарное количество студентов во всех группах не превосходит $$$3000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для всех групп выведите результат разделения группы в следующем формате:</p><ul> <li> если группу разделить невозможно, выведите одно целое число $$$-1$$$; </li><li> иначе выведите семь целых чисел $$$f_{i, 1}$$$, $$$f_{i, 2}$$$, ..., $$$f_{i, 7}$$$ ($$$0 \le f_{i, j} \le d_{i, j}$$$) — количество студентов каждого типа в первой подгруппе $$$i$$$-й группы (все остальные студенты из группы автоматически определяются во вторую подгруппу). Если ответов несколько, выведите любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 9 4 13 1 10 3 1 2 3 4 5 6 7 9 4 13 1 10 3 2 1 3 4 5 6 7 1 2 3 4 5 6 0 0 0 0 0 0 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 3 4 2 0 7 -1 0 0 0 0 0 0 0 </pre></div></div></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72164" title="Codeforces Round #608 (Div. 2, по задачам Саратовского муниципального этапа ВОШ)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10066:10067" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="https://codeforces.com/blog/entry/72247" title="72247" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10094:10095" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1271">Задачи</a></li> <li><a href="/contest/1271/submit">Отослать</a></li> <li><a href="/contest/1271/my">Мои посылки</a></li> <li><a href="/contest/1271/status">Статус</a></li> <li><a href="/contest/1271/hacks">Взломы</a></li> <li><a href="/contest/1271/room/1">Комната</a></li> <li><a href="/contest/1271/standings">Положение</a></li> <li><a href="/contest/1271/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_bf923e71b6f274e771c3e332ab27086d7bdb1117"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Разделение студентов</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>8 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Недавно было очередное зачисление новых студентов в Берляндский государственный университет (БГУ). Все студенты при поступлении попадают в группу в зависимости от факультета и направления. Некоторые группы могут получиться очень большими, и тогда группу делят на две подгруппы, которые посещают занятия отдельно друг от друга. Вам нужно помочь разделить группы студентов, принятых на факультет информационных технологий.</p><p>Всего на факультет поступило $$$t$$$ разных групп. Студенты каждой группы будут посещать занятия по трём дисциплинам — математике, программированию и физкультуре. Все эти занятия проводятся в разных местах — занятия по математике проходят в лекционных аудиториях, по программированию — в компьютерных классах, по физкультуре — в спортзалах.</p><p>Каждую группу необходимо разделить на две подгруппы так, чтобы в каждой подгруппе количество студентов на каждом занятии не превышало вместимость аудитории, класса или спортзала. У первой подгруппы $$$i$$$-й группы занятия по математике проводятся в аудитории, вмещающей не более $$$a_{i, 1}$$$ студентов; по программированию — в классе, вмещающем не более $$$b_{i, 1}$$$ студентов; по физкультуре — в спортзале, вмещающем не более $$$c_{i, 1}$$$ студентов. Аналогично со второй подгруппой — на занятиях по математике, программированию и физкультуре может поместиться не более $$$a_{i, 2}$$$, $$$b_{i, 2}$$$ и $$$c_{i, 2}$$$ студентов, соответственно.</p><p>Как известно, студенты часто пропускают занятия. У каждого студента есть какое-то количество (от $$$0$$$ до $$$3$$$) предметов, которые он считает бесполезными — а значит, не посещает ни одного занятия по этим предметам (а на занятия по остальным предметам он приходит). Эти данные вам были предоставлены в следующем формате — $$$i$$$-я группа состоит из:</p><ol> <li> $$$d_{i, 1}$$$ студентов, посещающих все занятия; </li><li> $$$d_{i, 2}$$$ студентов, посещающих все занятия, кроме физкультуры; </li><li> $$$d_{i, 3}$$$ студентов, посещающих все занятия, кроме программирования; </li><li> $$$d_{i, 4}$$$ студентов, посещающих только математику; </li><li> $$$d_{i, 5}$$$ студентов, посещающих все занятия, кроме математики; </li><li> $$$d_{i, 6}$$$ студентов, посещающих только программирование; </li><li> $$$d_{i, 7}$$$ студентов, посещающих только физкультуру. </li></ol><p>Отметим, что есть и восьмой тип студентов — те, кто не посещает университет вообще. Но так как на места в аудиториях они (по очевидным причинам) не претендуют, данные о количестве таких студентов вас не интересуют.</p><p>Теперь перед вами стоит следующая задача: определить, как разделить каждую группу на две подгруппы таким образом, чтобы в каждой аудитории (или в компьютерном классе, или в спортзале, в зависимости от занятия) хватало места для всех студентов из подгруппы, приходящих на это занятие (если это вообще возможно). Каждый студент из $$$i$$$-й группы должен быть определен ровно в одну подгруппу $$$i$$$-й группы; перемещать студентов между группами запрещено.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке задано одно целое число $$$t$$$ ($$$1 \le t \le 300$$$) — количество групп.</p><p>Далее следуют описания групп. Описание $$$i$$$-й группы состоит из трех строк:</p><ul> <li> в первой строке заданы три целых числа $$$a_{i, 1}$$$, $$$b_{i, 1}$$$ и $$$c_{i, 1}$$$ ($$$1 \le a_{i, 1}, b_{i, 1}, c_{i, 1} \le 3000$$$) — вместимость лекционной аудитории, компьютерного класса и спортзала для первой подгруппы $$$i$$$-й группы соответственно; </li><li> во второй строке заданы три целых числа $$$a_{i, 2}$$$, $$$b_{i, 2}$$$ и $$$c_{i, 2}$$$ ($$$1 \le a_{i, 2}, b_{i, 2}, c_{i, 2} \le 3000$$$) — вместимость лекционной аудитории, компьютерного класса и спортзала для второй подгруппы $$$i$$$-й группы соответственно; </li><li> в третьей строке заданы семь целых чисел $$$d_{i, 1}$$$, $$$d_{i, 2}$$$, ..., $$$d_{i, 7}$$$ ($$$0 \le d_{i, j} \le 3000$$$) — количество студентов каждого из описанных в условии семи типов в $$$i$$$-й группе. <span class="tex-font-style-bf">Не гарантируется</span>, что сумма этих чисел будет отличной от нуля — группа вполне может состоять из студентов, не ходящих на занятия вообще. </li></ul><p>Гарантируется, что суммарное количество студентов во всех группах не превосходит $$$3000$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для всех групп выведите результат разделения группы в следующем формате:</p><ul> <li> если группу разделить невозможно, выведите одно целое число $$$-1$$$; </li><li> иначе выведите семь целых чисел $$$f_{i, 1}$$$, $$$f_{i, 2}$$$, ..., $$$f_{i, 7}$$$ ($$$0 \le f_{i, j} \le d_{i, j}$$$) — количество студентов каждого типа в первой подгруппе $$$i$$$-й группы (все остальные студенты из группы автоматически определяются во вторую подгруппу). Если ответов несколько, выведите любой из них. </li></ul></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 9 4 13 1 10 3 1 2 3 4 5 6 7 9 4 13 1 10 3 2 1 3 4 5 6 7 1 2 3 4 5 6 0 0 0 0 0 0 0 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 3 4 2 0 7 -1 0 0 0 0 0 0 0 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); 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["\u041f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "*2700"]

1272A

1272

A

ru

A. Три друга

<div class="problem-statement"><div class="header"><div class="title">A. Три друга</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Три друга хотят встретиться друг с другом. Изначально первый друг находится в позиции $$$x = a$$$, второй друг находится в позиции $$$x = b$$$, а третий находится в позиции $$$x = c$$$ на координатной оси $$$Ox$$$.</p><p>За одну минуту <span class="tex-font-style-bf">каждый из друзей независимо</span> от других друзей может изменить позицию $$$x$$$ на $$$1$$$ влево или на $$$1$$$ вправо (то есть присвоить $$$x := x - 1$$$ или $$$x := x + 1$$$), или даже не менять ее.</p><p>Введем понятие суммарной попарной дистанции — суммы дистанций между каждой парой друзей. Пусть $$$a'$$$, $$$b'$$$ и $$$c'$$$ — финальные позиции первого, второго и третьего друзей соответственно. Тогда суммарная попарная дистанция равна $$$|a' - b'| + |a' - c'| + |b' - c'|$$$, где $$$|x|$$$ — абсолютная величина (модуль) значения $$$x$$$.</p><p>Друзья интересуются, какой минимальной суммарной попарной дистанции они смогут достичь, если они будут двигаться оптимально. <span class="tex-font-style-bf">Каждый из друзей сдвинется не более одного раза</span>. Таким образом, более формально, они хотят знать минимальную суммарную попарную дистанцию, которой они могут достичь спустя одну минуту.</p><p>Вам необходимо ответить на $$$q$$$ независимых наборов входных данных.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$q$$$ ($$$1 \le q \le 1000$$$) — количество наборов входных данных.</p><p>Следующие $$$q$$$ строк описывают наборы входных данных. $$$i$$$-й набор входных данных описывается тремя целыми числами $$$a, b$$$ и $$$c$$$ ($$$1 \le a, b, c \le 10^9$$$) — изначальными позициями первого, второго и третьего друзей, соответственно. Позиции друзей могут совпадать.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ на каждый набор входных данных — минимальную суммарную попарную дистанцию (минимальную сумму дистанций между каждой парой друзей), если друзья изменят их позиции оптимально. <span class="tex-font-style-bf">Каждый из друзей сдвинется не более одного раза</span>. Таким образом, более формально, вам необходимо найти минимальную суммарную попарную дистанцию, которой они могут достичь спустя одну минуту.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 8 3 3 4 10 20 30 5 5 5 2 4 3 1 1000000000 1000000000 1 1000000000 999999999 3 2 5 3 2 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 36 0 0 1999999994 1999999994 2 4 </pre></div></div></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72086" title="Codeforces Round #605 (Div. 3)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11336:11337" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72132" title="Разбор Codeforces Round #605 (Div. 3)" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11334:11335" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1272">Задачи</a></li> <li><a href="/contest/1272/submit">Отослать</a></li> <li><a href="/contest/1272/my">Мои посылки</a></li> <li><a href="/contest/1272/status">Статус</a></li> <li><a href="/contest/1272/hacks">Взломы</a></li> <li><a href="/contest/1272/standings">Положение</a></li> <li><a href="/contest/1272/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_c7c9efc87f12a3c83e5ba7f96878e2109d6c39d9"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Три друга</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Три друга хотят встретиться друг с другом. Изначально первый друг находится в позиции $$$x = a$$$, второй друг находится в позиции $$$x = b$$$, а третий находится в позиции $$$x = c$$$ на координатной оси $$$Ox$$$.</p><p>За одну минуту <span class="tex-font-style-bf">каждый из друзей независимо</span> от других друзей может изменить позицию $$$x$$$ на $$$1$$$ влево или на $$$1$$$ вправо (то есть присвоить $$$x := x - 1$$$ или $$$x := x + 1$$$), или даже не менять ее.</p><p>Введем понятие суммарной попарной дистанции — суммы дистанций между каждой парой друзей. Пусть $$$a'$$$, $$$b'$$$ и $$$c'$$$ — финальные позиции первого, второго и третьего друзей соответственно. Тогда суммарная попарная дистанция равна $$$|a' - b'| + |a' - c'| + |b' - c'|$$$, где $$$|x|$$$ — абсолютная величина (модуль) значения $$$x$$$.</p><p>Друзья интересуются, какой минимальной суммарной попарной дистанции они смогут достичь, если они будут двигаться оптимально. <span class="tex-font-style-bf">Каждый из друзей сдвинется не более одного раза</span>. Таким образом, более формально, они хотят знать минимальную суммарную попарную дистанцию, которой они могут достичь спустя одну минуту.</p><p>Вам необходимо ответить на $$$q$$$ независимых наборов входных данных.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$q$$$ ($$$1 \le q \le 1000$$$) — количество наборов входных данных.</p><p>Следующие $$$q$$$ строк описывают наборы входных данных. $$$i$$$-й набор входных данных описывается тремя целыми числами $$$a, b$$$ и $$$c$$$ ($$$1 \le a, b, c \le 10^9$$$) — изначальными позициями первого, второго и третьего друзей, соответственно. Позиции друзей могут совпадать.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ на каждый набор входных данных — минимальную суммарную попарную дистанцию (минимальную сумму дистанций между каждой парой друзей), если друзья изменят их позиции оптимально. <span class="tex-font-style-bf">Каждый из друзей сдвинется не более одного раза</span>. Таким образом, более формально, вам необходимо найти минимальную суммарную попарную дистанцию, которой они могут достичь спустя одну минуту.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 8 3 3 4 10 20 30 5 5 5 2 4 3 1 1000000000 1000000000 1 1000000000 999999999 3 2 5 3 2 6 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 36 0 0 1999999994 1999999994 2 4 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u041f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0421\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438, \u0443\u043f\u043e\u0440\u044f\u0434\u043e\u0447\u0435\u043d\u0438\u044f", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0441\u043e\u0440\u0442\u0438\u0440\u043e\u0432\u043a\u0438", "*900"]

1272B

1272

B

ru

B. Робот-cнегоход

<div class="problem-statement"><div class="header"><div class="title">B. Робот-cнегоход</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Недавно вы купили робота-снегохода и принесли его домой. Ваш дом — это клетка $$$(0, 0)$$$ на бесконечной координатной сетке.</p><p>Вы также получили последовательность инструкций этого робота. Она записана в виде строки $$$s$$$, состоящей из символов '<span class="tex-font-style-tt">L</span>', '<span class="tex-font-style-tt">R</span>', '<span class="tex-font-style-tt">U</span>' и '<span class="tex-font-style-tt">D</span>'. Если сейчас робот находится в клетке $$$(x, y)$$$, он может передвинуться в одну из смежных клеток (зависит от текущей инструкции).</p><ul> <li> Если текущая инструкция — '<span class="tex-font-style-tt">L</span>', тогда робот может передвинуться влево в $$$(x - 1, y)$$$; </li><li> если текущая инструкция — '<span class="tex-font-style-tt">R</span>', тогда робот может передвинуться вправо в $$$(x + 1, y)$$$; </li><li> если текущая инструкция — '<span class="tex-font-style-tt">U</span>', тогда робот может передвинуться вверх в $$$(x, y + 1)$$$; </li><li> если текущая инструкция — '<span class="tex-font-style-tt">D</span>', тогда робот может передвинуться вниз в $$$(x, y - 1)$$$. </li></ul><p>Вы заметили предупреждение на последней странице руководства: если робот посетит какую-то клетку (<span class="tex-font-style-bf">кроме</span> $$$(0, 0)$$$) дважды, то он сломается.</p><p>Таким образом, последовательность инструкций является корректной, если робот начинает в клетке $$$(0, 0)$$$, выполняет заданные инструкции, не посещает никакую клетку, кроме $$$(0, 0)$$$, два или более раз и заканчивает свой путь в клетке $$$(0, 0)$$$. Также клетка $$$(0, 0)$$$ должна быть посещена <span class="tex-font-style-bf">не более</span> двух раз: в начале и в конце (если путь пустой, то она будет посещена только единожды). Например, следующие последовательности инструкций являются корректными: «<span class="tex-font-style-tt">UD</span>», «<span class="tex-font-style-tt">RL</span>», «<span class="tex-font-style-tt">UUURULLDDDDLDDRRUU</span>», а следующие являются некорректными: «<span class="tex-font-style-tt">U</span>» (конечная клетка не равна $$$(0, 0)$$$) и «<span class="tex-font-style-tt">UUDD</span>» (клетка $$$(0, 1)$$$ посещается дважды).</p><p>Но изначальная последовательность инструкций может быть некорректной. Вы не хотите, чтобы ваш робот сломался, поэтому вы решили перепрограммировать его следующим образом: вы удалите какие-то (возможно, все или никакие) инструкции из изначальной последовательности инструкций, затем поменяете порядок оставшихся инструкций так, как хотите, и включите вашего робота, который начнет движение.</p><p>Ваша задача — удалить минимальное количество инструкций из изначальной последовательности и поменять порядок оставшихся инструкций таким образом, чтобы последовательность стала корректной. Вам необходимо вывести максимальную по длине корректную последовательность инструкций, которую вы можете получить.</p><p>Заметьте, что вам необходимо выбрать <span class="tex-font-style-bf">любой</span> порядок оставшихся инструкций (нет необходимости минимизировать количество обменов или какую-либо другую похожую метрику).</p><p>Вам необходимо ответить на $$$q$$$ независимых наборов входных данных.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$q$$$ ($$$1 \le q \le 2 \cdot 10^4$$$) — количество наборов входных данных.</p><p>Следующие $$$q$$$ строк содержат наборы входных данных. $$$i$$$-й набор входных данных задан строкой $$$s$$$, состоящей из не менее, чем $$$1$$$ и не более, чем $$$10^5$$$ символов '<span class="tex-font-style-tt">L</span>', '<span class="tex-font-style-tt">R</span>', '<span class="tex-font-style-tt">U</span>' и '<span class="tex-font-style-tt">D</span>' — изначальной последовательности инструкций.</p><p>Гарантируется, что сумма $$$|s|$$$ (где $$$|s|$$$ — длина $$$s$$$) не превосходит $$$10^5$$$ по всем наборам входных данных ($$$\sum |s| \le 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ на каждый набор входных данных. В первой строке выведите максимальное количество оставшихся инструкций. Во второй строке выведите корректную последовательность оставшихся инструкций $$$t$$$, которую робот сможет выполнить. Ходы выполняются слева направо в порядке выведенной последовательности. Если существует несколько возможных ответов, выведите любой. Если ответ равен $$$0$$$, вам разрешается вывести пустую строку (но вы можете не выводить ее).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 LRU DURLDRUDRULRDURDDL LRUDDLRUDRUL LLLLRRRR URDUR LLL </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 LR 14 RUURDDDDLLLUUR 12 ULDDDRRRUULL 2 LR 2 UD 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных существует только два правильных ответа: «<span class="tex-font-style-tt">LR</span>» и «<span class="tex-font-style-tt">RL</span>».</p><p>Картинка, соответствующая второму набору входных данных:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/b8d040c328a3c50a5e36b8d6da86a6e5f2b67b52.png" style="max-width: 100.0%;max-height: 100.0%;"/> Заметьте, что направление обхода неважно </center><p>Другим корректным ответом на третий набор входных данных является «<span class="tex-font-style-tt">URDDLLLUURDR</span>».</p></div></div>

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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *1200 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='24fdc5f7d0bb05440d13e01b4a119298'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="494354"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='24fdc5f7d0bb05440d13e01b4a119298'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="494354"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72086" title="Codeforces Round #605 (Div. 3)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11336:11337" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72132" title="Разбор Codeforces Round #605 (Div. 3)" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11334:11335" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1272">Задачи</a></li> <li><a href="/contest/1272/submit">Отослать</a></li> <li><a href="/contest/1272/my">Мои посылки</a></li> <li><a href="/contest/1272/status">Статус</a></li> <li><a href="/contest/1272/hacks">Взломы</a></li> <li><a href="/contest/1272/standings">Положение</a></li> <li><a href="/contest/1272/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_5c80f17e0d706902c4de66acb6f197795c6cc0c7"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Робот-cнегоход</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Недавно вы купили робота-снегохода и принесли его домой. Ваш дом — это клетка $$$(0, 0)$$$ на бесконечной координатной сетке.</p><p>Вы также получили последовательность инструкций этого робота. Она записана в виде строки $$$s$$$, состоящей из символов '<span class="tex-font-style-tt">L</span>', '<span class="tex-font-style-tt">R</span>', '<span class="tex-font-style-tt">U</span>' и '<span class="tex-font-style-tt">D</span>'. Если сейчас робот находится в клетке $$$(x, y)$$$, он может передвинуться в одну из смежных клеток (зависит от текущей инструкции).</p><ul> <li> Если текущая инструкция — '<span class="tex-font-style-tt">L</span>', тогда робот может передвинуться влево в $$$(x - 1, y)$$$; </li><li> если текущая инструкция — '<span class="tex-font-style-tt">R</span>', тогда робот может передвинуться вправо в $$$(x + 1, y)$$$; </li><li> если текущая инструкция — '<span class="tex-font-style-tt">U</span>', тогда робот может передвинуться вверх в $$$(x, y + 1)$$$; </li><li> если текущая инструкция — '<span class="tex-font-style-tt">D</span>', тогда робот может передвинуться вниз в $$$(x, y - 1)$$$. </li></ul><p>Вы заметили предупреждение на последней странице руководства: если робот посетит какую-то клетку (<span class="tex-font-style-bf">кроме</span> $$$(0, 0)$$$) дважды, то он сломается.</p><p>Таким образом, последовательность инструкций является корректной, если робот начинает в клетке $$$(0, 0)$$$, выполняет заданные инструкции, не посещает никакую клетку, кроме $$$(0, 0)$$$, два или более раз и заканчивает свой путь в клетке $$$(0, 0)$$$. Также клетка $$$(0, 0)$$$ должна быть посещена <span class="tex-font-style-bf">не более</span> двух раз: в начале и в конце (если путь пустой, то она будет посещена только единожды). Например, следующие последовательности инструкций являются корректными: «<span class="tex-font-style-tt">UD</span>», «<span class="tex-font-style-tt">RL</span>», «<span class="tex-font-style-tt">UUURULLDDDDLDDRRUU</span>», а следующие являются некорректными: «<span class="tex-font-style-tt">U</span>» (конечная клетка не равна $$$(0, 0)$$$) и «<span class="tex-font-style-tt">UUDD</span>» (клетка $$$(0, 1)$$$ посещается дважды).</p><p>Но изначальная последовательность инструкций может быть некорректной. Вы не хотите, чтобы ваш робот сломался, поэтому вы решили перепрограммировать его следующим образом: вы удалите какие-то (возможно, все или никакие) инструкции из изначальной последовательности инструкций, затем поменяете порядок оставшихся инструкций так, как хотите, и включите вашего робота, который начнет движение.</p><p>Ваша задача — удалить минимальное количество инструкций из изначальной последовательности и поменять порядок оставшихся инструкций таким образом, чтобы последовательность стала корректной. Вам необходимо вывести максимальную по длине корректную последовательность инструкций, которую вы можете получить.</p><p>Заметьте, что вам необходимо выбрать <span class="tex-font-style-bf">любой</span> порядок оставшихся инструкций (нет необходимости минимизировать количество обменов или какую-либо другую похожую метрику).</p><p>Вам необходимо ответить на $$$q$$$ независимых наборов входных данных.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$q$$$ ($$$1 \le q \le 2 \cdot 10^4$$$) — количество наборов входных данных.</p><p>Следующие $$$q$$$ строк содержат наборы входных данных. $$$i$$$-й набор входных данных задан строкой $$$s$$$, состоящей из не менее, чем $$$1$$$ и не более, чем $$$10^5$$$ символов '<span class="tex-font-style-tt">L</span>', '<span class="tex-font-style-tt">R</span>', '<span class="tex-font-style-tt">U</span>' и '<span class="tex-font-style-tt">D</span>' — изначальной последовательности инструкций.</p><p>Гарантируется, что сумма $$$|s|$$$ (где $$$|s|$$$ — длина $$$s$$$) не превосходит $$$10^5$$$ по всем наборам входных данных ($$$\sum |s| \le 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответ на каждый набор входных данных. В первой строке выведите максимальное количество оставшихся инструкций. Во второй строке выведите корректную последовательность оставшихся инструкций $$$t$$$, которую робот сможет выполнить. Ходы выполняются слева направо в порядке выведенной последовательности. Если существует несколько возможных ответов, выведите любой. Если ответ равен $$$0$$$, вам разрешается вывести пустую строку (но вы можете не выводить ее).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 LRU DURLDRUDRULRDURDDL LRUDDLRUDRUL LLLLRRRR URDUR LLL </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 LR 14 RUURDDDDLLLUUR 12 ULDDDRRRUULL 2 LR 2 UD 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных существует только два правильных ответа: «<span class="tex-font-style-tt">LR</span>» и «<span class="tex-font-style-tt">RL</span>».</p><p>Картинка, соответствующая второму набору входных данных:</p><center> <img class="tex-graphics" src="https://espresso.codeforces.com/b8d040c328a3c50a5e36b8d6da86a6e5f2b67b52.png" style="max-width: 100.0%;max-height: 100.0%;" /> Заметьте, что направление обхода неважно </center><p>Другим корректным ответом на третий набор входных данных является «<span class="tex-font-style-tt">URDDLLLUURDR</span>».</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "*1200"]

1272C

1272

C

ru

C. Очередная сломанная клавиатура

<div class="problem-statement"><div class="header"><div class="title">C. Очередная сломанная клавиатура</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Недавно Norge нашел строку $$$s = s_1 s_2 \ldots s_n$$$, состоящую из $$$n$$$ строчных букв латинского алфавита. В качестве упражнения для улучшения скорости печатания он решил напечатать все подстроки $$$s$$$. Да, все $$$\frac{n (n + 1)}{2}$$$ из них!</p><p>Подстрокой строки $$$s$$$ называется непустая строка $$$x = s[a \ldots b] = s_{a} s_{a + 1} \ldots s_{b}$$$ ($$$1 \leq a \leq b \leq n$$$). Например, «<span class="tex-font-style-tt">auto</span>» и «<span class="tex-font-style-tt">ton</span>» являются подстроками «<span class="tex-font-style-tt">automaton</span>».</p><p>Незадолго до начала упражнения Norge осознал, что его клавиатура сломана, а если говорить более точно, он может использовать только $$$k$$$ латинских букв $$$c_1, c_2, \ldots, c_k$$$ из $$$26$$$.</p><p>После этого Norge стало интересно, как много подстрок строки $$$s$$$ он сможет написать, используя свою сломанную клавиатуру. Помогите ему найти это число.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит два целых числа $$$n$$$ и $$$k$$$ ($$$1 \leq n \leq 2 \cdot 10^5$$$, $$$1 \leq k \leq 26$$$) — длину строки $$$s$$$ и количество латинских букв, доступных на клавиатуре.</p><p>Вторая строка входных данных содержит строку $$$s$$$, состоящую ровно из $$$n$$$ строчных букв латинского алфавита.</p><p>Третья строка содержит $$$k$$$ различных строчных букв латинского алфавита $$$c_1, c_2, \ldots, c_k$$$ — буквы, доступные на клавиатуре.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество подстрок $$$s$$$, которые можно написать, используя только доступные буквы $$$c_1, c_2, \ldots, c_k$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 7 2 abacaba a b </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 12 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 3 sadfaasdda f a d </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 21 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 aaaaaaa b </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере Norge может напечатать подстроки $$$s[1\ldots2]$$$, $$$s[2\ldots3]$$$, $$$s[1\ldots3]$$$, $$$s[1\ldots1]$$$, $$$s[2\ldots2]$$$, $$$s[3\ldots3]$$$, $$$s[5\ldots6]$$$, $$$s[6\ldots7]$$$, $$$s[5\ldots7]$$$, $$$s[5\ldots5]$$$, $$$s[6\ldots6]$$$, $$$s[7\ldots7]$$$.</p></div></div>

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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *1200 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='b69bc487cb572d3972664d37c334a265'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="494355"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='b69bc487cb572d3972664d37c334a265'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="494355"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72086" title="Codeforces Round #605 (Div. 3)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11336:11337" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72132" title="Разбор Codeforces Round #605 (Div. 3)" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11334:11335" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1272">Задачи</a></li> <li><a href="/contest/1272/submit">Отослать</a></li> <li><a href="/contest/1272/my">Мои посылки</a></li> <li><a href="/contest/1272/status">Статус</a></li> <li><a href="/contest/1272/hacks">Взломы</a></li> <li><a href="/contest/1272/standings">Положение</a></li> <li><a href="/contest/1272/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_f5ea344c48eef5d6f283ceddc09f5ca5ba2a5f84"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Очередная сломанная клавиатура</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Недавно Norge нашел строку $$$s = s_1 s_2 \ldots s_n$$$, состоящую из $$$n$$$ строчных букв латинского алфавита. В качестве упражнения для улучшения скорости печатания он решил напечатать все подстроки $$$s$$$. Да, все $$$\frac{n (n + 1)}{2}$$$ из них!</p><p>Подстрокой строки $$$s$$$ называется непустая строка $$$x = s[a \ldots b] = s_{a} s_{a + 1} \ldots s_{b}$$$ ($$$1 \leq a \leq b \leq n$$$). Например, «<span class="tex-font-style-tt">auto</span>» и «<span class="tex-font-style-tt">ton</span>» являются подстроками «<span class="tex-font-style-tt">automaton</span>».</p><p>Незадолго до начала упражнения Norge осознал, что его клавиатура сломана, а если говорить более точно, он может использовать только $$$k$$$ латинских букв $$$c_1, c_2, \ldots, c_k$$$ из $$$26$$$.</p><p>После этого Norge стало интересно, как много подстрок строки $$$s$$$ он сможет написать, используя свою сломанную клавиатуру. Помогите ему найти это число.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит два целых числа $$$n$$$ и $$$k$$$ ($$$1 \leq n \leq 2 \cdot 10^5$$$, $$$1 \leq k \leq 26$$$) — длину строки $$$s$$$ и количество латинских букв, доступных на клавиатуре.</p><p>Вторая строка входных данных содержит строку $$$s$$$, состоящую ровно из $$$n$$$ строчных букв латинского алфавита.</p><p>Третья строка содержит $$$k$$$ различных строчных букв латинского алфавита $$$c_1, c_2, \ldots, c_k$$$ — буквы, доступные на клавиатуре.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество подстрок $$$s$$$, которые можно написать, используя только доступные буквы $$$c_1, c_2, \ldots, c_k$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 7 2 abacaba a b </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 12 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 3 sadfaasdda f a d </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 21 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 1 aaaaaaa b </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере Norge может напечатать подстроки $$$s[1\ldots2]$$$, $$$s[2\ldots3]$$$, $$$s[1\ldots3]$$$, $$$s[1\ldots1]$$$, $$$s[2\ldots2]$$$, $$$s[3\ldots3]$$$, $$$s[5\ldots6]$$$, $$$s[6\ldots7]$$$, $$$s[5\ldots7]$$$, $$$s[5\ldots5]$$$, $$$s[6\ldots6]$$$, $$$s[7\ldots7]$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); 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["\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u041a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u043f", "\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "*1200"]

1272D

1272

D

ru

D. Удалите один элемент

<div class="problem-statement"><div class="header"><div class="title">D. Удалите один элемент</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задан массив $$$a$$$, состоящий из $$$n$$$ целых чисел.</p><p>Вы можете удалить <span class="tex-font-style-bf">не более одного</span> элемента из этого массива. Таким образом, после этой операции длина массива равна либо $$$n-1$$$, либо $$$n$$$.</p><p>Ваша задача — посчитать максимально возможную длину <span class="tex-font-style-bf">строго возрастающего</span> последовательного подмассива получившегося массива.</p><p>Напомним, что последовательным подмассивом $$$a$$$ с индексами от $$$l$$$ до $$$r$$$ называется $$$a[l \dots r] = a_l, a_{l + 1}, \dots, a_r$$$. Массив $$$a[l \dots r]$$$ называется строго возрастающим, если $$$a_l < a_{l+1} < \dots < a_r$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$n$$$ ($$$2 \le n \le 2 \cdot 10^5$$$) — количество элементов в $$$a$$$.</p><p>Вторая строка входных данных содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$), где $$$a_i$$$ равно $$$i$$$-му элементу $$$a$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — максимально возможную длину <span class="tex-font-style-bf">строго возрастающего</span> последовательного подмассива массива $$$a$$$ после удаления не более одного элемента.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 5 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 6 5 4 3 2 4 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере можно удалить $$$a_3=5$$$. Тогда получившийся массив будет равен $$$[1, 2, 3, 4]$$$ и длина его наибольшего возрастающего подмассива будет равна $$$4$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72086" title="Codeforces Round #605 (Div. 3)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11336:11337" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72132" title="Разбор Codeforces Round #605 (Div. 3)" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11334:11335" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1272">Задачи</a></li> <li><a href="/contest/1272/submit">Отослать</a></li> <li><a href="/contest/1272/my">Мои посылки</a></li> <li><a href="/contest/1272/status">Статус</a></li> <li><a href="/contest/1272/hacks">Взломы</a></li> <li><a href="/contest/1272/standings">Положение</a></li> <li><a href="/contest/1272/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_0f49e88951198473c5691721d7b0d5d82769168e"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Удалите один элемент</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задан массив $$$a$$$, состоящий из $$$n$$$ целых чисел.</p><p>Вы можете удалить <span class="tex-font-style-bf">не более одного</span> элемента из этого массива. Таким образом, после этой операции длина массива равна либо $$$n-1$$$, либо $$$n$$$.</p><p>Ваша задача — посчитать максимально возможную длину <span class="tex-font-style-bf">строго возрастающего</span> последовательного подмассива получившегося массива.</p><p>Напомним, что последовательным подмассивом $$$a$$$ с индексами от $$$l$$$ до $$$r$$$ называется $$$a[l \dots r] = a_l, a_{l + 1}, \dots, a_r$$$. Массив $$$a[l \dots r]$$$ называется строго возрастающим, если $$$a_l < a_{l+1} < \dots < a_r$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$n$$$ ($$$2 \le n \le 2 \cdot 10^5$$$) — количество элементов в $$$a$$$.</p><p>Вторая строка входных данных содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$), где $$$a_i$$$ равно $$$i$$$-му элементу $$$a$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — максимально возможную длину <span class="tex-font-style-bf">строго возрастающего</span> последовательного подмассива массива $$$a$$$ после удаления не более одного элемента.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 5 3 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 2 1 2 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 6 5 4 3 2 4 3 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере можно удалить $$$a_3=5$$$. Тогда получившийся массив будет равен $$$[1, 2, 3, 4]$$$ и длина его наибольшего возрастающего подмассива будет равна $$$4$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); 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1272E

1272

E

ru

E. Ближайшая противоположная четность

<div class="problem-statement"><div class="header"><div class="title">E. Ближайшая противоположная четность</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задан массив $$$a$$$, состоящий из $$$n$$$ целых чисел. За один ход вы можете прыгнуть с позиции $$$i$$$ в позицию $$$i - a_i$$$ (если $$$1 \le i - a_i$$$) или в позицию $$$i + a_i$$$ (если $$$i + a_i \le n$$$).</p><p>Для каждой позиции $$$i$$$ от $$$1$$$ до $$$n$$$ вы хотите узнать минимальное количество ходов, необходимое, чтобы достичь любой позиции $$$j$$$ такой, что $$$a_j$$$ имеет четность, отличающуюся от четности $$$a_i$$$ (то есть если $$$a_i$$$ нечетно, то $$$a_j$$$ должно быть четным и наоборот).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — количество элементов в $$$a$$$.</p><p>Вторая строка входных данных содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le n$$$), где $$$a_i$$$ равно $$$i$$$-му элементу $$$a$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел $$$d_1, d_2, \dots, d_n$$$, где $$$d_i$$$ равно минимальному количеству ходов, необходимому, чтобы достичь любой позиции $$$j$$$ такой, что $$$a_j$$$ имеет четность, отличающуюся от четности $$$a_i$$$ (то есть если $$$a_i$$$ нечетно, то $$$a_j$$$ должно быть четным и наоборот) или же <span class="tex-font-style-tt">-1</span>, если такой позиции достичь невозможно.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 10 4 5 7 6 7 5 4 4 6 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 1 2 -1 1 1 3 1 1 </pre></div></div></div></div>

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padding:0 3px 2px 3px; background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *1900 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='6333ba152e31878e297c3ba6ccb05e87'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="494357"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='6333ba152e31878e297c3ba6ccb05e87'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="494357"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); Codeforces.confirm("Вы уверены, что хотите удалить этот тег?", function () { $("#removeTagForm input[name=tagName]").val(tagName); $("#removeTagForm").submit(); }, function () { }, "Да", "Нет"); }); $("#addTagLink").click(function () { $(this).hide(); $("#addTagLabel").show(); return false; }); $("#addTagSelect").change(function () { var tagName = $(this).val(); if (tagName === "") { $("#addTagLabel").hide(); $("#addTagLink").show(); } else { $("#addTagForm input[name=tagName]").val(tagName); $("#addTagForm").submit(); } }); </script> <style type="text/css"> #new-resource-form tr td { padding-top: 0.5em; } #new-resource-form input:not([type="submit"]) { font-size: 0.8em; } #new-resource-form select { font-size: 0.8em; } .new-resource-error { font-size: 0.8em; } .resource-locale { color: #666; font-family: Consolas, "Andale Mono WT", "Andale Mono", "Lucida Console", "Lucida Sans Typewriter", "DejaVu Sans Mono", "Bitstream Vera Sans Mono", "Liberation Mono", "Nimbus Mono L", Monaco, "Courier New", Courier, monospace; } </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72086" title="Codeforces Round #605 (Div. 3)" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11336:11337" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72132" title="Разбор Codeforces Round #605 (Div. 3)" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="11334:11335" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1272">Задачи</a></li> <li><a href="/contest/1272/submit">Отослать</a></li> <li><a href="/contest/1272/my">Мои посылки</a></li> <li><a href="/contest/1272/status">Статус</a></li> <li><a href="/contest/1272/hacks">Взломы</a></li> <li><a href="/contest/1272/standings">Положение</a></li> <li><a href="/contest/1272/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_160633ac81633ba6e58d1538811b6ef4c93e68ef"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Ближайшая противоположная четность</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задан массив $$$a$$$, состоящий из $$$n$$$ целых чисел. За один ход вы можете прыгнуть с позиции $$$i$$$ в позицию $$$i - a_i$$$ (если $$$1 \le i - a_i$$$) или в позицию $$$i + a_i$$$ (если $$$i + a_i \le n$$$).</p><p>Для каждой позиции $$$i$$$ от $$$1$$$ до $$$n$$$ вы хотите узнать минимальное количество ходов, необходимое, чтобы достичь любой позиции $$$j$$$ такой, что $$$a_j$$$ имеет четность, отличающуюся от четности $$$a_i$$$ (то есть если $$$a_i$$$ нечетно, то $$$a_j$$$ должно быть четным и наоборот).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одно целое число $$$n$$$ ($$$1 \le n \le 2 \cdot 10^5$$$) — количество элементов в $$$a$$$.</p><p>Вторая строка входных данных содержит $$$n$$$ целых чисел $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le n$$$), где $$$a_i$$$ равно $$$i$$$-му элементу $$$a$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$n$$$ целых чисел $$$d_1, d_2, \dots, d_n$$$, где $$$d_i$$$ равно минимальному количеству ходов, необходимому, чтобы достичь любой позиции $$$j$$$ такой, что $$$a_j$$$ имеет четность, отличающуюся от четности $$$a_i$$$ (то есть если $$$a_i$$$ нечетно, то $$$a_j$$$ должно быть четным и наоборот) или же <span class="tex-font-style-tt">-1</span>, если такой позиции достичь невозможно.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 10 4 5 7 6 7 5 4 4 6 4 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 1 2 -1 1 1 3 1 1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); 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["\u0413\u0440\u0430\u0444\u044b", "\u041a\u0440\u0430\u0442\u0447\u0430\u0439\u0448\u0438\u0435 \u043f\u0443\u0442\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0430\u0445", "\u041f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0433\u0440\u0430\u0444\u044b", "\u043a\u0440\u0430\u0442\u0447\u0430\u0439\u0448\u0438\u0435 \u043f\u0443\u0442\u0438", "\u043f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u043e\u0435", "*1900"]

1272F

1272

F

ru

F. Две скобочные последовательности

<div class="problem-statement"><div class="header"><div class="title">F. Две скобочные последовательности</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задано две скобочные последовательности (не обязательно правильные) $$$s$$$ и $$$t$$$, состоящие только из символов '<span class="tex-font-style-tt">(</span>' и '<span class="tex-font-style-tt">)</span>'. Вы хотите построить кратчайшую <span class="tex-font-style-bf">правильную</span> скобочную последовательность, которая содержит обе заданные скобочные последовательности в качестве <span class="tex-font-style-bf">подпоследовательностей</span> (не обязательно подряд идущих).</p><p>Напомним, что такое правильная скобочная последовательность:</p><ul> <li> <span class="tex-font-style-tt">()</span> является правильной скобочной последовательностью; </li><li> если $$$S$$$ является правильной скобочной последовательностью, то <span class="tex-font-style-tt">($$$S$$$)</span> является правильной скобочной последовательностью; </li><li> если $$$S$$$ и $$$T$$$ являются правильными скобочными последовательностями, то $$$ST$$$ (конкатенация $$$S$$$ и $$$T$$$) тоже является правильной скобочной последовательностью. </li></ul><p>Напомним, что подпоследовательностью строки $$$s$$$ называется такая строка $$$t$$$, которая получается из $$$s$$$ при помощи удаления некоторого (возможно, нулевого) количества символов. Например, «<span class="tex-font-style-tt">coder</span>», «<span class="tex-font-style-tt">force</span>», «<span class="tex-font-style-tt">cf</span>» и «<span class="tex-font-style-tt">cores</span>» являются подпоследовательностями «<span class="tex-font-style-tt">codeforces</span>», а «<span class="tex-font-style-tt">fed</span>» и «<span class="tex-font-style-tt">z</span>» — нет.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одну скобочную последовательность $$$s$$$, состоящую из не более $$$200$$$ символов '<span class="tex-font-style-tt">(</span>' и '<span class="tex-font-style-tt">)</span>'.</p><p>Вторая строка входных данных содержит одну скобочную последовательность $$$t$$$, состоящую из не более $$$200$$$ символов '<span class="tex-font-style-tt">(</span>' и '<span class="tex-font-style-tt">)</span>'.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одну строку — кратчайшую <span class="tex-font-style-bf">правильную</span> скобочную последовательность, которая содержит обе заданные скобочные последовательности как <span class="tex-font-style-bf">подпоследовательности</span> (не обязательно подряд идущие). Если существует несколько возможных ответов, выведите любой.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> (())(() ()))() </pre></div><div class="output"><div class="title">Выходные данные</div><pre> (())()() </pre></div><div class="input"><div class="title">Входные данные</div><pre> ) (( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> (()) </pre></div><div class="input"><div class="title">Входные данные</div><pre> ) ))) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> ((())) </pre></div><div class="input"><div class="title">Входные данные</div><pre> ()) (()(()(()( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> (()()()(()())) </pre></div></div></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_b9fb3d4754ae73d3b9d86a9667eab1bd53d79057"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Две скобочные последовательности</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Вам задано две скобочные последовательности (не обязательно правильные) $$$s$$$ и $$$t$$$, состоящие только из символов '<span class="tex-font-style-tt">(</span>' и '<span class="tex-font-style-tt">)</span>'. Вы хотите построить кратчайшую <span class="tex-font-style-bf">правильную</span> скобочную последовательность, которая содержит обе заданные скобочные последовательности в качестве <span class="tex-font-style-bf">подпоследовательностей</span> (не обязательно подряд идущих).</p><p>Напомним, что такое правильная скобочная последовательность:</p><ul> <li> <span class="tex-font-style-tt">()</span> является правильной скобочной последовательностью; </li><li> если $$$S$$$ является правильной скобочной последовательностью, то <span class="tex-font-style-tt">($$$S$$$)</span> является правильной скобочной последовательностью; </li><li> если $$$S$$$ и $$$T$$$ являются правильными скобочными последовательностями, то $$$ST$$$ (конкатенация $$$S$$$ и $$$T$$$) тоже является правильной скобочной последовательностью. </li></ul><p>Напомним, что подпоследовательностью строки $$$s$$$ называется такая строка $$$t$$$, которая получается из $$$s$$$ при помощи удаления некоторого (возможно, нулевого) количества символов. Например, «<span class="tex-font-style-tt">coder</span>», «<span class="tex-font-style-tt">force</span>», «<span class="tex-font-style-tt">cf</span>» и «<span class="tex-font-style-tt">cores</span>» являются подпоследовательностями «<span class="tex-font-style-tt">codeforces</span>», а «<span class="tex-font-style-tt">fed</span>» и «<span class="tex-font-style-tt">z</span>» — нет.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка входных данных содержит одну скобочную последовательность $$$s$$$, состоящую из не более $$$200$$$ символов '<span class="tex-font-style-tt">(</span>' и '<span class="tex-font-style-tt">)</span>'.</p><p>Вторая строка входных данных содержит одну скобочную последовательность $$$t$$$, состоящую из не более $$$200$$$ символов '<span class="tex-font-style-tt">(</span>' и '<span class="tex-font-style-tt">)</span>'.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одну строку — кратчайшую <span class="tex-font-style-bf">правильную</span> скобочную последовательность, которая содержит обе заданные скобочные последовательности как <span class="tex-font-style-bf">подпоследовательности</span> (не обязательно подряд идущие). Если существует несколько возможных ответов, выведите любой.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> (())(() ()))() </pre></div><div class="output"><div class="title">Выходные данные</div><pre> (())()() </pre></div><div class="input"><div class="title">Входные данные</div><pre> ) (( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> (()) </pre></div><div class="input"><div class="title">Входные данные</div><pre> ) ))) </pre></div><div class="output"><div class="title">Выходные данные</div><pre> ((())) </pre></div><div class="input"><div class="title">Входные данные</div><pre> ()) (()(()(()( </pre></div><div class="output"><div class="title">Выходные данные</div><pre> (()()()(()())) </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); 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["\u0414\u0432\u0430 \u0443\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f", "\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u041f\u0440\u0435\u0444\u0438\u043a\u0441- \u0438 Z-\u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0441\u0443\u0444\u0444\u0438\u043a\u0441\u043d\u044b\u0435 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b, \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u041a\u043d\u0443\u0442\u0430-\u041c\u043e\u0440\u0440\u0438\u0441\u0430-\u041f\u0440\u0430\u0442\u0442\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u0432\u0430 \u0443\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f", "\u0434\u043f", "\u0441\u0442\u0440\u043e\u043a\u0438", "*2200"]

1276A

1276

A

ru

A. Просто как one и two

<div class="problem-statement"><div class="header"><div class="title">A. Просто как one и two</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Задана непустая строка $$$s=s_1s_2\dots s_n$$$, которая состоит исключительно из строчных букв латинского алфавита. Строка не нравится Поликарпу, если содержит в качестве <span class="tex-font-style-bf">подстроки</span> строки хотя бы одну строку «<span class="tex-font-style-tt">one</span>» или хотя бы одну строку «<span class="tex-font-style-tt">two</span>» (или их обе одновременно). Иными словами, строка $$$s$$$ не нравится Поликарпу, если существует такое целое $$$j$$$ ($$$1 \le j \le n-2$$$), что $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">one</span>» или $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">two</span>».</p><p>Например:</p><ul> <li> «<span class="tex-font-style-tt">oneee</span>», «<span class="tex-font-style-tt">ontwow</span>», «<span class="tex-font-style-tt">twone</span>» и «<span class="tex-font-style-tt">oneonetwo</span>» — не нравятся Поликарпу (в них есть хотя бы одна подстрока «<span class="tex-font-style-tt">one</span>» или «<span class="tex-font-style-tt">two</span>»); </li><li> «<span class="tex-font-style-tt">oonnee</span>», «<span class="tex-font-style-tt">twwwo</span>» и «<span class="tex-font-style-tt">twnoe</span>» — нравятся Поликарпу (в них нет подстрок «<span class="tex-font-style-tt">one</span>» и «<span class="tex-font-style-tt">two</span>»). </li></ul><p>Поликарп хочет выбрать некоторый набор индексов (позиций) и удалить все буквы на этих позициях. Процесс удаления букв происходит одновременно.</p><p>Например, если строка имела вид $$$s=$$$«<span class="tex-font-style-tt">onetwone</span>», то если Поликарп выберет два индекса $$$3$$$ и $$$6$$$, то будут выбраны «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>» и в результате получится «<span class="tex-font-style-tt">ontwne</span>».</p><p>Какое минимальное количество индексов (позиций) надо выбрать Поликарпу, чтобы строка перестала ему не нравиться? Какие это должны быть позиции?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее заданы сами наборы входных данных.</p><p>Каждый набор входных данных состоит из одной непустой строки, содержащей $$$s$$$. Ее длина не превосходит $$$1.5\cdot10^5$$$. Строка $$$s$$$ состоит исключительно из строчных букв латинского алфавита.</p><p>Гарантируется, что сумма длин всех строк по всем наборам входных данных в тесте не превосходит $$$1.5\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого набора входных данных выведите ответ.</p><p>Первая строка ответа должна содержать $$$r$$$ ($$$0 \le r \le |s|$$$) — искомое минимальное количество позиций, где $$$|s|$$$ — длина заданной строки. Вторая строка ответа должна содержать $$$r$$$ различных целых чисел от — сами индексы для удаления в произвольном порядке. Индексы нумеруются слева направо в от $$$1$$$ до длины строки. Если $$$r=0$$$, то вторую строку можно не выводить (а можно вывести пустой). Если ответов несколько, то выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 onetwone testme oneoneone twotwo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 6 3 0 3 4 1 7 2 1 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 onetwonetwooneooonetwooo two one twooooo ttttwo ttwwoo ooone onnne oneeeee oneeeeeeetwooooo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 18 11 12 1 6 21 1 1 1 3 1 2 1 6 0 1 4 0 1 1 2 1 11 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере ответы равны:</p><ul> <li> «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt">testme</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>». </li></ul><p>Во втором примере ответы равны: </p><ul> <li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>»; </li><li> «<span class="tex-font-style-tt">tttt<span class="tex-font-style-underline"><span class="tex-font-style-bf">w</span></span>o</span>»; </li><li> «<span class="tex-font-style-tt">ttwwoo</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt">ooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e</span>»; </li><li> «<span class="tex-font-style-tt">onnne</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeee</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeeeee<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>». </li></ul></div></div>

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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_541e10471ecace739706f4bf4ecb65c6e8c0c2d1"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Просто как one и two</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Задана непустая строка $$$s=s_1s_2\dots s_n$$$, которая состоит исключительно из строчных букв латинского алфавита. Строка не нравится Поликарпу, если содержит в качестве <span class="tex-font-style-bf">подстроки</span> строки хотя бы одну строку «<span class="tex-font-style-tt">one</span>» или хотя бы одну строку «<span class="tex-font-style-tt">two</span>» (или их обе одновременно). Иными словами, строка $$$s$$$ не нравится Поликарпу, если существует такое целое $$$j$$$ ($$$1 \le j \le n-2$$$), что $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">one</span>» или $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">two</span>».</p><p>Например:</p><ul> <li> «<span class="tex-font-style-tt">oneee</span>», «<span class="tex-font-style-tt">ontwow</span>», «<span class="tex-font-style-tt">twone</span>» и «<span class="tex-font-style-tt">oneonetwo</span>» — не нравятся Поликарпу (в них есть хотя бы одна подстрока «<span class="tex-font-style-tt">one</span>» или «<span class="tex-font-style-tt">two</span>»); </li><li> «<span class="tex-font-style-tt">oonnee</span>», «<span class="tex-font-style-tt">twwwo</span>» и «<span class="tex-font-style-tt">twnoe</span>» — нравятся Поликарпу (в них нет подстрок «<span class="tex-font-style-tt">one</span>» и «<span class="tex-font-style-tt">two</span>»). </li></ul><p>Поликарп хочет выбрать некоторый набор индексов (позиций) и удалить все буквы на этих позициях. Процесс удаления букв происходит одновременно.</p><p>Например, если строка имела вид $$$s=$$$«<span class="tex-font-style-tt">onetwone</span>», то если Поликарп выберет два индекса $$$3$$$ и $$$6$$$, то будут выбраны «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>» и в результате получится «<span class="tex-font-style-tt">ontwne</span>».</p><p>Какое минимальное количество индексов (позиций) надо выбрать Поликарпу, чтобы строка перестала ему не нравиться? Какие это должны быть позиции?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее заданы сами наборы входных данных.</p><p>Каждый набор входных данных состоит из одной непустой строки, содержащей $$$s$$$. Ее длина не превосходит $$$1.5\cdot10^5$$$. Строка $$$s$$$ состоит исключительно из строчных букв латинского алфавита.</p><p>Гарантируется, что сумма длин всех строк по всем наборам входных данных в тесте не превосходит $$$1.5\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого набора входных данных выведите ответ.</p><p>Первая строка ответа должна содержать $$$r$$$ ($$$0 \le r \le |s|$$$) — искомое минимальное количество позиций, где $$$|s|$$$ — длина заданной строки. Вторая строка ответа должна содержать $$$r$$$ различных целых чисел от — сами индексы для удаления в произвольном порядке. Индексы нумеруются слева направо в от $$$1$$$ до длины строки. Если $$$r=0$$$, то вторую строку можно не выводить (а можно вывести пустой). Если ответов несколько, то выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 onetwone testme oneoneone twotwo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 6 3 0 3 4 1 7 2 1 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 onetwonetwooneooonetwooo two one twooooo ttttwo ttwwoo ooone onnne oneeeee oneeeeeeetwooooo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 18 11 12 1 6 21 1 1 1 3 1 2 1 6 0 1 4 0 1 1 2 1 11 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере ответы равны:</p><ul> <li> «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt">testme</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>». </li></ul><p>Во втором примере ответы равны: </p><ul> <li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>»; </li><li> «<span class="tex-font-style-tt">tttt<span class="tex-font-style-underline"><span class="tex-font-style-bf">w</span></span>o</span>»; </li><li> «<span class="tex-font-style-tt">ttwwoo</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt">ooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e</span>»; </li><li> «<span class="tex-font-style-tt">onnne</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeee</span>»; 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["\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u043f", "\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "*1400"]

1276B

1276

B

ru

B. Две ярмарки

<div class="problem-statement"><div class="header"><div class="title">B. Две ярмарки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>В Берляндии $$$n$$$ городов, некоторые пары из которых соединены двусторонними дорогами. Гарантируется, что из любого города можно доехать в любой другой, двигаясь по дорогам. Города пронумерованы от $$$1$$$ до $$$n$$$.</p><p>В настоящий момент в Берляндии проходят две ярмарки — они проходят в двух различных городах $$$a$$$ и $$$b$$$ ($$$1 \le a, b \le n$$$; $$$a \ne b$$$).</p><p>Найдите количество таких пар городов $$$x$$$ и $$$y$$$ ($$$x \ne a, x \ne b, y \ne a, y \ne b$$$), что двигаясь из $$$x$$$ в $$$y$$$ обязательно придётся проехать через обе ярмарки (порядок их посещения не важен). Формально, надо найти количество таких пар городов $$$x,y$$$, что любой путь из $$$x$$$ в $$$y$$$ проходит и через $$$a$$$ и через $$$b$$$ (в любом порядке).</p><p>Выведите искомое количество пар. Порядок двух городов в паре не имеет значение, то есть пары $$$(x,y)$$$ и $$$(y,x)$$$ надо учитывать один раз.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 4\cdot10^4$$$) — количество наборов входных данных в тесте. Далее записаны $$$t$$$ наборов входных данных.</p><p>В первой строке каждого набора содержится четыре целых числа $$$n$$$, $$$m$$$, $$$a$$$ и $$$b$$$ ($$$4 \le n \le 2\cdot10^5$$$, $$$n - 1 \le m \le 5\cdot10^5$$$, $$$1 \le a,b \le n$$$, $$$a \ne b$$$) — количество городов и дорог в Берляндии и номера двух городов, где проходят ярмарки, соответственно.</p><p>Следующие $$$m$$$ строк содержат описания дорог между городами. Каждая из них содержит пару целых чисел $$$u_i, v_i$$$ ($$$1 \le u_i, v_i \le n$$$, $$$u_i \ne v_i$$$) — номера соединенных дорогой городов.</p><p>Каждая дорога является двунаправленной, соединяет пару различных городов. Гарантируется, что из любого города можно проехать в любой другой по дорогам. Между парой городов может быть более одной дороги.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$. Сумма значений $$$m$$$ по всем наборам входных данных в тесте не превосходит $$$5\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел — ответы на заданные наборы входных данных в порядке их записи в тесте.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 7 7 3 5 1 2 2 3 3 4 4 5 5 6 6 7 7 5 4 5 2 3 1 2 2 3 3 4 4 1 4 2 4 3 2 1 1 2 2 3 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 0 1 </pre></div></div></div></div>

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Просто зарегистрируйтесь на дорешивание. </div> <div style="text-align:center;margin:1em;"> <form action="" method="post"><input type='hidden' name='csrf_token' value='7d1183966202eaf3539a2299f4a9a52d'/> <input type="hidden" name="action" value="registerForPractice"/> <input type="submit" name="submit" value="Зарегистрироваться" style="padding:0 0.5em;"> </form> </div> </div> </div> <div class="roundbox sidebox ContestVirtualFrame borderTopRound " style=""> <div class="caption titled">→ Виртуальное участие <i class="sidebar-caption-icon las la-angle-down"></i> <div class="top-links"> </div> </div> <div style=" " data-page-url="/data/sidebarFrames" > <div style="margin:1em;font-size:0.8em;"> Виртуальное соревнование – это способ прорешать прошедшее соревнование в режиме, максимально близком к участию во время его проведения. Поддерживается только ICPC режим для виртуальных соревнований. Если вы раньше видели эти задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72120" title="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" target="_blank">Анонс <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10054" resourceName="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10086:10087" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1276">Задачи</a></li> <li><a href="/contest/1276/submit">Отослать</a></li> <li><a href="/contest/1276/my">Мои посылки</a></li> <li><a href="/contest/1276/status">Статус</a></li> <li><a href="/contest/1276/hacks">Взломы</a></li> <li><a href="/contest/1276/room/1">Комната</a></li> <li><a href="/contest/1276/standings">Положение</a></li> <li><a href="/contest/1276/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_3c84153f3de5ff7f98232df4f4808e08f37e5744"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Две ярмарки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>В Берляндии $$$n$$$ городов, некоторые пары из которых соединены двусторонними дорогами. Гарантируется, что из любого города можно доехать в любой другой, двигаясь по дорогам. Города пронумерованы от $$$1$$$ до $$$n$$$.</p><p>В настоящий момент в Берляндии проходят две ярмарки — они проходят в двух различных городах $$$a$$$ и $$$b$$$ ($$$1 \le a, b \le n$$$; $$$a \ne b$$$).</p><p>Найдите количество таких пар городов $$$x$$$ и $$$y$$$ ($$$x \ne a, x \ne b, y \ne a, y \ne b$$$), что двигаясь из $$$x$$$ в $$$y$$$ обязательно придётся проехать через обе ярмарки (порядок их посещения не важен). Формально, надо найти количество таких пар городов $$$x,y$$$, что любой путь из $$$x$$$ в $$$y$$$ проходит и через $$$a$$$ и через $$$b$$$ (в любом порядке).</p><p>Выведите искомое количество пар. Порядок двух городов в паре не имеет значение, то есть пары $$$(x,y)$$$ и $$$(y,x)$$$ надо учитывать один раз.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 4\cdot10^4$$$) — количество наборов входных данных в тесте. Далее записаны $$$t$$$ наборов входных данных.</p><p>В первой строке каждого набора содержится четыре целых числа $$$n$$$, $$$m$$$, $$$a$$$ и $$$b$$$ ($$$4 \le n \le 2\cdot10^5$$$, $$$n - 1 \le m \le 5\cdot10^5$$$, $$$1 \le a,b \le n$$$, $$$a \ne b$$$) — количество городов и дорог в Берляндии и номера двух городов, где проходят ярмарки, соответственно.</p><p>Следующие $$$m$$$ строк содержат описания дорог между городами. Каждая из них содержит пару целых чисел $$$u_i, v_i$$$ ($$$1 \le u_i, v_i \le n$$$, $$$u_i \ne v_i$$$) — номера соединенных дорогой городов.</p><p>Каждая дорога является двунаправленной, соединяет пару различных городов. Гарантируется, что из любого города можно проехать в любой другой по дорогам. Между парой городов может быть более одной дороги.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$. Сумма значений $$$m$$$ по всем наборам входных данных в тесте не превосходит $$$5\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел — ответы на заданные наборы входных данных в порядке их записи в тесте.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 7 7 3 5 1 2 2 3 3 4 4 5 5 6 6 7 7 5 4 5 2 3 1 2 2 3 3 4 4 1 4 2 4 3 2 1 1 2 2 3 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 0 1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); 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["\u0413\u0440\u0430\u0444\u044b", "\u041a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u041f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u0438\u0441\u0442\u0435\u043c\u0430 \u043d\u0435\u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0445\u0441\u044f \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0433\u0440\u0430\u0444\u044b", "\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u043f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u043e\u0435", "\u0441\u043d\u043c", "*1900"]

1276C

1276

C

ru

C. Красивый прямоугольник

<div class="problem-statement"><div class="header"><div class="title">C. Красивый прямоугольник</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Заданы $$$n$$$ чисел. Требуется выбрать поднабор и сложить их в красивый прямоугольник (прямоугольную матрицу). Каждое выбранное число должен занять одну свою ячейку прямоугольника, каждая ячейка должна содержать ровно одно выбранное число. Некоторые из $$$n$$$ чисел могут остаться не выбранными.</p><p>Прямоугольник (прямоугольная матрица) называется красивым, если в каждой строке и в каждом столбце все значения различны.</p><p>Какой наибольший по площади (суммарному количеству ячеек) красивый прямоугольник можно сложить? Выведите и сам прямоугольник.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$). Во второй строке записаны $$$n$$$ целых чисел ($$$1 \le a_i \le 10^9$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первую строку выведите $$$x$$$ ($$$1 \le x \le n$$$) — площадь (суммарное количество ячеек) искомого максимального красивого прямоугольника. Во вторую строку выведите $$$p$$$ и $$$q$$$ ($$$p \cdot q=x$$$) — его размеры. В следующих $$$p$$$ строках выведите сам искомый прямоугольник. Если ответов несколько, выведите любой.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 12 3 1 4 1 5 9 2 6 5 3 5 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 12 3 4 1 2 3 5 3 1 5 4 5 6 8 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 1 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 1 1 </pre></div></div></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72120" title="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" target="_blank">Анонс <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10054" resourceName="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10086:10087" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1276">Задачи</a></li> <li><a href="/contest/1276/submit">Отослать</a></li> <li><a href="/contest/1276/my">Мои посылки</a></li> <li><a href="/contest/1276/status">Статус</a></li> <li><a href="/contest/1276/hacks">Взломы</a></li> <li><a href="/contest/1276/room/1">Комната</a></li> <li><a href="/contest/1276/standings">Положение</a></li> <li><a href="/contest/1276/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_175a8f23ad65e06d5b3d02ba029a6ac81564f3f3"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Красивый прямоугольник</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Заданы $$$n$$$ чисел. Требуется выбрать поднабор и сложить их в красивый прямоугольник (прямоугольную матрицу). Каждое выбранное число должен занять одну свою ячейку прямоугольника, каждая ячейка должна содержать ровно одно выбранное число. Некоторые из $$$n$$$ чисел могут остаться не выбранными.</p><p>Прямоугольник (прямоугольная матрица) называется красивым, если в каждой строке и в каждом столбце все значения различны.</p><p>Какой наибольший по площади (суммарному количеству ячеек) красивый прямоугольник можно сложить? Выведите и сам прямоугольник.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$). Во второй строке записаны $$$n$$$ целых чисел ($$$1 \le a_i \le 10^9$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первую строку выведите $$$x$$$ ($$$1 \le x \le n$$$) — площадь (суммарное количество ячеек) искомого максимального красивого прямоугольника. Во вторую строку выведите $$$p$$$ и $$$q$$$ ($$$p \cdot q=x$$$) — его размеры. В следующих $$$p$$$ строках выведите сам искомый прямоугольник. Если ответов несколько, выведите любой.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 12 3 1 4 1 5 9 2 6 5 3 5 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 12 3 4 1 2 3 5 3 1 5 4 5 6 8 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 1 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 1 1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u041f\u0435\u0440\u0435\u0431\u043e\u0440", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "*2300"]

1276D

1276

D

ru

D. Выбывание на дереве

<div class="problem-statement"><div class="header"><div class="title">D. Выбывание на дереве</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Васи есть дерево с $$$n$$$ вершинами, пронумерованными от $$$1$$$ до $$$n$$$, и $$$n - 1$$$ рёбрами, пронумерованными от $$$1$$$ до $$$n - 1$$$. Исходно в каждой вершине находится жетон, на котором написан номер вершины.</p><p>Вася играет в игру. Он рассматривает все рёбра в порядке возрастания номеров. Для каждого ребра он делает следующее:</p><ul><li> Если в каждом из концов ребра находится по жетону, удалить один из жетонов и записать его номер.</li><li> Иначе, ничего не делать.</li></ul><p>Результатом игры является последовательность чисел, которую выписал Вася. Последовательности могут получаться различными в зависимости от того, из каких концов рёбер Вася берёт жетоны.</p><p>Вася играл очень долго и считает, что выписал все возможные различные последовательности, которые могли получиться. Он просит вас проверить его и посчитать количество различных итоговых последовательностей по модулю $$$998\,244\,353$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$2 \leq n \leq 2 \cdot 10^5$$$) — количество вершин дерева.</p><p>Следующие $$$n - 1$$$ строк описывают рёбра дерева. В $$$i$$$-ё из этих строк записано два целых числа $$$u_i, v_i$$$ ($$$1 \leq u_i, v_i \leq n$$$) — концы рёбра с номером $$$i$$$. Гарантируется, что описанный граф является деревом.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество различных итоговых последовательеостей по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 1 3 1 4 1 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 7 2 7 6 1 2 7 5 4 7 3 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 10 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере различные последовательности таковы: $$$(1), (2, 1), (2, 3, 1), (2, 3, 4, 1), (2, 3, 4, 5)$$$.</p><p>Во втором примере различные последовательности таковы: $$$(2, 6, 5, 3), (2, 6, 5, 7), (2, 6, 7, 2), (2, 6, 7, 5), (2, 7, 3), (2, 7, 5), (7, 1, 3), (7, 1, 5), (7, 2, 3), (7, 2, 5)$$$.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72120" title="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" target="_blank">Анонс <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10054" resourceName="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10086:10087" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1276">Задачи</a></li> <li><a href="/contest/1276/submit">Отослать</a></li> <li><a href="/contest/1276/my">Мои посылки</a></li> <li><a href="/contest/1276/status">Статус</a></li> <li><a href="/contest/1276/hacks">Взломы</a></li> <li><a href="/contest/1276/room/1">Комната</a></li> <li><a href="/contest/1276/standings">Положение</a></li> <li><a href="/contest/1276/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_641e7020ab408403361332a765a6fff3266108f8"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Выбывание на дереве</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Васи есть дерево с $$$n$$$ вершинами, пронумерованными от $$$1$$$ до $$$n$$$, и $$$n - 1$$$ рёбрами, пронумерованными от $$$1$$$ до $$$n - 1$$$. Исходно в каждой вершине находится жетон, на котором написан номер вершины.</p><p>Вася играет в игру. Он рассматривает все рёбра в порядке возрастания номеров. Для каждого ребра он делает следующее:</p><ul><li> Если в каждом из концов ребра находится по жетону, удалить один из жетонов и записать его номер.</li><li> Иначе, ничего не делать.</li></ul><p>Результатом игры является последовательность чисел, которую выписал Вася. Последовательности могут получаться различными в зависимости от того, из каких концов рёбер Вася берёт жетоны.</p><p>Вася играл очень долго и считает, что выписал все возможные различные последовательности, которые могли получиться. Он просит вас проверить его и посчитать количество различных итоговых последовательностей по модулю $$$998\,244\,353$$$.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$n$$$ ($$$2 \leq n \leq 2 \cdot 10^5$$$) — количество вершин дерева.</p><p>Следующие $$$n - 1$$$ строк описывают рёбра дерева. В $$$i$$$-ё из этих строк записано два целых числа $$$u_i, v_i$$$ ($$$1 \leq u_i, v_i \leq n$$$) — концы рёбра с номером $$$i$$$. Гарантируется, что описанный граф является деревом.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно целое число — количество различных итоговых последовательеостей по модулю $$$998\,244\,353$$$.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 1 2 1 3 1 4 1 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 5 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 7 7 2 7 6 1 2 7 5 4 7 3 5 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 10 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере различные последовательности таковы: $$$(1), (2, 1), (2, 3, 1), (2, 3, 4, 1), (2, 3, 4, 5)$$$.</p><p>Во втором примере различные последовательности таковы: $$$(2, 6, 5, 3), (2, 6, 5, 7), (2, 6, 7, 2), (2, 6, 7, 5), (2, 7, 3), (2, 7, 5), (7, 1, 3), (7, 1, 5), (7, 2, 3), (7, 2, 5)$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); 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["\u0414\u0435\u0440\u0435\u0432\u044c\u044f", "\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u0435\u0440\u0435\u0432\u044c\u044f", "\u0434\u043f", "*2900"]

1276E

1276

E

ru

E. Четыре камня

<div class="problem-statement"><div class="header"><div class="title">E. Четыре камня</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>На бесконечной прямой расположено четыре камня в целочисленных координатах $$$a_1, a_2, a_3, a_4$$$. Цель — переместить камни в позиции с координатами $$$b_1, b_2, b_3, b_4$$$. Порядок камней не важен, то есть камень из любой позиции $$$a_i$$$ может оказаться в любой из позиций $$$b_j$$$, если в итоге каждая позиция содержит нужное количество камней (то есть, если координата $$$x$$$ встречается $$$k$$$ раз среди чисел $$$b_1, \ldots, b_4$$$, в конце в позиции $$$x$$$ должно быть ровно $$$k$$$ камней).</p><p>Мы можем перемещать камни при помощи следующей операции: выбрать две <span class="tex-font-style-bf">различные</span> позиции $$$x$$$ и $$$y$$$, в каждой из которых есть хотя бы один камень, и переместить один камень из $$$x$$$ в $$$2y - x$$$. Другими словами, операция перемещает один из камней в позицию, симметричную относительно другого камня. В любой момент разрешается помещать любое количество камней в одну и ту же позицию.</p><p>Найдите любую последовательность операций, приводящую к цели, или определите, что это невозможно. Ваша последовательность не обязана быть кратчайшей, но может содержать не более $$$1000$$$ операций.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано четыре целых числа $$$a_1, \ldots, a_4$$$ ($$$-10^9 \leq a_i \leq 10^9$$$) — исходные позиции камней. Любое количество камней могут находиться в одной точке.</p><p>Во второй строке записано четыре целых $$$b_1, \ldots, b_4$$$ ($$$-10^9 \leq b_i \leq 10^9$$$) — необходимые позиции камней. Любое количество из этих позиций могут находится в одной точке.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если не существует последовательности операций, приводящей к цели, выведите одно число $$$-1$$$. В противном случае, в первой строке выведите одно целое число $$$k$$$ ($$$0 \leq k \leq 1000$$$) — количество операций в вашей последовательности. В следующих $$$k$$$ строках опишите операции. $$$i$$$-я из этих строк должна содержать два целых числа $$$x_i$$$ и $$$y_i$$$ ($$$x_i \neq y_i$$$) — координата перемещаемого камня и координата центра симметрии для $$$i$$$-й операции соответственно.</p><p>Перед каждой операцией $$$i$$$ в координатах $$$x_i$$$ и $$$y_i$$$ должно быть хотя бы по одному камню, и новая координата камня $$$2y_i - x_i$$$ не должна превосходить $$$10^{18}$$$ по абсолютной величине.</p><p>Если существует несколько подходящих последовательностей, выведите любую. Гарантируется, что если подходящая последовательность операций существует, то существует и последовательность, удовлетворяющая всем дополнительным ограничениям.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 0 1 2 3 3 5 6 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 1 3 2 5 0 3 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 0 0 0 0 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 0 0 0 1 0 1 0 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div></div></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72120" title="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" target="_blank">Анонс <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10054" resourceName="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10086:10087" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1276">Задачи</a></li> <li><a href="/contest/1276/submit">Отослать</a></li> <li><a href="/contest/1276/my">Мои посылки</a></li> <li><a href="/contest/1276/status">Статус</a></li> <li><a href="/contest/1276/hacks">Взломы</a></li> <li><a href="/contest/1276/room/1">Комната</a></li> <li><a href="/contest/1276/standings">Положение</a></li> <li><a href="/contest/1276/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_07095f8e7c2b162d65d5d5de27cc2d84a54d6c31"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Четыре камня</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>На бесконечной прямой расположено четыре камня в целочисленных координатах $$$a_1, a_2, a_3, a_4$$$. Цель — переместить камни в позиции с координатами $$$b_1, b_2, b_3, b_4$$$. Порядок камней не важен, то есть камень из любой позиции $$$a_i$$$ может оказаться в любой из позиций $$$b_j$$$, если в итоге каждая позиция содержит нужное количество камней (то есть, если координата $$$x$$$ встречается $$$k$$$ раз среди чисел $$$b_1, \ldots, b_4$$$, в конце в позиции $$$x$$$ должно быть ровно $$$k$$$ камней).</p><p>Мы можем перемещать камни при помощи следующей операции: выбрать две <span class="tex-font-style-bf">различные</span> позиции $$$x$$$ и $$$y$$$, в каждой из которых есть хотя бы один камень, и переместить один камень из $$$x$$$ в $$$2y - x$$$. Другими словами, операция перемещает один из камней в позицию, симметричную относительно другого камня. В любой момент разрешается помещать любое количество камней в одну и ту же позицию.</p><p>Найдите любую последовательность операций, приводящую к цели, или определите, что это невозможно. Ваша последовательность не обязана быть кратчайшей, но может содержать не более $$$1000$$$ операций.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано четыре целых числа $$$a_1, \ldots, a_4$$$ ($$$-10^9 \leq a_i \leq 10^9$$$) — исходные позиции камней. Любое количество камней могут находиться в одной точке.</p><p>Во второй строке записано четыре целых $$$b_1, \ldots, b_4$$$ ($$$-10^9 \leq b_i \leq 10^9$$$) — необходимые позиции камней. Любое количество из этих позиций могут находится в одной точке.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Если не существует последовательности операций, приводящей к цели, выведите одно число $$$-1$$$. В противном случае, в первой строке выведите одно целое число $$$k$$$ ($$$0 \leq k \leq 1000$$$) — количество операций в вашей последовательности. В следующих $$$k$$$ строках опишите операции. $$$i$$$-я из этих строк должна содержать два целых числа $$$x_i$$$ и $$$y_i$$$ ($$$x_i \neq y_i$$$) — координата перемещаемого камня и координата центра симметрии для $$$i$$$-й операции соответственно.</p><p>Перед каждой операцией $$$i$$$ в координатах $$$x_i$$$ и $$$y_i$$$ должно быть хотя бы по одному камню, и новая координата камня $$$2y_i - x_i$$$ не должна превосходить $$$10^{18}$$$ по абсолютной величине.</p><p>Если существует несколько подходящих последовательностей, выведите любую. Гарантируется, что если подходящая последовательность операций существует, то существует и последовательность, удовлетворяющая всем дополнительным ограничениям.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 0 1 2 3 3 5 6 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 1 3 2 5 0 3 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 0 0 0 0 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 0 0 0 1 0 1 0 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> -1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); 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["\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

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1276F

1276

F

ru

F. Звёздочки и подстроки

<div class="problem-statement"><div class="header"><div class="title">F. Звёздочки и подстроки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>5 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Рассмотрим строку $$$s$$$ из $$$n$$$ маленьких английских букв. Пусть $$$t_i$$$ — строка, полученная из $$$s$$$ заменой $$$i$$$-го символа на символ звёздочки <span class="tex-font-style-tt">*</span>. Например, если $$$s = \mathtt{abc}$$$, то $$$t_1 = \tt{*bc}$$$, $$$t_2 = \tt{a*c}$$$ и $$$t_3 = \tt{ab*}$$$.</p><p>По данной строке $$$s$$$ определите количество различных строк из маленьких латинских букв и звёздочек, которые встречаются как подстроки хотя бы в одной из строк $$$\{s, t_1, \ldots, t_n \}$$$. Пустая строка входит в ответ.</p><p>Обратите внимание, что <span class="tex-font-style-tt">*</span> в данной задаче является обычным символом и не играет специальной роли, как например, в подстановке регулярных выражений.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке записана строка $$$s$$$ из $$$n$$$ маленьких английских букв ($$$1 \leq n \leq 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно число — количество различных подстрок $$$s, t_1, \ldots, t_n$$$.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> abc </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 15 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В примере различными подстроками являются: <span class="tex-font-style-it">(пустая строка)</span>, <span class="tex-font-style-tt">a</span>, <span class="tex-font-style-tt">b</span>, <span class="tex-font-style-tt">c</span>, <span class="tex-font-style-tt">*</span>, <span class="tex-font-style-tt">ab</span>, <span class="tex-font-style-tt">a*</span>, <span class="tex-font-style-tt">bc</span>, <span class="tex-font-style-tt">b*</span>, <span class="tex-font-style-tt">*b</span>, <span class="tex-font-style-tt">*c</span>, <span class="tex-font-style-tt">abc</span>, <span class="tex-font-style-tt">ab*</span>, <span class="tex-font-style-tt">a*c</span>, <span class="tex-font-style-tt">*bc</span>.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72120" title="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" target="_blank">Анонс <span class="resource-locale">(рус.)</span></a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10054" resourceName="Технокубок 2020 — Отборочный Раунд 4 (и открытые рейтинговые раунды Codeforces Round 606 Div.1, Div.2)" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10086:10087" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1276">Задачи</a></li> <li><a href="/contest/1276/submit">Отослать</a></li> <li><a href="/contest/1276/my">Мои посылки</a></li> <li><a href="/contest/1276/status">Статус</a></li> <li><a href="/contest/1276/hacks">Взломы</a></li> <li><a href="/contest/1276/room/1">Комната</a></li> <li><a href="/contest/1276/standings">Положение</a></li> <li><a href="/contest/1276/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; max-width: 120rem !important; } .testCaseMarker { position: absolute; font-weight: bold; font-size: 1rem; } .diff-popup { width: 90vw; max-width: 120rem !important; display: none; overflow: auto; } .input-output-copier { font-size: 1.2rem; float: right; color: #888 !important; cursor: pointer; border: 1px solid rgb(185, 185, 185); padding: 3px; margin: 1px; line-height: 1.1rem; text-transform: none; } .input-output-copier:hover { background-color: #def; } .test-explanation textarea { width: 100%; height: 1.5em; } .pending-submission-message { color: darkorange !important; } </style> <script> const OPENING_SPACE = String.fromCharCode(1001); const CLOSING_SPACE = String.fromCharCode(1002); const nodeToText = function (node, pre) { let result = []; if (node.tagName === "SCRIPT" || node.tagName === "math" || (node.classList && node.classList.contains("input-output-copier"))) return []; if (node.tagName === "NOBR") { result.push(OPENING_SPACE); } if (node.nodeType === Node.TEXT_NODE) { let s = node.textContent; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_11a6e8c55f715851c030ed697a24b7905f7fd1e4"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Звёздочки и подстроки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>5 секунд</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>512 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Рассмотрим строку $$$s$$$ из $$$n$$$ маленьких английских букв. Пусть $$$t_i$$$ — строка, полученная из $$$s$$$ заменой $$$i$$$-го символа на символ звёздочки <span class="tex-font-style-tt">*</span>. Например, если $$$s = \mathtt{abc}$$$, то $$$t_1 = \tt{*bc}$$$, $$$t_2 = \tt{a*c}$$$ и $$$t_3 = \tt{ab*}$$$.</p><p>По данной строке $$$s$$$ определите количество различных строк из маленьких латинских букв и звёздочек, которые встречаются как подстроки хотя бы в одной из строк $$$\{s, t_1, \ldots, t_n \}$$$. Пустая строка входит в ответ.</p><p>Обратите внимание, что <span class="tex-font-style-tt">*</span> в данной задаче является обычным символом и не играет специальной роли, как например, в подстановке регулярных выражений.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В единственной строке записана строка $$$s$$$ из $$$n$$$ маленьких английских букв ($$$1 \leq n \leq 10^5$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите одно число — количество различных подстрок $$$s, t_1, \ldots, t_n$$$.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> abc </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 15 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В примере различными подстроками являются: <span class="tex-font-style-it">(пустая строка)</span>, <span class="tex-font-style-tt">a</span>, <span class="tex-font-style-tt">b</span>, <span class="tex-font-style-tt">c</span>, <span class="tex-font-style-tt">*</span>, <span class="tex-font-style-tt">ab</span>, <span class="tex-font-style-tt">a*</span>, <span class="tex-font-style-tt">bc</span>, <span class="tex-font-style-tt">b*</span>, <span class="tex-font-style-tt">*b</span>, <span class="tex-font-style-tt">*c</span>, <span class="tex-font-style-tt">abc</span>, <span class="tex-font-style-tt">ab*</span>, <span class="tex-font-style-tt">a*c</span>, <span class="tex-font-style-tt">*bc</span>.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); 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["\u0421\u0443\u0444\u0444\u0438\u043a\u0441\u043d\u044b\u0435 \u043c\u0430\u0441\u0441\u0438\u0432\u044b, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u0438 \u0430\u0432\u0442\u043e\u043c\u0430\u0442\u044b", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0441\u0442\u0440\u043e\u043a\u043e\u0432\u044b\u0435 \u0441\u0443\u0444\u0444. \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b", "*3400"]

1277A

1277

A

ru

A. С днём рождения, Поликарп!

<div class="problem-statement"><div class="header"><div class="title">A. С днём рождения, Поликарп!</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Ура! Поликарпу исполнилось $$$n$$$ лет! Команда Технокубка от всей души поздравляет Поликарпа!</p><p>Поликарп отмечал все свои $$$n$$$ дней рождения — от $$$1$$$-го до $$$n$$$-го. В настоящий момент ему интересно: сколько раз ему исполнялось <span class="tex-font-style-it">красивое</span> число лет?</p><p>По мнению Поликарпа положительное целое число является <span class="tex-font-style-it">красивым</span>, если состоит только из одной цифры, повторенной один или более раз. Например, следующие числа являются красивыми: $$$1$$$, $$$77$$$, $$$777$$$, $$$44$$$ и $$$999999$$$. Следующие числа красивыми не являются: $$$12$$$, $$$11110$$$, $$$6969$$$ и $$$987654321$$$.</p><p>Конечно, Поликарп использует запись числа в привычной ему десятичной системе счисления.</p><p>Помогите Поликарпу — найдите количество чисел от $$$1$$$ до $$$n$$$ (включительно), которые являются красивыми.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Каждый набор входных данных состоит из одной строки, которая содержит целое положительное число $$$n$$$ ($$$1 \le n \le 10^9$$$) — сколько лет исполнилось Поликарпу.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел — ответы на заданные наборы входных данных в порядке их записи в тесте. Каждый ответ является целым числом — количеством красивых лет от $$$1$$$ до $$$n$$$.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 18 1 9 100500 33 1000000000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 10 1 9 45 12 81 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных примера искомые красивые года это — $$$1$$$, $$$2$$$, $$$3$$$, $$$4$$$, $$$5$$$, $$$6$$$, $$$7$$$, $$$8$$$, $$$9$$$ и $$$11$$$.</p></div></div>

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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10088:10089" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1277">Задачи</a></li> <li><a href="/contest/1277/submit">Отослать</a></li> <li><a href="/contest/1277/my">Мои посылки</a></li> <li><a href="/contest/1277/status">Статус</a></li> <li><a href="/contest/1277/hacks">Взломы</a></li> <li><a href="/contest/1277/room/1">Комната</a></li> <li><a href="/contest/1277/standings">Положение</a></li> <li><a href="/contest/1277/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_5c23b35cca356e45bbcf50845dd718216520c288"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. С днём рождения, Поликарп!</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Ура! Поликарпу исполнилось $$$n$$$ лет! Команда Технокубка от всей души поздравляет Поликарпа!</p><p>Поликарп отмечал все свои $$$n$$$ дней рождения — от $$$1$$$-го до $$$n$$$-го. В настоящий момент ему интересно: сколько раз ему исполнялось <span class="tex-font-style-it">красивое</span> число лет?</p><p>По мнению Поликарпа положительное целое число является <span class="tex-font-style-it">красивым</span>, если состоит только из одной цифры, повторенной один или более раз. Например, следующие числа являются красивыми: $$$1$$$, $$$77$$$, $$$777$$$, $$$44$$$ и $$$999999$$$. Следующие числа красивыми не являются: $$$12$$$, $$$11110$$$, $$$6969$$$ и $$$987654321$$$.</p><p>Конечно, Поликарп использует запись числа в привычной ему десятичной системе счисления.</p><p>Помогите Поликарпу — найдите количество чисел от $$$1$$$ до $$$n$$$ (включительно), которые являются красивыми.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Каждый набор входных данных состоит из одной строки, которая содержит целое положительное число $$$n$$$ ($$$1 \le n \le 10^9$$$) — сколько лет исполнилось Поликарпу.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел — ответы на заданные наборы входных данных в порядке их записи в тесте. Каждый ответ является целым числом — количеством красивых лет от $$$1$$$ до $$$n$$$.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 6 18 1 9 100500 33 1000000000 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 10 1 9 45 12 81 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных примера искомые красивые года это — $$$1$$$, $$$2$$$, $$$3$$$, $$$4$$$, $$$5$$$, $$$6$$$, $$$7$$$, $$$8$$$, $$$9$$$ и $$$11$$$.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); 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1277B

1277

B

ru

B. Сделай нечетными

<div class="problem-statement"><div class="header"><div class="title">B. Сделай нечетными</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Заданы $$$n$$$ положительных целых чисел $$$a_1, a_2, \dots, a_n$$$. За один ход можно выбрать произвольное четное значение $$$c$$$ и поделить на два <span class="tex-font-style-bf">все</span> элементы, которые равны $$$c$$$.</p><p>Например, если $$$a=[6,8,12,6,3,12]$$$ и выбрать $$$c=6$$$, то после совершения хода $$$a$$$ примет вид: $$$a=[3,8,12,3,3,12]$$$.</p><p>Вам требуется найти минимальное количество ходов, чтобы сделать все числа в $$$a$$$ нечетными (т.е. не делящимися нацело на $$$2$$$).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка набора входных данных содержит $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — количество чисел в заданной последовательности $$$a$$$. Вторая строка содержит положительные целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк — ответы для заданных наборов входных данных в порядке их следования в тесте. Ответ равен минимальному количеству ходов, чтобы сделать все числа в наборе входных данных нечетными (то есть, которые не делятся на $$$2$$$).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 6 40 6 40 3 20 1 1 1024 4 2 4 8 16 3 3 1 7 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 10 4 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных последовательность действий может быть такая:</p><ul> <li> до совершения ходов $$$a=[40, 6, 40, 3, 20, 1]$$$; </li><li> выберем $$$c=6$$$; </li><li> теперь $$$a=[40, 3, 40, 3, 20, 1]$$$; </li><li> выберем $$$c=40$$$; </li><li> теперь $$$a=[20, 3, 20, 3, 20, 1]$$$; </li><li> выберем $$$c=20$$$; </li><li> теперь $$$a=[10, 3, 10, 3, 10, 1]$$$; </li><li> выберем $$$c=10$$$; </li><li> теперь $$$a=[5, 3, 5, 3, 5, 1]$$$ — все числа нечётные. </li></ul><p>Таким образом, все числа стали нечётными за $$$4$$$ хода. За $$$3$$$ хода или менее сделать их все нечётными нельзя.</p></div></div>

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Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1277/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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background-color:#f0f0f0;float:left;"> <span class="tag-box" style="font-size:1.2rem;" title="Сложность"> *1200 </span> </div> <div style="clear:both;text-align:right;font-size:1.1rem;"> <span title="Пожалуйста, войдите в систему" class="notice">Нет прав на редактирование</span> </div> </div> </div> <form id="addTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='930a926e8d28eabba6f92ab7ff255d68'/> <input name="action" type="hidden" value="addTag"/> <input name="problemId" type="hidden" value="495582"/> <input name="tagName" type="hidden" value=""/> </form> <form id="removeTagForm" action="/data/problemTags" method="post" style="display:none;"><input type='hidden' name='csrf_token' value='930a926e8d28eabba6f92ab7ff255d68'/> <input name="action" type="hidden" value="removeTag"/> <input name="problemId" type="hidden" value="495582"/> <input name="tagName" type="hidden" value=""/> </form> <script type="text/javascript"> $(".tag-box img").click(function () { var tagName = $(this).attr("value"); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10088:10089" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1277">Задачи</a></li> <li><a href="/contest/1277/submit">Отослать</a></li> <li><a href="/contest/1277/my">Мои посылки</a></li> <li><a href="/contest/1277/status">Статус</a></li> <li><a href="/contest/1277/hacks">Взломы</a></li> <li><a href="/contest/1277/room/1">Комната</a></li> <li><a href="/contest/1277/standings">Положение</a></li> <li><a href="/contest/1277/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_30d860281f83305e9c8922a174c46398521964bb"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. Сделай нечетными</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Заданы $$$n$$$ положительных целых чисел $$$a_1, a_2, \dots, a_n$$$. За один ход можно выбрать произвольное четное значение $$$c$$$ и поделить на два <span class="tex-font-style-bf">все</span> элементы, которые равны $$$c$$$.</p><p>Например, если $$$a=[6,8,12,6,3,12]$$$ и выбрать $$$c=6$$$, то после совершения хода $$$a$$$ примет вид: $$$a=[3,8,12,3,3,12]$$$.</p><p>Вам требуется найти минимальное количество ходов, чтобы сделать все числа в $$$a$$$ нечетными (т.е. не делящимися нацело на $$$2$$$).</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее следуют $$$t$$$ наборов входных данных.</p><p>Первая строка набора входных данных содержит $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — количество чисел в заданной последовательности $$$a$$$. Вторая строка содержит положительные целые числа $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ строк — ответы для заданных наборов входных данных в порядке их следования в тесте. Ответ равен минимальному количеству ходов, чтобы сделать все числа в наборе входных данных нечетными (то есть, которые не делятся на $$$2$$$).</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 6 40 6 40 3 20 1 1 1024 4 2 4 8 16 3 3 1 7 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 10 4 0 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом наборе входных данных последовательность действий может быть такая:</p><ul> <li> до совершения ходов $$$a=[40, 6, 40, 3, 20, 1]$$$; </li><li> выберем $$$c=6$$$; </li><li> теперь $$$a=[40, 3, 40, 3, 20, 1]$$$; </li><li> выберем $$$c=40$$$; </li><li> теперь $$$a=[20, 3, 20, 3, 20, 1]$$$; </li><li> выберем $$$c=20$$$; </li><li> теперь $$$a=[10, 3, 10, 3, 10, 1]$$$; </li><li> выберем $$$c=10$$$; </li><li> теперь $$$a=[5, 3, 5, 3, 5, 1]$$$ — все числа нечётные. </li></ul><p>Таким образом, все числа стали нечётными за $$$4$$$ хода. За $$$3$$$ хода или менее сделать их все нечётными нельзя.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); $("#facebox .diff-popup").html(result["diff"]); } }, "json"); }); } } else { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0422\u0435\u043e\u0440\u0438\u044f \u0447\u0438\u0441\u0435\u043b: \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u042d\u0439\u043b\u0435\u0440\u0430, \u041d\u041e\u0414, \u0434\u0435\u043b\u0438\u043c\u043e\u0441\u0442\u044c \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0442\u0435\u043e\u0440\u0438\u044f \u0447\u0438\u0441\u0435\u043b", "*1200"]

1277C

1277

C

ru

C. Просто как one и two

<div class="problem-statement"><div class="header"><div class="title">C. Просто как one и two</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Задана непустая строка $$$s=s_1s_2\dots s_n$$$, которая состоит исключительно из строчных букв латинского алфавита. Строка не нравится Поликарпу, если содержит в качестве <span class="tex-font-style-bf">подстроки</span> строки хотя бы одну строку «<span class="tex-font-style-tt">one</span>» или хотя бы одну строку «<span class="tex-font-style-tt">two</span>» (или их обе одновременно). Иными словами, строка $$$s$$$ не нравится Поликарпу, если существует такое целое $$$j$$$ ($$$1 \le j \le n-2$$$), что $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">one</span>» или $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">two</span>».</p><p>Например:</p><ul> <li> «<span class="tex-font-style-tt">oneee</span>», «<span class="tex-font-style-tt">ontwow</span>», «<span class="tex-font-style-tt">twone</span>» и «<span class="tex-font-style-tt">oneonetwo</span>» — не нравятся Поликарпу (в них есть хотя бы одна подстрока «<span class="tex-font-style-tt">one</span>» или «<span class="tex-font-style-tt">two</span>»); </li><li> «<span class="tex-font-style-tt">oonnee</span>», «<span class="tex-font-style-tt">twwwo</span>» и «<span class="tex-font-style-tt">twnoe</span>» — нравятся Поликарпу (в них нет подстрок «<span class="tex-font-style-tt">one</span>» и «<span class="tex-font-style-tt">two</span>»). </li></ul><p>Поликарп хочет выбрать некоторый набор индексов (позиций) и удалить все буквы на этих позициях. Процесс удаления букв происходит одновременно.</p><p>Например, если строка имела вид $$$s=$$$«<span class="tex-font-style-tt">onetwone</span>», то если Поликарп выберет два индекса $$$3$$$ и $$$6$$$, то будут выбраны «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>» и в результате получится «<span class="tex-font-style-tt">ontwne</span>».</p><p>Какое минимальное количество индексов (позиций) надо выбрать Поликарпу, чтобы строка перестала ему не нравиться? Какие это должны быть позиции?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее заданы сами наборы входных данных.</p><p>Каждый набор входных данных состоит из одной непустой строки, содержащей $$$s$$$. Ее длина не превосходит $$$1.5\cdot10^5$$$. Строка $$$s$$$ состоит исключительно из строчных букв латинского алфавита.</p><p>Гарантируется, что сумма длин всех строк по всем наборам входных данных в тесте не превосходит $$$1.5\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого набора входных данных выведите ответ.</p><p>Первая строка ответа должна содержать $$$r$$$ ($$$0 \le r \le |s|$$$) — искомое минимальное количество позиций, где $$$|s|$$$ — длина заданной строки. Вторая строка ответа должна содержать $$$r$$$ различных целых чисел от — сами индексы для удаления в произвольном порядке. Индексы нумеруются слева направо в от $$$1$$$ до длины строки. Если $$$r=0$$$, то вторую строку можно не выводить (а можно вывести пустой). Если ответов несколько, то выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 onetwone testme oneoneone twotwo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 6 3 0 3 4 1 7 2 1 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 onetwonetwooneooonetwooo two one twooooo ttttwo ttwwoo ooone onnne oneeeee oneeeeeeetwooooo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 18 11 12 1 6 21 1 1 1 3 1 2 1 6 0 1 4 0 1 1 2 1 11 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере ответы равны:</p><ul> <li> «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt">testme</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>». </li></ul><p>Во втором примере ответы равны: </p><ul> <li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>»; </li><li> «<span class="tex-font-style-tt">tttt<span class="tex-font-style-underline"><span class="tex-font-style-bf">w</span></span>o</span>»; </li><li> «<span class="tex-font-style-tt">ttwwoo</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt">ooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e</span>»; </li><li> «<span class="tex-font-style-tt">onnne</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeee</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeeeee<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>». </li></ul></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10088:10089" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1277">Задачи</a></li> <li><a href="/contest/1277/submit">Отослать</a></li> <li><a href="/contest/1277/my">Мои посылки</a></li> <li><a href="/contest/1277/status">Статус</a></li> <li><a href="/contest/1277/hacks">Взломы</a></li> <li><a href="/contest/1277/room/1">Комната</a></li> <li><a href="/contest/1277/standings">Положение</a></li> <li><a href="/contest/1277/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="C" data-uuid="ps_639fbba82f12159d46b093a5fd4d9d40ac91121d"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">C. Просто как one и two</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Задана непустая строка $$$s=s_1s_2\dots s_n$$$, которая состоит исключительно из строчных букв латинского алфавита. Строка не нравится Поликарпу, если содержит в качестве <span class="tex-font-style-bf">подстроки</span> строки хотя бы одну строку «<span class="tex-font-style-tt">one</span>» или хотя бы одну строку «<span class="tex-font-style-tt">two</span>» (или их обе одновременно). Иными словами, строка $$$s$$$ не нравится Поликарпу, если существует такое целое $$$j$$$ ($$$1 \le j \le n-2$$$), что $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">one</span>» или $$$s_{j}s_{j+1}s_{j+2}=$$$«<span class="tex-font-style-tt">two</span>».</p><p>Например:</p><ul> <li> «<span class="tex-font-style-tt">oneee</span>», «<span class="tex-font-style-tt">ontwow</span>», «<span class="tex-font-style-tt">twone</span>» и «<span class="tex-font-style-tt">oneonetwo</span>» — не нравятся Поликарпу (в них есть хотя бы одна подстрока «<span class="tex-font-style-tt">one</span>» или «<span class="tex-font-style-tt">two</span>»); </li><li> «<span class="tex-font-style-tt">oonnee</span>», «<span class="tex-font-style-tt">twwwo</span>» и «<span class="tex-font-style-tt">twnoe</span>» — нравятся Поликарпу (в них нет подстрок «<span class="tex-font-style-tt">one</span>» и «<span class="tex-font-style-tt">two</span>»). </li></ul><p>Поликарп хочет выбрать некоторый набор индексов (позиций) и удалить все буквы на этих позициях. Процесс удаления букв происходит одновременно.</p><p>Например, если строка имела вид $$$s=$$$«<span class="tex-font-style-tt">onetwone</span>», то если Поликарп выберет два индекса $$$3$$$ и $$$6$$$, то будут выбраны «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>» и в результате получится «<span class="tex-font-style-tt">ontwne</span>».</p><p>Какое минимальное количество индексов (позиций) надо выбрать Поликарпу, чтобы строка перестала ему не нравиться? Какие это должны быть позиции?</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке входных данных записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее заданы сами наборы входных данных.</p><p>Каждый набор входных данных состоит из одной непустой строки, содержащей $$$s$$$. Ее длина не превосходит $$$1.5\cdot10^5$$$. Строка $$$s$$$ состоит исключительно из строчных букв латинского алфавита.</p><p>Гарантируется, что сумма длин всех строк по всем наборам входных данных в тесте не превосходит $$$1.5\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Для каждого набора входных данных выведите ответ.</p><p>Первая строка ответа должна содержать $$$r$$$ ($$$0 \le r \le |s|$$$) — искомое минимальное количество позиций, где $$$|s|$$$ — длина заданной строки. Вторая строка ответа должна содержать $$$r$$$ различных целых чисел от — сами индексы для удаления в произвольном порядке. Индексы нумеруются слева направо в от $$$1$$$ до длины строки. Если $$$r=0$$$, то вторую строку можно не выводить (а можно вывести пустой). Если ответов несколько, то выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 onetwone testme oneoneone twotwo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 2 6 3 0 3 4 1 7 2 1 4 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 10 onetwonetwooneooonetwooo two one twooooo ttttwo ttwwoo ooone onnne oneeeee oneeeeeeetwooooo </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 6 18 11 12 1 6 21 1 1 1 3 1 2 1 6 0 1 4 0 1 1 2 1 11 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>В первом примере ответы равны:</p><ul> <li> «<span class="tex-font-style-tt">on<span class="tex-font-style-underline"><span class="tex-font-style-bf">e</span></span>tw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt">testme</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>». </li></ul><p>Во втором примере ответы равны: </p><ul> <li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>netw<span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wo</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>ne</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>»; </li><li> «<span class="tex-font-style-tt">tttt<span class="tex-font-style-underline"><span class="tex-font-style-bf">w</span></span>o</span>»; </li><li> «<span class="tex-font-style-tt">ttwwoo</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt">ooo<span class="tex-font-style-underline"><span class="tex-font-style-bf">n</span></span>e</span>»; </li><li> «<span class="tex-font-style-tt">onnne</span>» — строка уже нравится Поликарпу, ничего удалять не надо; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeee</span>»; </li><li> «<span class="tex-font-style-tt"><span class="tex-font-style-underline"><span class="tex-font-style-bf">o</span></span>neeeeeee<span class="tex-font-style-underline"><span class="tex-font-style-bf">t</span></span>wooooo</span>». </li></ul></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=C]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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["\u0414\u0438\u043d\u0430\u043c\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435", "\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0434\u043f", "\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "*1400"]

1277D

1277

D

ru

D. Сыграем в слова?

<div class="problem-statement"><div class="header"><div class="title">D. Сыграем в слова?</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Поликарпа есть $$$n$$$ <span class="tex-font-style-bf">различных</span> бинарных слов. Слово называется бинарным, если состоит только из символов '<span class="tex-font-style-tt">0</span>' и '<span class="tex-font-style-tt">1</span>'. Например, следующие слова являются бинарными: «<span class="tex-font-style-tt">0001</span>», «<span class="tex-font-style-tt">11</span>», «<span class="tex-font-style-tt">0</span>» и «<span class="tex-font-style-tt">0011100</span>».</p><p>Поликарп хочет предложить этот набор из $$$n$$$ слов для игры в слова. Напомним, что это такая игра, во время которой игроки называют слова и каждое очередное слово (начиная со второго названного) начинается на тот же символ, что закончилось предыдущее слово. Первое названное слово может быть любым. Например, следующая последовательность слов может быть произнесена во время игры: «<span class="tex-font-style-tt">0101</span>», «<span class="tex-font-style-tt">1</span>», «<span class="tex-font-style-tt">10</span>», «<span class="tex-font-style-tt">00</span>», «<span class="tex-font-style-tt">00001</span>».</p><p>Переворотом строки называется операция изменения порядка символов строки на обратный. Например, строка «<span class="tex-font-style-tt">0111</span>» после переворота примет вид: «<span class="tex-font-style-tt">1110</span>», а строка «<span class="tex-font-style-tt">11010</span>» после переворота примет вид: «<span class="tex-font-style-tt">01011</span>».</p><p>Возможно, набор слов Поликарпа такой, что не существует способа расположить их все в таком порядке, который согласуется с правилами игры. По этой причине Поликарп хочет перевернуть некоторые строки из заданного набора так, чтобы:</p><ul> <li> получившийся набор из $$$n$$$ строк всё еще содержал <span class="tex-font-style-bf">различные</span> строки; </li><li> строки из получившегося набора можно расположить в таком порядке, чтобы полученная последовательность из $$$n$$$ строк была согласована с правилами игры. </li></ul><p>Помогите Поликарпу выбрать минимальный набор строк, которые надо перевернуть.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее записаны $$$t$$$ наборов входных данных.</p><p>В первой строке каждого набора содержится целое число $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — количество строк в наборе Поликарпа. Следующие $$$n$$$ строк представляют собой строки набора. Все $$$n$$$ строк — непустые, состоят только из символов '<span class="tex-font-style-tt">0</span>' и '<span class="tex-font-style-tt">1</span>'. Сумма длин строк не превосходит $$$4\cdot10^6$$$. Все строки — <span class="tex-font-style-bf">различны</span>.</p><p>Гарантируется, что сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$. Гарантируется, что сумма длин всех строк Поликарпа по всем наборам входных данных в тесте не превосходит $$$4\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответы на $$$t$$$ наборов входных данных в порядке их следования.</p><p>Если ответа на набор входных данных не существует, то выведите <span class="tex-font-style-tt">-1</span>. Иначе первая строка ответа должна содержать целое число $$$k$$$ ($$$0 \le k \le n$$$) — минимальное количество строк набора, которые надо перевернуть. Во вторую строку ответа выведите индексы $$$k$$$ строк, которые надо перевернуть. Строки нумеруются в порядке их записи во входных данных от $$$1$$$ до $$$n$$$. Если $$$k=0$$$, то вторую строку можно не выводить (или можно вывести пустую строку). Если ответов несколько, то выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 4 0001 1000 0011 0111 3 010 101 0 2 00000 00001 4 01 001 0001 00001 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 3 -1 0 2 1 2 </pre></div></div></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10088:10089" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1277">Задачи</a></li> <li><a href="/contest/1277/submit">Отослать</a></li> <li><a href="/contest/1277/my">Мои посылки</a></li> <li><a href="/contest/1277/status">Статус</a></li> <li><a href="/contest/1277/hacks">Взломы</a></li> <li><a href="/contest/1277/room/1">Комната</a></li> <li><a href="/contest/1277/standings">Положение</a></li> <li><a href="/contest/1277/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="D" data-uuid="ps_baad838fde198944cd4b2495b0ec61981a1e92d3"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">D. Сыграем в слова?</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У Поликарпа есть $$$n$$$ <span class="tex-font-style-bf">различных</span> бинарных слов. Слово называется бинарным, если состоит только из символов '<span class="tex-font-style-tt">0</span>' и '<span class="tex-font-style-tt">1</span>'. Например, следующие слова являются бинарными: «<span class="tex-font-style-tt">0001</span>», «<span class="tex-font-style-tt">11</span>», «<span class="tex-font-style-tt">0</span>» и «<span class="tex-font-style-tt">0011100</span>».</p><p>Поликарп хочет предложить этот набор из $$$n$$$ слов для игры в слова. Напомним, что это такая игра, во время которой игроки называют слова и каждое очередное слово (начиная со второго названного) начинается на тот же символ, что закончилось предыдущее слово. Первое названное слово может быть любым. Например, следующая последовательность слов может быть произнесена во время игры: «<span class="tex-font-style-tt">0101</span>», «<span class="tex-font-style-tt">1</span>», «<span class="tex-font-style-tt">10</span>», «<span class="tex-font-style-tt">00</span>», «<span class="tex-font-style-tt">00001</span>».</p><p>Переворотом строки называется операция изменения порядка символов строки на обратный. Например, строка «<span class="tex-font-style-tt">0111</span>» после переворота примет вид: «<span class="tex-font-style-tt">1110</span>», а строка «<span class="tex-font-style-tt">11010</span>» после переворота примет вид: «<span class="tex-font-style-tt">01011</span>».</p><p>Возможно, набор слов Поликарпа такой, что не существует способа расположить их все в таком порядке, который согласуется с правилами игры. По этой причине Поликарп хочет перевернуть некоторые строки из заданного набора так, чтобы:</p><ul> <li> получившийся набор из $$$n$$$ строк всё еще содержал <span class="tex-font-style-bf">различные</span> строки; </li><li> строки из получившегося набора можно расположить в таком порядке, чтобы полученная последовательность из $$$n$$$ строк была согласована с правилами игры. </li></ul><p>Помогите Поликарпу выбрать минимальный набор строк, которые надо перевернуть.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 10^4$$$) — количество наборов входных данных в тесте. Далее записаны $$$t$$$ наборов входных данных.</p><p>В первой строке каждого набора содержится целое число $$$n$$$ ($$$1 \le n \le 2\cdot10^5$$$) — количество строк в наборе Поликарпа. Следующие $$$n$$$ строк представляют собой строки набора. Все $$$n$$$ строк — непустые, состоят только из символов '<span class="tex-font-style-tt">0</span>' и '<span class="tex-font-style-tt">1</span>'. Сумма длин строк не превосходит $$$4\cdot10^6$$$. Все строки — <span class="tex-font-style-bf">различны</span>.</p><p>Гарантируется, что сумма всех значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$. Гарантируется, что сумма длин всех строк Поликарпа по всем наборам входных данных в тесте не превосходит $$$4\cdot10^6$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите ответы на $$$t$$$ наборов входных данных в порядке их следования.</p><p>Если ответа на набор входных данных не существует, то выведите <span class="tex-font-style-tt">-1</span>. Иначе первая строка ответа должна содержать целое число $$$k$$$ ($$$0 \le k \le n$$$) — минимальное количество строк набора, которые надо перевернуть. Во вторую строку ответа выведите индексы $$$k$$$ строк, которые надо перевернуть. Строки нумеруются в порядке их записи во входных данных от $$$1$$$ до $$$n$$$. Если $$$k=0$$$, то вторую строку можно не выводить (или можно вывести пустую строку). Если ответов несколько, то выведите любой из них.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 4 4 0001 1000 0011 0111 3 010 101 0 2 00000 00001 4 01 001 0001 00001 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 3 -1 0 2 1 2 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=D]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); $problem.find(".diff-notifier").hide(); }); $problem.find("a.view-changes").click(function() { $.post("/data/diff", {action: "getDiff", a: previousStatementText, b: statementText}, function (result) { if (result["success"] === "true") { Codeforces.facebox(".diff-popup", "//codeforces.org/s/36819"); 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["\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u041a\u0443\u0447\u0438, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043e\u0442\u0440\u0435\u0437\u043a\u043e\u0432, \u0434\u0435\u0440\u0435\u0432\u044c\u044f \u043f\u043e\u0438\u0441\u043a\u0430 \u0438 \u0434\u0440.", "\u0425\u044d\u0448\u0438, \u0445\u044d\u0448-\u0442\u0430\u0431\u043b\u0438\u0446\u044b", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "\u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b \u0434\u0430\u043d\u043d\u044b\u0445", "\u0445\u044d\u0448\u0438", "*1900"]

1277E

1277

E

ru

E. Две ярмарки

<div class="problem-statement"><div class="header"><div class="title">E. Две ярмарки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>В Берляндии $$$n$$$ городов, некоторые пары из которых соединены двусторонними дорогами. Гарантируется, что из любого города можно доехать в любой другой, двигаясь по дорогам. Города пронумерованы от $$$1$$$ до $$$n$$$.</p><p>В настоящий момент в Берляндии проходят две ярмарки — они проходят в двух различных городах $$$a$$$ и $$$b$$$ ($$$1 \le a, b \le n$$$; $$$a \ne b$$$).</p><p>Найдите количество таких пар городов $$$x$$$ и $$$y$$$ ($$$x \ne a, x \ne b, y \ne a, y \ne b$$$), что двигаясь из $$$x$$$ в $$$y$$$ обязательно придётся проехать через обе ярмарки (порядок их посещения не важен). Формально, надо найти количество таких пар городов $$$x,y$$$, что любой путь из $$$x$$$ в $$$y$$$ проходит и через $$$a$$$ и через $$$b$$$ (в любом порядке).</p><p>Выведите искомое количество пар. Порядок двух городов в паре не имеет значение, то есть пары $$$(x,y)$$$ и $$$(y,x)$$$ надо учитывать один раз.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 4\cdot10^4$$$) — количество наборов входных данных в тесте. Далее записаны $$$t$$$ наборов входных данных.</p><p>В первой строке каждого набора содержится четыре целых числа $$$n$$$, $$$m$$$, $$$a$$$ и $$$b$$$ ($$$4 \le n \le 2\cdot10^5$$$, $$$n - 1 \le m \le 5\cdot10^5$$$, $$$1 \le a,b \le n$$$, $$$a \ne b$$$) — количество городов и дорог в Берляндии и номера двух городов, где проходят ярмарки, соответственно.</p><p>Следующие $$$m$$$ строк содержат описания дорог между городами. Каждая из них содержит пару целых чисел $$$u_i, v_i$$$ ($$$1 \le u_i, v_i \le n$$$, $$$u_i \ne v_i$$$) — номера соединенных дорогой городов.</p><p>Каждая дорога является двунаправленной, соединяет пару различных городов. Гарантируется, что из любого города можно проехать в любой другой по дорогам. Между парой городов может быть более одной дороги.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$. Сумма значений $$$m$$$ по всем наборам входных данных в тесте не превосходит $$$5\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел — ответы на заданные наборы входных данных в порядке их записи в тесте.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 7 7 3 5 1 2 2 3 3 4 4 5 5 6 6 7 7 5 4 5 2 3 1 2 2 3 3 4 4 1 4 2 4 3 2 1 1 2 2 3 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 0 1 </pre></div></div></div></div>

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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. Запрещается использовать чужой код, читать разборы задач и общаться по содержанию соревнования с кем-либо. </div> <div style="text-align:center;margin:1em;"> <form action="/contest/1277/virtual" method="get"> <input type="submit" name="submit" value="Начать виртуальное участие" style="padding:0 0.5em;"> </form> </div> </div> <script> $(function () { $(".ContestVirtualFrame .sidebar-caption-icon").click(function() { $(this).toggleClass("la-angle-down la-angle-right"); const $target = $(this).parent().next(); $target.toggle(); const dataPageUrl = $target.attr("data-page-url"); const collapsed = $(this).hasClass("la-angle-right"); const params = { action: "setCollapsed", sidebarFrameSimpleClassName: "ContestVirtualFrame", collapsed }; $.each($target[0].attributes, function(i, a) { const name = a.name; if (name.startsWith("data-extra-key-")) { const key = a.value; const keyIndex = parseInt(name.substring("data-extra-key-".length)); const value = $target.attr("data-extra-value-" + keyIndex); 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10088:10089" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1277">Задачи</a></li> <li><a href="/contest/1277/submit">Отослать</a></li> <li><a href="/contest/1277/my">Мои посылки</a></li> <li><a href="/contest/1277/status">Статус</a></li> <li><a href="/contest/1277/hacks">Взломы</a></li> <li><a href="/contest/1277/room/1">Комната</a></li> <li><a href="/contest/1277/standings">Положение</a></li> <li><a href="/contest/1277/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="E" data-uuid="ps_05f133cff0c4201a92fa7e2828cb7c3de399cefa"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">E. Две ярмарки</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>3 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>В Берляндии $$$n$$$ городов, некоторые пары из которых соединены двусторонними дорогами. Гарантируется, что из любого города можно доехать в любой другой, двигаясь по дорогам. Города пронумерованы от $$$1$$$ до $$$n$$$.</p><p>В настоящий момент в Берляндии проходят две ярмарки — они проходят в двух различных городах $$$a$$$ и $$$b$$$ ($$$1 \le a, b \le n$$$; $$$a \ne b$$$).</p><p>Найдите количество таких пар городов $$$x$$$ и $$$y$$$ ($$$x \ne a, x \ne b, y \ne a, y \ne b$$$), что двигаясь из $$$x$$$ в $$$y$$$ обязательно придётся проехать через обе ярмарки (порядок их посещения не важен). Формально, надо найти количество таких пар городов $$$x,y$$$, что любой путь из $$$x$$$ в $$$y$$$ проходит и через $$$a$$$ и через $$$b$$$ (в любом порядке).</p><p>Выведите искомое количество пар. Порядок двух городов в паре не имеет значение, то есть пары $$$(x,y)$$$ и $$$(y,x)$$$ надо учитывать один раз.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано целое число $$$t$$$ ($$$1 \le t \le 4\cdot10^4$$$) — количество наборов входных данных в тесте. Далее записаны $$$t$$$ наборов входных данных.</p><p>В первой строке каждого набора содержится четыре целых числа $$$n$$$, $$$m$$$, $$$a$$$ и $$$b$$$ ($$$4 \le n \le 2\cdot10^5$$$, $$$n - 1 \le m \le 5\cdot10^5$$$, $$$1 \le a,b \le n$$$, $$$a \ne b$$$) — количество городов и дорог в Берляндии и номера двух городов, где проходят ярмарки, соответственно.</p><p>Следующие $$$m$$$ строк содержат описания дорог между городами. Каждая из них содержит пару целых чисел $$$u_i, v_i$$$ ($$$1 \le u_i, v_i \le n$$$, $$$u_i \ne v_i$$$) — номера соединенных дорогой городов.</p><p>Каждая дорога является двунаправленной, соединяет пару различных городов. Гарантируется, что из любого города можно проехать в любой другой по дорогам. Между парой городов может быть более одной дороги.</p><p>Сумма значений $$$n$$$ по всем наборам входных данных в тесте не превосходит $$$2\cdot10^5$$$. Сумма значений $$$m$$$ по всем наборам входных данных в тесте не превосходит $$$5\cdot10^5$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>Выведите $$$t$$$ целых чисел — ответы на заданные наборы входных данных в порядке их записи в тесте.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 7 7 3 5 1 2 2 3 3 4 4 5 5 6 6 7 7 5 4 5 2 3 1 2 2 3 3 4 4 1 4 2 4 3 2 1 1 2 2 3 4 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 4 0 1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=E]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); 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["\u0413\u0440\u0430\u0444\u044b", "\u041f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0433\u0440\u0430\u0444\u044b", "\u043f\u043e\u0438\u0441\u043a \u0432 \u0433\u043b\u0443\u0431\u0438\u043d\u0443 \u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u043e\u0435", "*1900"]

1277F

1277

F

ru

F. Красивый прямоугольник

<div class="problem-statement"><div class="header"><div class="title">F. Красивый прямоугольник</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Заданы $$$n$$$ чисел. Требуется выбрать поднабор и сложить их в красивый прямоугольник (прямоугольную матрицу). Каждое выбранное число должен занять одну свою ячейку прямоугольника, каждая ячейка должна содержать ровно одно выбранное число. Некоторые из $$$n$$$ чисел могут остаться не выбранными.</p><p>Прямоугольник (прямоугольная матрица) называется красивым, если в каждой строке и в каждом столбце все значения различны.</p><p>Какой наибольший по площади (суммарному количеству ячеек) красивый прямоугольник можно сложить? Выведите и сам прямоугольник.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$). Во второй строке записаны $$$n$$$ целых чисел ($$$1 \le a_i \le 10^9$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первую строку выведите $$$x$$$ ($$$1 \le x \le n$$$) — площадь (суммарное количество ячеек) искомого максимального красивого прямоугольника. Во вторую строку выведите $$$p$$$ и $$$q$$$ ($$$p \cdot q=x$$$) — его размеры. В следующих $$$p$$$ строках выведите сам искомый прямоугольник. Если ответов несколько, выведите любой.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 12 3 1 4 1 5 9 2 6 5 3 5 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 12 3 4 1 2 3 5 3 1 5 4 5 6 8 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 1 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 1 1 </pre></div></div></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72239" title="Технокубок 2020 — Отборочный Раунд 4 + Codeforces Round 606: Разбор задач" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10088:10089" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1277">Задачи</a></li> <li><a href="/contest/1277/submit">Отослать</a></li> <li><a href="/contest/1277/my">Мои посылки</a></li> <li><a href="/contest/1277/status">Статус</a></li> <li><a href="/contest/1277/hacks">Взломы</a></li> <li><a href="/contest/1277/room/1">Комната</a></li> <li><a href="/contest/1277/standings">Положение</a></li> <li><a href="/contest/1277/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="F" data-uuid="ps_6560e9f274dcadec007f748206d158695022ab98"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">F. Красивый прямоугольник</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Заданы $$$n$$$ чисел. Требуется выбрать поднабор и сложить их в красивый прямоугольник (прямоугольную матрицу). Каждое выбранное число должен занять одну свою ячейку прямоугольника, каждая ячейка должна содержать ровно одно выбранное число. Некоторые из $$$n$$$ чисел могут остаться не выбранными.</p><p>Прямоугольник (прямоугольная матрица) называется красивым, если в каждой строке и в каждом столбце все значения различны.</p><p>Какой наибольший по площади (суммарному количеству ячеек) красивый прямоугольник можно сложить? Выведите и сам прямоугольник.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано $$$n$$$ ($$$1 \le n \le 4\cdot10^5$$$). Во второй строке записаны $$$n$$$ целых чисел ($$$1 \le a_i \le 10^9$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>В первую строку выведите $$$x$$$ ($$$1 \le x \le n$$$) — площадь (суммарное количество ячеек) искомого максимального красивого прямоугольника. Во вторую строку выведите $$$p$$$ и $$$q$$$ ($$$p \cdot q=x$$$) — его размеры. В следующих $$$p$$$ строках выведите сам искомый прямоугольник. Если ответов несколько, выведите любой.</p></div><div class="sample-tests"><div class="section-title">Примеры</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 12 3 1 4 1 5 9 2 6 5 3 5 8 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 12 3 4 1 2 3 5 3 1 5 4 5 6 8 9 </pre></div><div class="input"><div class="title">Входные данные</div><pre> 5 1 1 1 1 1 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 1 1 1 1 </pre></div></div></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=F]"); let uuid = $problem.attr("data-uuid"); let statementText = convertStatementToText($problem.find(".ttypography").get(0)); let previousStatementText = Codeforces.getFromStorage(uuid); if (previousStatementText) { if (previousStatementText !== statementText) { $problem.find(".diff-notifier").show(); $problem.find(".diff-notifier-close").click(function() { Codeforces.putToStorageTtl(uuid, statementText, 6 * 60 * 60); 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["\u0416\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u041a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u041a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u0418\u043d\u0442\u0435\u0433\u0440\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435, \u0434\u0438\u0444\u0444\u0443\u0440\u044b \u0438 \u0434\u0440.", "\u041f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u0436\u0430\u0434\u043d\u044b\u0435 \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u044b", "\u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0442\u043e\u0440\u0438\u043a\u0430", "\u043a\u043e\u043d\u0441\u0442\u0440\u0443\u043a\u0442\u0438\u0432", "\u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430", "\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "*2300"]

1278A

1278

A

ru

A. Хеширование перемешиванием

<div class="problem-statement"><div class="header"><div class="title">A. Хеширование перемешиванием</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Поликарп недавно создал новый веб сервис. Как в любом современном сервисе, в нем есть возможность авторизации. А это автоматически подразумевает угрозы безопасности.</p><p>Поликарп решил сохранять хеш пароля, полученный по следующему алгоритму:</p><ol> <li> получить пароль $$$p$$$, состоящий из строчных латинских букв, и перемешать буквы в нем, чтобы получить $$$p'$$$ ($$$p'$$$ может остаться равным $$$p$$$); </li><li> построить две случайные строки, состоящие из строчных латинских букв, $$$s_1$$$ и $$$s_2$$$ (любая из них может быть пустой); </li><li> полученный хеш $$$h = s_1 + p' + s_2$$$, где сложение — это склеивание строк. </li></ol><p>Например, пусть пароль будет $$$p =$$$ «<span class="tex-font-style-tt">abacaba</span>». Тогда $$$p'$$$ может быть равно «<span class="tex-font-style-tt">aabcaab</span>». Случайные строки $$$s1 =$$$ «<span class="tex-font-style-tt">zyx</span>» и $$$s2 =$$$ «<span class="tex-font-style-tt">kjh</span>». Тогда $$$h =$$$ «<span class="tex-font-style-tt">zyxaabcaabkjh</span>».</p><p>Обратите внимание, что нельзя удалять или добавлять буквы в $$$p$$$, чтобы получить $$$p'$$$, можно только менять их порядок.</p><p>Теперь Поликарп просит вас помочь ему в реализации модуля проверки пароля. По данному паролю $$$p$$$ и хешу $$$h$$$, проверьте, что $$$h$$$ может являться хешом пароля $$$p$$$.</p><p>Вам нужно ответить на $$$t$$$ наборов входных данных.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных.</p><p>В первой строке каждого набора входных данных содержится непустая строка $$$p$$$, состоящая из строчных латинских букв. Длина $$$p$$$ не превышает $$$100$$$.</p><p>В второй строке каждого набора входных данных содержится непустая строка $$$h$$$, состоящая из строчных латинских букв. Длина $$$h$$$ не превышает $$$100$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>На каждый набор входных данных выведите «<span class="tex-font-style-tt">YES</span>», если данный хеш $$$h$$$ может быть получен по данному паролю $$$p$$$, и «<span class="tex-font-style-tt">NO</span>» в противном случае.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 abacaba zyxaabcaabkjh onetwothree threetwoone one zzonneyy one none twenty ten </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES YES NO YES NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый набор входных данных объяснен в условии.</p><p>Во втором наборе входных данных и $$$s_1$$$, и $$$s_2$$$ пусты, а $$$p'=$$$ «<span class="tex-font-style-tt">threetwoone</span>» — это перемешанная $$$p$$$.</p><p>В третьем наборе входных данных хеш нельзя получить из пароля.</p><p>В четвертом наборе входных данных $$$s_1=$$$ «<span class="tex-font-style-tt">n</span>», $$$s_2$$$ пуста, а $$$p'=$$$ «<span class="tex-font-style-tt">one</span>» — это перемешанная $$$p$$$ (даже несмотря на то, что они совпадают).</p><p>В пятом наборе входных данных хеш нельзя получить из пароля.</p></div></div>

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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72268" title="Educational Codeforces Round 78 [рейтинговый для Div. 2]" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10105:10106" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72330" title="Разбор Educational Codeforces Round 78" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10133:10134" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1278">Задачи</a></li> <li><a href="/contest/1278/submit">Отослать</a></li> <li><a href="/contest/1278/my">Мои посылки</a></li> <li><a href="/contest/1278/status">Статус</a></li> <li><a href="/contest/1278/hacks">Взломы</a></li> <li><a href="/contest/1278/standings">Положение</a></li> <li><a href="/contest/1278/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="A" data-uuid="ps_c4b39983abbb5238c516132b094397825048a0be"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">A. Хеширование перемешиванием</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>2 секунды</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>Поликарп недавно создал новый веб сервис. Как в любом современном сервисе, в нем есть возможность авторизации. А это автоматически подразумевает угрозы безопасности.</p><p>Поликарп решил сохранять хеш пароля, полученный по следующему алгоритму:</p><ol> <li> получить пароль $$$p$$$, состоящий из строчных латинских букв, и перемешать буквы в нем, чтобы получить $$$p'$$$ ($$$p'$$$ может остаться равным $$$p$$$); </li><li> построить две случайные строки, состоящие из строчных латинских букв, $$$s_1$$$ и $$$s_2$$$ (любая из них может быть пустой); </li><li> полученный хеш $$$h = s_1 + p' + s_2$$$, где сложение — это склеивание строк. </li></ol><p>Например, пусть пароль будет $$$p =$$$ «<span class="tex-font-style-tt">abacaba</span>». Тогда $$$p'$$$ может быть равно «<span class="tex-font-style-tt">aabcaab</span>». Случайные строки $$$s1 =$$$ «<span class="tex-font-style-tt">zyx</span>» и $$$s2 =$$$ «<span class="tex-font-style-tt">kjh</span>». Тогда $$$h =$$$ «<span class="tex-font-style-tt">zyxaabcaabkjh</span>».</p><p>Обратите внимание, что нельзя удалять или добавлять буквы в $$$p$$$, чтобы получить $$$p'$$$, можно только менять их порядок.</p><p>Теперь Поликарп просит вас помочь ему в реализации модуля проверки пароля. По данному паролю $$$p$$$ и хешу $$$h$$$, проверьте, что $$$h$$$ может являться хешом пароля $$$p$$$.</p><p>Вам нужно ответить на $$$t$$$ наборов входных данных.</p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>В первой строке записано одно целое число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных.</p><p>В первой строке каждого набора входных данных содержится непустая строка $$$p$$$, состоящая из строчных латинских букв. Длина $$$p$$$ не превышает $$$100$$$.</p><p>В второй строке каждого набора входных данных содержится непустая строка $$$h$$$, состоящая из строчных латинских букв. Длина $$$h$$$ не превышает $$$100$$$.</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>На каждый набор входных данных выведите «<span class="tex-font-style-tt">YES</span>», если данный хеш $$$h$$$ может быть получен по данному паролю $$$p$$$, и «<span class="tex-font-style-tt">NO</span>» в противном случае.</p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 5 abacaba zyxaabcaabkjh onetwothree threetwoone one zzonneyy one none twenty ten </pre></div><div class="output"><div class="title">Выходные данные</div><pre> YES YES NO YES NO </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый набор входных данных объяснен в условии.</p><p>Во втором наборе входных данных и $$$s_1$$$, и $$$s_2$$$ пусты, а $$$p'=$$$ «<span class="tex-font-style-tt">threetwoone</span>» — это перемешанная $$$p$$$.</p><p>В третьем наборе входных данных хеш нельзя получить из пароля.</p><p>В четвертом наборе входных данных $$$s_1=$$$ «<span class="tex-font-style-tt">n</span>», $$$s_2$$$ пуста, а $$$p'=$$$ «<span class="tex-font-style-tt">one</span>» — это перемешанная $$$p$$$ (даже несмотря на то, что они совпадают).</p><p>В пятом наборе входных данных хеш нельзя получить из пароля.</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=A]"); 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["\u041f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0420\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f, \u0442\u0435\u0445\u043d\u0438\u043a\u0430 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f, \u0441\u0438\u043c\u0443\u043b\u044f\u0446\u0438\u044f", "\u041f\u0440\u0435\u0444\u0438\u043a\u0441- \u0438 Z-\u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0441\u0443\u0444\u0444\u0438\u043a\u0441\u043d\u044b\u0435 \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u044b, \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c \u041a\u043d\u0443\u0442\u0430-\u041c\u043e\u0440\u0440\u0438\u0441\u0430-\u041f\u0440\u0430\u0442\u0442\u0430 \u0438 \u0434\u0440.", "\u0421\u043b\u043e\u0436\u043d\u043e\u0441\u0442\u044c"]

["\u043f\u0435\u0440\u0435\u0431\u043e\u0440", "\u0440\u0435\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u044f", "\u0441\u0442\u0440\u043e\u043a\u0438", "*1000"]

1278B

1278

B

ru

B. А и Б

<div class="problem-statement"><div class="header"><div class="title">B. А и Б</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У вас есть два числа $$$a$$$ и $$$b$$$. Вы можете выполнять следующие операции с ними: в качестве первой операции увеличить одно из этих двух чисел на $$$1$$$; в качестве второй — увеличить на $$$2$$$, и так далее. Количество таких операций вы выбираете сами.</p><p>Например, если $$$a = 1$$$ и $$$b = 3$$$, вы можете сделать следующую последовательность из трех операций: </p><ol> <li> добавить $$$1$$$ к $$$a$$$, тогда $$$a = 2$$$ и $$$b = 3$$$; </li><li> добавить $$$2$$$ к $$$b$$$, тогда $$$a = 2$$$ и $$$b = 5$$$; </li><li> добавить $$$3$$$ к $$$a$$$, тогда $$$a = 5$$$ и $$$b = 5$$$. </li></ol><p>Вычислите минимальное количество операций, необходимое для того, чтобы сделать числа $$$a$$$ и $$$b$$$ равными. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных.</p><p>Каждый набор входных данных содержит два числа $$$a$$$ и $$$b$$$ ($$$1 \le a, b \le 10^9$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>На каждый набор входных данных выведите число — минимальное количество операций необходимое для того, чтобы сделать числа $$$a$$$ и $$$b$$$ равными. </p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 1 3 11 11 30 20 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 0 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый набор входных данных разобран в условии.</p><p>Во втором наборе входных данных числа $$$a$$$ и $$$b$$$ равны изначально, а значит вам вообще не нужно выполнять операций.</p><p>В третьем наборе входных данных вам нужно применить первую, вторую, третью и четвертую операции к числу $$$b$$$ ($$$b$$$ превратится в $$$20 + 1 + 2 + 3 + 4 = 30$$$).</p></div></div>

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Если вы хотите просто дорешать задачи, виртуальное соревнование не для вас – решайте эти задачи в архиве. 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} </style> <div class="roundbox sidebox sidebar-menu borderTopRound " style=""> <div class="caption titled">→ Материалы соревнования <div class="top-links"> </div> </div> <ul> <li> <span> <a href="/blog/entry/72268" title="Educational Codeforces Round 78 [рейтинговый для Div. 2]" target="_blank">Анонс</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10105:10106" resourceName="Анонс" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> <li> <span> <a href="/blog/entry/72330" title="Разбор Educational Codeforces Round 78" target="_blank">Разбор задач</a> </span> <span style="float: right;"> <img class="delete-resource-link" resourceIds="10133:10134" resourceName="Разбор задач" resourceManual="true" src="//codeforces.org/s/36819/images/icons/close-10x10.png" style="position: relative;bottom: -1px;left: 1px;cursor: pointer;"/> </span> <div style="clear: both;"></div> </li> </ul> </div></div> <div id="pageContent" class="content-with-sidebar"> <div class="second-level-menu"> <ul class="second-level-menu-list"> <li class="current selectedLava"><a href="/contest/1278">Задачи</a></li> <li><a href="/contest/1278/submit">Отослать</a></li> <li><a href="/contest/1278/my">Мои посылки</a></li> <li><a href="/contest/1278/status">Статус</a></li> <li><a href="/contest/1278/hacks">Взломы</a></li> <li><a href="/contest/1278/standings">Положение</a></li> <li><a href="/contest/1278/customtest">Запуск</a></li> </ul> </div> <style> #facebox .content:has(.diff-popup) { width: 90vw; 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} } else { result.push(c); } } return result.join("").split("\n").map(value => value.trim()).join("\n"); }; </script> <div class="diff-popup"> </div> <div class="problemindexholder" problemindex="B" data-uuid="ps_949b7f6a140d64ee9cc193974d757364b2e2e479"> <div style="display: none; margin:1em 0;text-align: center; position: relative;" class="alert alert-info diff-notifier"> <div>Условие задачи было недавно изменено. <a class="view-changes" href="#">Просмотреть изменения.</a></div> <span class="diff-notifier-close" style="position: absolute; top: 0.2em; right: 0.3em; cursor: pointer; font-size: 1.4em;">×</span> </div> <div class="ttypography"><div class="problem-statement"><div class="header"><div class="title">B. А и Б</div><div class="time-limit"><div class="property-title">ограничение по времени на тест</div>1 секунда</div><div class="memory-limit"><div class="property-title">ограничение по памяти на тест</div>256 мегабайт</div><div class="input-file"><div class="property-title">ввод</div>стандартный ввод</div><div class="output-file"><div class="property-title">вывод</div>стандартный вывод</div></div><div><p>У вас есть два числа $$$a$$$ и $$$b$$$. Вы можете выполнять следующие операции с ними: в качестве первой операции увеличить одно из этих двух чисел на $$$1$$$; в качестве второй — увеличить на $$$2$$$, и так далее. Количество таких операций вы выбираете сами.</p><p>Например, если $$$a = 1$$$ и $$$b = 3$$$, вы можете сделать следующую последовательность из трех операций: </p><ol> <li> добавить $$$1$$$ к $$$a$$$, тогда $$$a = 2$$$ и $$$b = 3$$$; </li><li> добавить $$$2$$$ к $$$b$$$, тогда $$$a = 2$$$ и $$$b = 5$$$; </li><li> добавить $$$3$$$ к $$$a$$$, тогда $$$a = 5$$$ и $$$b = 5$$$. </li></ol><p>Вычислите минимальное количество операций, необходимое для того, чтобы сделать числа $$$a$$$ и $$$b$$$ равными. </p></div><div class="input-specification"><div class="section-title">Входные данные</div><p>Первая строка содержит число $$$t$$$ ($$$1 \le t \le 100$$$) — количество наборов входных данных.</p><p>Каждый набор входных данных содержит два числа $$$a$$$ и $$$b$$$ ($$$1 \le a, b \le 10^9$$$).</p></div><div class="output-specification"><div class="section-title">Выходные данные</div><p>На каждый набор входных данных выведите число — минимальное количество операций необходимое для того, чтобы сделать числа $$$a$$$ и $$$b$$$ равными. </p></div><div class="sample-tests"><div class="section-title">Пример</div><div class="sample-test"><div class="input"><div class="title">Входные данные</div><pre> 3 1 3 11 11 30 20 </pre></div><div class="output"><div class="title">Выходные данные</div><pre> 3 0 4 </pre></div></div></div><div class="note"><div class="section-title">Примечание</div><p>Первый набор входных данных разобран в условии.</p><p>Во втором наборе входных данных числа $$$a$$$ и $$$b$$$ равны изначально, а значит вам вообще не нужно выполнять операций.</p><p>В третьем наборе входных данных вам нужно применить первую, вторую, третью и четвертую операции к числу $$$b$$$ ($$$b$$$ превратится в $$$20 + 1 + 2 + 3 + 4 = 30$$$).</p></div></div><p> </p></div> </div> <script> $(function () { Codeforces.addMathJaxListener(function () { let $problem = $("div[problemindex=B]"); 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